@article {barcelo-severs-white, AUTHOR = {Barcelo, H{\'e}l{\`e}ne and Severs, Christopher and White, Jacob A.}, TITLE = {{$k$}-parabolic subspace arrangements}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {363}, YEAR = {2011}, NUMBER = {11}, PAGES = {6063--6083}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {52C35 (05E18)}, MRNUMBER = {2817419 (2012c:52044)}, MRREVIEWER = {Colin Wilmott}, DOI = {10.1090/S0002-9947-2011-05336-5}, opturl = {http://dx.doi.org/10.1090/S0002-9947-2011-05336-5}, } @article {huh, AUTHOR = {Huh, June}, TITLE = {{$h$}-vectors of matroids and logarithmic concavity}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {270}, YEAR = {2015}, PAGES = {49--59}, ISSN = {0001-8708}, MRCLASS = {05B35 (52C35)}, MRNUMBER = {3286530}, MRREVIEWER = {Michael J. Falk}, DOI = {10.1016/j.aim.2014.11.002}, opturl = {https://doi.org/10.1016/j.aim.2014.11.002}, } @incollection {greedoid-paper, AUTHOR = {Bj\"{o}rner, Anders and Ziegler, G\"{u}nter M.}, TITLE = {Introduction to greedoids}, BOOKTITLE = {Matroid applications}, SERIES = {Encyclopedia Math. Appl.}, VOLUME = {40}, PAGES = {284--357}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, YEAR = {1992}, MRCLASS = {05B35 (90C27)}, MRNUMBER = {1165545}, DOI = {10.1017/CBO9780511662041.009}, opturl = {https://doi.org/10.1017/CBO9780511662041.009}, } @article {antimatroid-paper, AUTHOR = {Dietrich, Brenda L.}, TITLE = {Matroids and antimatroids---a survey}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {78}, YEAR = {1989}, NUMBER = {3}, PAGES = {223--237}, ISSN = {0012-365X}, MRCLASS = {05B35}, MRNUMBER = {1026344}, MRREVIEWER = {Andr\'{a}s Recski}, DOI = {10.1016/0012-365X(89)90180-5}, opturl = {https://doi.org/10.1016/0012-365X(89)90180-5}, } @article {wilf, AUTHOR = {Wilf, Herbert S.}, TITLE = {Which polynomials are chromatic?}, BOOKTITLE = {Colloquio {I}nternazionale sulle {T}eorie {C}ombinatorie ({R}oma, 1973), {T}omo {I}}, PAGES = {247--256. Atti dei Convegni Lincei, No. 17}, PUBLISHER = {Accad. Naz. Lincei, Rome}, YEAR = {1976}, MRCLASS = {05C15}, MRNUMBER = {0453579}, MRREVIEWER = {Ruth Bari}, } @article {beck-et-al, AUTHOR = {Beck, Matthias and Blado, Daniel and Crawford, Joseph and Jean-Louis, Ta\"{\i}na and Young, Michael}, TITLE = {On weak chromatic polynomials of mixed graphs}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = {31}, YEAR = {2015}, NUMBER = {1}, PAGES = {91--98}, ISSN = {0911-0119}, MRCLASS = {05C31 (05C15 05C20 06A07)}, MRNUMBER = {3293467}, MRREVIEWER = {Aysel Erey}, DOI = {10.1007/s00373-013-1381-1}, opturl = {https://doi.org/10.1007/s00373-013-1381-1}, } @article {hypergraph, AUTHOR = {Breuer, Felix and Dall, Aaron and Kubitzke, Martina}, TITLE = {Hypergraph coloring complexes}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {312}, YEAR = {2012}, NUMBER = {16}, PAGES = {2407--2420}, ISSN = {0012-365X}, MRCLASS = {05C15 (05C31 05C65 55P15)}, MRNUMBER = {2927154}, DOI = {10.1016/j.disc.2012.04.027}, opturl = {https://doi.org/10.1016/j.disc.2012.04.027}, } @article {grinberg, AUTHOR = {Grinberg, Darij}, TITLE = {Double posets and the antipode of {QS}ym}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {24}, YEAR = {2017}, NUMBER = {2}, PAGES = {Paper 2.22, 47}, MRCLASS = {05E05 (05E18 16T30)}, MRNUMBER = {3650271}, MRREVIEWER = {Matt S. Davis}, } @article {dblposet, AUTHOR = {Malvenuto, Claudia and Reutenauer, Christophe}, TITLE = {A self paired {H}opf algebra on double posets and a {L}ittlewood-{R}ichardson rule}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {118}, YEAR = {2011}, NUMBER = {4}, PAGES = {1322--1333}, ISSN = {0097-3165}, MRCLASS = {06A11 (05A05 05A17 05E05 06A05)}, MRNUMBER = {2755084}, DOI = {10.1016/j.jcta.2010.10.010}, opturl = {https://doi.org/10.1016/j.jcta.2010.10.010}, } @book {stanley-ec1, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 1}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {49}, NOTE = {With a foreword by Gian-Carlo Rota, Corrected reprint of the 1986 original}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1997}, PAGES = {xii+325}, ISBN = {0-521-55309-1; 0-521-66351-2}, MRCLASS = {05-02 (05A15 06-02 11-02)}, MRNUMBER = {MR1442260 (98a:05001)}, MRREVIEWER = {Wayne M. Dymacek}, } @book {stanley-ec2, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {62}, NOTE = {With a foreword by Gian-Carlo Rota and appendix 1 by Sergey Fomin}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1999}, PAGES = {xii+581}, ISBN = {0-521-56069-1; 0-521-78987-7}, MRCLASS = {05A15 (05-02 05E05 05E10 68R05)}, MRNUMBER = {MR1676282 (2000k:05026)}, MRREVIEWER = {Ira Gessel}, } @article {stapledon, AUTHOR = {Stapledon, Alan}, TITLE = {Equivariant {E}hrhart theory}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {226}, YEAR = {2011}, NUMBER = {4}, PAGES = {3622--3654}, ISSN = {0001-8708}, MRCLASS = {52B20 (05A15 20C15)}, MRNUMBER = {2764900}, MRREVIEWER = {Matthias Beck}, DOI = {10.1016/j.aim.2010.10.019}, opturl = {https://doi.org/10.1016/j.aim.2010.10.019}, } @article {color-simplicial, AUTHOR = {Beck, Matthias and Breuer, Felix and Godkin, Logan and Martin, Jeremy L.}, TITLE = {Enumerating colorings, tensions and flows in cell complexes}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {122}, YEAR = {2014}, PAGES = {82--106}, ISSN = {0097-3165}, MRCLASS = {05E45}, MRNUMBER = {3127679}, MRREVIEWER = {Benjamin Braun}, DOI = {10.1016/j.jcta.2013.10.002}, opturl = {https://doi.org/10.1016/j.jcta.2013.10.002}, } @article {integral-flow, AUTHOR = {Kochol, Martin}, TITLE = {Polynomials associated with nowhere-zero flows}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {84}, YEAR = {2002}, NUMBER = {2}, PAGES = {260--269}, ISSN = {0095-8956}, MRCLASS = {05C70 (05A15 05C30)}, MRNUMBER = {1889258}, MRREVIEWER = {Cun-Quan Zhang}, DOI = {10.1006/jctb.2001.2081}, opturl = {https://doi.org/10.1006/jctb.2001.2081}, } @article {schmitt, AUTHOR = {Schmitt, William R.}, TITLE = {Incidence {H}opf algebras}, JOURNAL = {J. Pure Appl. Algebra}, FJOURNAL = {Journal of Pure and Applied Algebra}, VOLUME = {96}, YEAR = {1994}, NUMBER = {3}, PAGES = {299--330}, ISSN = {0022-4049}, MRCLASS = {16W30 (05B35 06A99)}, MRNUMBER = {1303288}, MRREVIEWER = {Joseph Neggers}, DOI = {10.1016/0022-4049(94)90105-8}, opturl = {https://doi.org/10.1016/0022-4049(94)90105-8}, } @article {beck-zaslavsky, AUTHOR = {Beck, Matthias and Zaslavsky, Thomas}, TITLE = {Inside-out polytopes}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {205}, YEAR = {2006}, NUMBER = {1}, PAGES = {134--162}, ISSN = {0001-8708}, MRCLASS = {52B20 (05A17 05B35 52C35)}, MRNUMBER = {2254310}, MRREVIEWER = {Mihai Cipu}, DOI = {10.1016/j.aim.2005.07.006}, opturl = {https://doi.org/10.1016/j.aim.2005.07.006}, } @article {beck-zaslavsky-2, AUTHOR = {Beck, Matthias and Zaslavsky, Thomas}, TITLE = {The number of nowhere-zero flows on graphs and signed graphs}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {96}, YEAR = {2006}, NUMBER = {6}, PAGES = {901--918}, ISSN = {0095-8956}, MRCLASS = {05C22 (05B35 05C30 52B20 52C35)}, MRNUMBER = {2274083}, MRREVIEWER = {Yaokun Wu}, DOI = {10.1016/j.jctb.2006.02.011}, opturl = {https://doi.org/10.1016/j.jctb.2006.02.011}, } @article {severs-white, AUTHOR = {Severs, Christopher and White, Jacob A.}, TITLE = {On the homology of the real complement of the {$k$}-parabolic subspace arrangement}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {119}, YEAR = {2012}, NUMBER = {6}, PAGES = {1336--1350}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05E45 (52C35)}, MRNUMBER = {2915650}, MRREVIEWER = {Colin Wilmott}, DOI = {10.1016/j.jcta.2012.03.008}, opturl = {http://dx.doi.org/10.1016/j.jcta.2012.03.008}, } @article {humpert, AUTHOR = {Humpert, Brandon}, TITLE = {A quasisymmetric function generalization of the chromatic symmetric function}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {18}, YEAR = {2011}, NUMBER = {1}, PAGES = {Paper 31, 13}, ISSN = {1077-8926}, MRCLASS = {05C31 (05C30 05E05)}, MRNUMBER = {2776807 (2012f:05143)}, MRREVIEWER = {Riccardo Biagioli}, } @article {breuer-dall-kubitzke, AUTHOR = {Breuer, Felix and Dall, Aaron and Kubitzke, Martina}, TITLE = {Hypergraph coloring complexes}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {312}, YEAR = {2012}, NUMBER = {16}, PAGES = {2407--2420}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05C15 (05C31 05C65 55P15)}, MRNUMBER = {2927154}, DOI = {10.1016/j.disc.2012.04.027}, opturl = {http://dx.doi.org/10.1016/j.disc.2012.04.027}, } @article {hultman, AUTHOR = {Hultman, Axel}, TITLE = {Link complexes of subspace arrangements}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {28}, YEAR = {2007}, NUMBER = {3}, PAGES = {781--790}, ISSN = {0195-6698}, MRCLASS = {52C35 (05C15 05E25)}, MRNUMBER = {2300759}, MRREVIEWER = {Jeremy L. Martin}, DOI = {10.1016/j.ejc.2005.12.006}, opturl = {http://dx.doi.org/10.1016/j.ejc.2005.12.006}, } @article {hersh-swartz, AUTHOR = {Hersh, Patricia and Swartz, Ed}, TITLE = {Coloring complexes and arrangements}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {27}, YEAR = {2008}, NUMBER = {2}, PAGES = {205--214}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {05C15 (52C35)}, MRNUMBER = {2375492}, MRREVIEWER = {Axel Hultman}, DOI = {10.1007/s10801-007-0086-z}, opturl = {http://dx.doi.org/10.1007/s10801-007-0086-z}, } @article {symplectic, AUTHOR = {Borovik, Alexandre V. and Gelfand, Israel and White, Neil}, TITLE = {Symplectic matroids}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {8}, YEAR = {1998}, NUMBER = {3}, PAGES = {235--252}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {05B35}, MRNUMBER = {1651247}, DOI = {10.1023/A:1008610715466}, opturl = {http://dx.doi.org/10.1023/A:1008610715466}, } @article {barcelo-ihrig, AUTHOR = {Barcelo, H{\'e}l{\`e}ne and Ihrig, Edwin}, TITLE = {Lattices of parabolic subgroups in connection with hyperplane arrangements}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {9}, YEAR = {1999}, NUMBER = {1}, PAGES = {5--24}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {52C35 (20F55)}, MRNUMBER = {1676736}, MRREVIEWER = {Hiroaki Terao}, DOI = {10.1023/A:1018607830027}, opturl = {http://dx.doi.org/10.1023/A:1018607830027}, } @article {gainer-dewar, AUTHOR = {Gainer-Dewar, Andrew}, TITLE = {Species with an equivariant group action}, JOURNAL = {Australas. J. Combin.}, FJOURNAL = {The Australasian Journal of Combinatorics}, VOLUME = {63}, YEAR = {2015}, PAGES = {202--225}, ISSN = {1034-4942}, MRCLASS = {05E18 (05A15 05C30)}, MRNUMBER = {3403375}, MRREVIEWER = {Ngoc Mai Tran}, } @article {henderson, AUTHOR = {Henderson, Anthony}, TITLE = {Species over a finite field}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {21}, YEAR = {2005}, NUMBER = {2}, PAGES = {147--161}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {05A15 (05E99)}, MRNUMBER = {2142405}, MRREVIEWER = {C{\'e}dric Lamathe}, DOI = {10.1007/s10801-005-6905-1}, opturl = {http://dx.doi.org/10.1007/s10801-005-6905-1}, } @article {stanley-reciprocity, AUTHOR = {Stanley, Richard P.}, TITLE = {Combinatorial reciprocity theorems}, JOURNAL = {Advances in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {14}, YEAR = {1974}, PAGES = {194--253}, ISSN = {0001-8708}, MRCLASS = {05A15 (10E05)}, MRNUMBER = {0411982}, MRREVIEWER = {G. L. Alexanderson}, } @article {chari, AUTHOR = {Chari, Manoj K.}, TITLE = {Two decompositions in topological combinatorics with applications to matroid complexes}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {349}, YEAR = {1997}, NUMBER = {10}, PAGES = {3925--3943}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {52B40 (06A07 06A08)}, MRNUMBER = {1422892}, MRREVIEWER = {Ilda P. F. da Silva}, DOI = {10.1090/S0002-9947-97-01921-1}, opturl = {http://dx.doi.org/10.1090/S0002-9947-97-01921-1}, } @article {stanley-relative-shellability, AUTHOR = {Stanley, Richard P.}, TITLE = {Flag-symmetric and locally rank-symmetric partially ordered sets}, NOTE = {The Foata Festschrift}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {3}, YEAR = {1996}, NUMBER = {2}, PAGES = {Research Paper 6, approx.\ 22 pp.\ (electronic)}, ISSN = {1077-8926}, MRCLASS = {06A07 (05E05)}, MRNUMBER = {1392491}, MRREVIEWER = {Joseph Neggers}, URL = {http://www.combinatorics.org/Volume_3/Abstracts/v3i2r6.html}, } @book {stanley-commutative-algebra, AUTHOR = {Stanley, Richard P.}, TITLE = {Combinatorics and commutative algebra}, SERIES = {Progress in Mathematics}, VOLUME = {41}, EDITION = {Second}, PUBLISHER = {Birkh\"auser Boston, Inc., Boston, MA}, YEAR = {1996}, PAGES = {x+164}, ISBN = {0-8176-3836-9}, MRCLASS = {05-02 (13F50)}, MRNUMBER = {1453579}, MRREVIEWER = {Volkmar Welker}, } @article {brenti, AUTHOR = {Brenti, Francesco}, TITLE = {Expansions of chromatic polynomials and log-concavity}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {332}, YEAR = {1992}, NUMBER = {2}, PAGES = {729--756}, ISSN = {0002-9947}, CODEN = {TAMTAM}, MRCLASS = {05C15}, MRNUMBER = {1069745}, DOI = {10.2307/2154193}, opturl = {http://dx.doi.org/10.2307/2154193}, } @article {birkhoff, AUTHOR = {Birkhoff, George D.}, TITLE = {A determinant formula for the number of ways of coloring a map}, JOURNAL = {Ann. of Math. (2)}, FJOURNAL = {Annals of Mathematics. Second Series}, VOLUME = {14}, YEAR = {1912/13}, NUMBER = {1-4}, PAGES = {42--46}, ISSN = {0003-486X}, CODEN = {ANMAAH}, MRCLASS = {Contributed Item}, MRNUMBER = {1502436}, DOI = {10.2307/1967597}, opturl = {http://dx.doi.org/10.2307/1967597}, } @article {myfavoritepaperever, AUTHOR = {Mohar, Bojan}, TITLE = {Circular colorings of edge-weighted graphs}, JOURNAL = {J. Graph Theory}, FJOURNAL = {Journal of Graph Theory}, VOLUME = {43}, YEAR = {2003}, NUMBER = {2}, PAGES = {107--116}, ISSN = {0364-9024}, MRCLASS = {05C15}, MRNUMBER = {1978116}, MRREVIEWER = {N. Z. Li}, DOI = {10.1002/jgt.10106}, opturl = {https://doi.org/10.1002/jgt.10106}, } @article {breuer-klivans, AUTHOR = {Breuer, Felix and Klivans, Caroline J.}, TITLE = {Scheduling problems}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {139}, YEAR = {2016}, PAGES = {59--79}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05E05 (06E30 52B20)}, MRNUMBER = {3436052}, DOI = {10.1016/j.jcta.2015.11.001}, opturl = {http://dx.doi.org/10.1016/j.jcta.2015.11.001}, } @article {steingrimsson, AUTHOR = {Steingr{\'i}msson, Einar}, TITLE = {The coloring ideal and coloring complex of a graph}, JOURNAL = {J. Algebraic Combin.}, FJOURNAL = {Journal of Algebraic Combinatorics. An International Journal}, VOLUME = {14}, YEAR = {2001}, NUMBER = {1}, PAGES = {73--84}, ISSN = {0925-9899}, CODEN = {JAOME7}, MRCLASS = {13F55 (05C15 55U10)}, MRNUMBER = {1856230}, MRREVIEWER = {Timothy Y. Chow}, DOI = {10.1023/A:1011222121664}, opturl = {http://dx.doi.org/10.1023/A:1011222121664}, } @article {whitney, AUTHOR = {Whitney, Hassler}, TITLE = {A logical expansion in mathematics}, JOURNAL = {Bull. Amer. Math. Soc.}, FJOURNAL = {Bulletin of the American Mathematical Society}, VOLUME = {38}, YEAR = {1932}, NUMBER = {8}, PAGES = {572--579}, ISSN = {0002-9904}, MRCLASS = {Contributed Item}, MRNUMBER = {1562461}, DOI = {10.1090/S0002-9904-1932-05460-X}, opturl = {http://dx.doi.org.lib-ezproxy.tamu.edu:2048/10.1090/S0002-9904-1932-05460-X}, } @article{aguiar-mahajan-2, AUTHOR = {Aguiar, Marcelo and Mahajan, Swapneel }, TITLE={Hopf monoids in the category of species}, JOURNAL={Contemporary Mathematics}, VOLUME={585}, PAGES = {17--124}, year={2013}, ISBN={978-0-8218-7564-3}, doi={http://dx.doi.org/10.1090/conm/585}, } @article{white-2, author = {Jacob White}, title = {Quasisymmetric functions from combinatorial Hopf monoids and Erhart Theory}, journal = {DMTCS Proceedings}, volume = {BC}, number = {01}, year = {2016}, keywords = {}, pages = {1215-1226}, url = {https://fpsac2016.sciencesconf.org/file/240298} } @article{white-1, author = {Jacob White}, title = {Coloring Rings in Species}, journal = {DMTCS Proceedings}, volume = {0}, number = {01}, year = {2014}, keywords = {}, issn = {1365-8050}, url = {http://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAT0160/4548} } @article {stanley-acyclic, AUTHOR = {Stanley, Richard P.}, TITLE = {Acyclic orientations of graphs}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {5}, YEAR = {1973}, PAGES = {171--178}, ISSN = {0012-365X}, MRCLASS = {05C20 (05C15 06A10)}, MRNUMBER = {0317988 (47 \#6537)}, MRREVIEWER = {R. C. Read}, } @article {stanley-coloring-2, AUTHOR = {Stanley, Richard P.}, TITLE = {Graph colorings and related symmetric functions: ideas and applications: a description of results, interesting applications, \& notable open problems}, NOTE = {Selected papers in honor of Adriano Garsia (Taormina, 1994)}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {193}, YEAR = {1998}, NUMBER = {1-3}, PAGES = {267--286}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05E05 (05C15 06A06)}, MRNUMBER = {1661374 (2000c:05152)}, MRREVIEWER = {Daniel Ashlock}, DOI = {10.1016/S0012-365X(98)00146-0}, opturl = {http://dx.doi.org/10.1016/S0012-365X(98)00146-0}, } @article {stanley-coloring-1, AUTHOR = {Stanley, Richard P.}, TITLE = {A symmetric function generalization of the chromatic polynomial of a graph}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {111}, YEAR = {1995}, NUMBER = {1}, PAGES = {166--194}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {05E05 (05C15)}, MRNUMBER = {1317387 (96b:05174)}, MRREVIEWER = {SeungKyung Park}, DOI = {10.1006/aima.1995.1020}, opturl = {http://dx.doi.org/10.1006/aima.1995.1020}, } @book {aguiar-mahajan-1, AUTHOR = {Aguiar, Marcelo and Mahajan, Swapneel}, TITLE = {Monoidal functors, species and {H}opf algebras}, SERIES = {CRM Monograph Series}, VOLUME = {29}, NOTE = {With forewords by Kenneth Brown and Stephen Chase and Andr{\'e} Joyal}, PUBLISHER = {American Mathematical Society}, ADDRESS = {Providence, RI}, YEAR = {2010}, PAGES = {lii+784}, ISBN = {978-0-8218-4776-3}, MRCLASS = {18D10 (05A30 16T30)}, MRNUMBER = {2724388 (2012g:18009)}, MRREVIEWER = {Volodymyr V. Lyubashenko}, } @article {joni-rota, AUTHOR = {Joni, S. A. and Rota, G.-C.}, TITLE = {Coalgebras and bialgebras in combinatorics}, JOURNAL = {Stud. Appl. Math.}, FJOURNAL = {Studies in Applied Mathematics}, VOLUME = {61}, YEAR = {1979}, NUMBER = {2}, PAGES = {93--139}, ISSN = {0022-2526}, CODEN = {SAPMB6}, MRCLASS = {05A10 (16A24)}, MRNUMBER = {544721 (81c:05002)}, MRREVIEWER = {R. W. Quackenbush}, } @article {humpert-martin, AUTHOR = {Humpert, Brandon and Martin, Jeremy L.}, TITLE = {The incidence {H}opf algebra of graphs}, JOURNAL = {SIAM J. Discrete Math.}, FJOURNAL = {SIAM Journal on Discrete Mathematics}, VOLUME = {26}, YEAR = {2012}, NUMBER = {2}, PAGES = {555--570}, ISSN = {0895-4801}, CODEN = {SJDMEC}, MRCLASS = {16T30 (05C31 05E15)}, MRNUMBER = {2967484}, DOI = {10.1137/110820075}, opturl = {http://dx.doi.org/10.1137/110820075}, } @book {bergeron-labelle-leroux, AUTHOR = {Bergeron, F. and Labelle, G. and Leroux, P.}, TITLE = {Combinatorial species and tree-like structures}, SERIES = {Encyclopedia of Mathematics and its Applications}, VOLUME = {67}, NOTE = {Translated from the 1994 French original by Margaret Readdy, With a foreword by Gian-Carlo Rota}, PUBLISHER = {Cambridge University Press}, ADDRESS = {Cambridge}, YEAR = {1998}, PAGES = {xx+457}, ISBN = {0-521-57323-8}, MRCLASS = {05A15 (05C30 05E05)}, MRNUMBER = {1629341 (2000a:05008)}, MRREVIEWER = {Ira Gessel}, } @article {joyal, AUTHOR = {Joyal, Andr{\'e}}, TITLE = {Une th\'eorie combinatoire des s\'eries formelles}, JOURNAL = {Adv. in Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {42}, YEAR = {1981}, NUMBER = {1}, PAGES = {1--82}, ISSN = {0001-8708}, CODEN = {ADMTA4}, MRCLASS = {05A99 (18B99 26B10)}, MRNUMBER = {633783 (84d:05025)}, DOI = {10.1016/0001-8708(81)90052-9}, opturl = {http://dx.doi.org/10.1016/0001-8708(81)90052-9}, } @book {montgomery, AUTHOR = {Montgomery, Susan}, TITLE = {Hopf algebras and their actions on rings}, SERIES = {CBMS Regional Conference Series in Mathematics}, VOLUME = {82}, PUBLISHER = {Published for the Conference Board of the Mathematical Sciences, Washington, DC}, YEAR = {1993}, PAGES = {xiv+238}, ISBN = {0-8218-0738-2}, MRCLASS = {16W30}, MRNUMBER = {1243637 (94i:16019)}, MRREVIEWER = {E. J. Taft}, } @article {zaslavsky, AUTHOR = {Zaslavsky, Thomas}, TITLE = {Chromatic invariants of signed graphs}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {42}, YEAR = {1982}, NUMBER = {2-3}, PAGES = {287--312}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05C15 (05C20 05C25)}, MRNUMBER = {677061}, MRREVIEWER = {Paul A. Catlin}, DOI = {10.1016/0012-365X(82)90225-4}, opturl = {http://dx.doi.org/10.1016/0012-365X(82)90225-4}, } @article {petersen, AUTHOR = {Petersen, T. Kyle}, TITLE = {A note on three types of quasisymmetric functions}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {12}, YEAR = {2005}, PAGES = {Research Paper 61, 10 pp. (electronic)}, ISSN = {1077-8926}, MRCLASS = {05E05}, MRNUMBER = {2180798}, MRREVIEWER = {Christophe Hohlweg}, URL = {http://www.combinatorics.org/Volume_12/Abstracts/v12i1r61.html}, } @incollection {gessel, AUTHOR = {Gessel, Ira M.}, TITLE = {Multipartite {$P$}-partitions and inner products of skew {S}chur functions}, BOOKTITLE = {Combinatorics and algebra ({B}oulder, {C}olo., 1983)}, SERIES = {Contemp. Math.}, VOLUME = {34}, PAGES = {289--317}, PUBLISHER = {Amer. Math. Soc., Providence, RI}, YEAR = {1984}, MRCLASS = {05A17 (20C30)}, MRNUMBER = {777705}, MRREVIEWER = {J. D{\'e}sarm{\'e}nien}, DOI = {10.1090/conm/034/777705}, opturl = {http://dx.doi.org/10.1090/conm/034/777705}, } @article {balanced-kruskal, AUTHOR = {Frankl, Peter and F\"{u}redi, Zolt\'{a}n and Kalai, Gil}, TITLE = {Shadows of colored complexes}, JOURNAL = {Math. Scand.}, FJOURNAL = {Mathematica Scandinavica}, VOLUME = {63}, YEAR = {1988}, NUMBER = {2}, PAGES = {169--178}, ISSN = {0025-5521}, MRCLASS = {05A05 (06A07 52A40 55U99)}, MRNUMBER = {1018807}, MRREVIEWER = {J. R. Griggs}, DOI = {10.7146/math.scand.a-12231}, opturl = {https://doi.org/10.7146/math.scand.a-12231}, } @article {aguiar-sottile, AUTHOR = {Aguiar, Marcelo and Sottile, Frank}, TITLE = {Structure of the {L}oday-{R}onco {H}opf algebra of trees}, JOURNAL = {J. Algebra}, FJOURNAL = {Journal of Algebra}, VOLUME = {295}, YEAR = {2006}, NUMBER = {2}, PAGES = {473--511}, ISSN = {0021-8693}, MRCLASS = {16W30 (05E05 06A07)}, MRNUMBER = {2194965}, MRREVIEWER = {Ralf Holtkamp}, DOI = {10.1016/j.jalgebra.2005.06.021}, opturl = {https://doi.org/10.1016/j.jalgebra.2005.06.021}, } @article {katona, AUTHOR = {Katona, G.}, TITLE = {A theorem of finite sets}, BOOKTITLE = {Theory of graphs ({P}roc. {C}olloq., {T}ihany, 1966)}, PAGES = {187--207}, PUBLISHER = {Academic Press, New York}, YEAR = {1968}, MRCLASS = {05A05}, MRNUMBER = {0290982}, MRREVIEWER = {P. Erdos}, } @article {kozlov, AUTHOR = {Kozlov, Dmitry N.}, TITLE = {General lexicographic shellability and orbit arrangements}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {1}, YEAR = {1997}, NUMBER = {1}, PAGES = {67--90}, ISSN = {0218-0006}, MRCLASS = {52B30 (06A08)}, MRNUMBER = {1474801}, MRREVIEWER = {Volkmar Welker}, DOI = {10.1007/BF02558464}, opturl = {https://doi.org/10.1007/BF02558464}, } @article {adiprasito-sanyal, AUTHOR = {Adiprasito, Karim A. and Sanyal, Raman}, TITLE = {Relative {S}tanley-{R}eisner theory and upper bound theorems for {M}inkowski sums}, JOURNAL = {Publ. Math. Inst. Hautes \'{E}tudes Sci.}, FJOURNAL = {Publications Math\'{e}matiques. Institut de Hautes \'{E}tudes Scientifiques}, VOLUME = {124}, YEAR = {2016}, PAGES = {99--163}, ISSN = {0073-8301}, MRCLASS = {52B05 (13F55)}, MRNUMBER = {3578915}, MRREVIEWER = {Satoshi Murai}, DOI = {10.1007/s10240-016-0083-7}, opturl = {https://doi.org/10.1007/s10240-016-0083-7}, } @article {machacek-et-al, AUTHOR = {Benedetti, Carolina and Bergeron, Nantel and Machacek, John}, TITLE = {Hypergraphic polytopes: combinatorial properties and antipode}, JOURNAL = {S\'{e}m. Lothar. Combin.}, FJOURNAL = {S\'{e}minaire Lotharingien de Combinatoire}, VOLUME = {80B}, YEAR = {2018}, PAGES = {Art. 70, 12}, ISSN = {1286-4889}, MRCLASS = {05E15 (05C65 52B05 52B12)}, MRNUMBER = {3940645}, } @incollection {kruskal, AUTHOR = {Kruskal, Joseph B.}, TITLE = {The number of simplices in a complex}, BOOKTITLE = {Mathematical optimization techniques}, PAGES = {251--278}, PUBLISHER = {Univ. of California Press, Berkeley, Calif.}, YEAR = {1963}, MRCLASS = {05.10}, MRNUMBER = {0154827}, MRREVIEWER = {J. Riordan}, } @misc{chow, AUTHOR = {Chow, C.O}, Title = { Noncommutative symmetric functions of type B}, NOTE = {Phd Thesis, MIT, 2001}, } @misc{sanyal, AUTHOR = {Codenotti, Giulia and Katthan, Lukas and Sanyal, Raman}, Title = { On f- and h- vectors of relative simplicial complexes }, NOTE = {To appear in Algebraic Combinatorics}, eprint={1711.02729}, } @misc{aguiar-ardila, AUTHOR = {Aguiar, Marcelo and Ardila, Federico}, Title = { Hopf monoids and generalized permutahedra}, eprint={1709.07504}, } @article {cameron, AUTHOR = {Cameron, Peter J. and Kayibi, K. K.}, TITLE = {Orbital chromatic and flow roots}, JOURNAL = {Combin. Probab. Comput.}, FJOURNAL = {Combinatorics, Probability and Computing}, VOLUME = {16}, YEAR = {2007}, NUMBER = {3}, PAGES = {401--407}, ISSN = {0963-5483}, MRCLASS = {05C15 (05C25)}, MRNUMBER = {2312434}, MRREVIEWER = {Raffaele Scapellato}, DOI = {10.1017/S0963548306008200}, opturl = {http://dx.doi.org/10.1017/S0963548306008200}, } @article {hanlon, AUTHOR = {Hanlon, P.}, TITLE = {The chromatic polynomial of an unlabeled graph}, JOURNAL = {J. Combin. Theory Ser. B}, FJOURNAL = {Journal of Combinatorial Theory. Series B}, VOLUME = {38}, YEAR = {1985}, NUMBER = {3}, PAGES = {226--239}, ISSN = {0095-8956}, CODEN = {JCBTB8}, MRCLASS = {05C25 (05C15)}, MRNUMBER = {796600}, MRREVIEWER = {Larry Basen{\v{s}}piler}, DOI = {10.1016/0095-8956(85)90068-1}, opturl = {http://dx.doi.org/10.1016/0095-8956(85)90068-1}, } @article {bergeron-choquette, AUTHOR = {Bergeron, N. and Choquette, P.}, TITLE = {Hyperoctahedral species}, JOURNAL = {S\'em. Lothar. Combin.}, FJOURNAL = {S\'eminaire Lotharingien de Combinatoire}, VOLUME = {61A}, YEAR = {2009/11}, PAGES = {Art. B61Aj, 22}, ISSN = {1286-4889}, MRCLASS = {05E18}, MRNUMBER = {2734182}, } @incollection {sagan-survey, AUTHOR = {Sagan, Bruce E.}, TITLE = {The cyclic sieving phenomenon: a survey}, BOOKTITLE = {Surveys in combinatorics 2011}, SERIES = {London Math. Soc. Lecture Note Ser.}, VOLUME = {392}, PAGES = {183--233}, PUBLISHER = {Cambridge Univ. Press, Cambridge}, YEAR = {2011}, MRCLASS = {05-02 (05A05 05E10 05E15)}, MRNUMBER = {2866734}, MRREVIEWER = {T. Kyle Petersen}, } @article {billera-jia-reiner, AUTHOR = {Billera, Louis J. and Jia, Ning and Reiner, Victor}, TITLE = {A quasisymmetric function for matroids}, JOURNAL = {European J. Combin.}, FJOURNAL = {European Journal of Combinatorics}, VOLUME = {30}, YEAR = {2009}, NUMBER = {8}, PAGES = {1727--1757}, ISSN = {0195-6698}, MRCLASS = {05B35 (05E05 16T30)}, MRNUMBER = {2552658}, MRREVIEWER = {Talmage J. Reid}, DOI = {10.1016/j.ejc.2008.12.007}, opturl = {http://dx.doi.org/10.1016/j.ejc.2008.12.007}, } @article {reiner-stanton-white, AUTHOR = {Reiner, V. and Stanton, D. and White, D.}, TITLE = {The cyclic sieving phenomenon}, JOURNAL = {J. Combin. Theory Ser. A}, FJOURNAL = {Journal of Combinatorial Theory. Series A}, VOLUME = {108}, YEAR = {2004}, NUMBER = {1}, PAGES = {17--50}, ISSN = {0097-3165}, CODEN = {JCBTA7}, MRCLASS = {05A15 (05A30 05E99 20B05 20F55)}, MRNUMBER = {2087303}, MRREVIEWER = {Timothy Y. Chow}, DOI = {10.1016/j.jcta.2004.04.009}, opturl = {http://dx.doi.org/10.1016/j.jcta.2004.04.009}, } @article {labelle, AUTHOR = {Labelle, Gilbert}, TITLE = {On asymmetric structures}, JOURNAL = {Discrete Math.}, FJOURNAL = {Discrete Mathematics}, VOLUME = {99}, YEAR = {1992}, NUMBER = {1-3}, PAGES = {141--164}, ISSN = {0012-365X}, CODEN = {DSMHA4}, MRCLASS = {05A15 (05E99)}, MRNUMBER = {1158786}, MRREVIEWER = {Sergey V. Fomin}, DOI = {10.1016/0012-365X(92)90371-L}, opturl = {http://dx.doi.org/10.1016/0012-365X(92)90371-L}, } @article {gainer-dewar-2, AUTHOR = {Gainer-Dewar, Andrew}, TITLE = {{$\Gamma$}-species and the enumeration of {$k$}-trees}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {19}, YEAR = {2012}, NUMBER = {4}, PAGES = {Paper 45, 33}, ISSN = {1077-8926}, MRCLASS = {05C30 (05E18)}, MRNUMBER = {3007180}, } @article {polya, AUTHOR = {P{\'o}lya, G.}, TITLE = {Kombinatorische {A}nzahlbestimmungen f\"ur {G}ruppen, {G}raphen und chemische {V}erbindungen}, JOURNAL = {Acta Math.}, FJOURNAL = {Acta Mathematica}, VOLUME = {68}, YEAR = {1937}, NUMBER = {1}, PAGES = {145--254}, ISSN = {0001-5962}, CODEN = {ACMAA8}, MRCLASS = {Contributed Item}, MRNUMBER = {1577579}, DOI = {10.1007/BF02546665}, opturl = {http://dx.doi.org/10.1007/BF02546665}, } @article {fomin-reading, AUTHOR = {Fomin, Sergey and Reading, Nathan}, TITLE = {Generalized cluster complexes and {C}oxeter combinatorics}, JOURNAL = {Int. Math. Res. Not.}, FJOURNAL = {International Mathematics Research Notices}, YEAR = {2005}, NUMBER = {44}, PAGES = {2709--2757}, ISSN = {1073-7928}, MRCLASS = {05E15}, MRNUMBER = {2181310}, MRREVIEWER = {Axel Hultman}, DOI = {10.1155/IMRN.2005.2709}, opturl = {http://dx.doi.org/10.1155/IMRN.2005.2709}, } @article {armstrong, AUTHOR = {Armstrong, Drew}, TITLE = {Generalized noncrossing partitions and combinatorics of {C}oxeter groups}, JOURNAL = {Mem. Amer. Math. Soc.}, FJOURNAL = {Memoirs of the American Mathematical Society}, VOLUME = {202}, YEAR = {2009}, NUMBER = {949}, PAGES = {x+159}, ISSN = {0065-9266}, CODEN = {MAMCAU}, ISBN = {978-0-8218-4490-8}, MRCLASS = {05-02 (05A17 05E15 05E18 06A06 20F55)}, MRNUMBER = {2561274}, DOI = {10.1090/S0065-9266-09-00565-1}, opturl = {http://dx.doi.org/10.1090/S0065-9266-09-00565-1}, } @book {stanley-thesis, AUTHOR = {Stanley, Richard P.}, TITLE = {Ordered structures and partitions}, NOTE = {Memoirs of the American Mathematical Society, No. 119}, PUBLISHER = {American Mathematical Society, Providence, R.I.}, YEAR = {1972}, PAGES = {iii+104}, MRCLASS = {05A17}, MRNUMBER = {0332509}, MRREVIEWER = {L. K. Durst}, } @article {jochemko, AUTHOR = {Jochemko, Katharina}, TITLE = {Order polynomials and {P}\'olya's enumeration theorem}, JOURNAL = {Electron. J. Combin.}, FJOURNAL = {Electronic Journal of Combinatorics}, VOLUME = {21}, YEAR = {2014}, NUMBER = {2}, PAGES = {Paper 2.52, 11}, ISSN = {1077-8926}, MRCLASS = {06A07 (05A19 05C15 05C31 05E18)}, MRNUMBER = {3244818}, MRREVIEWER = {Philippe Nadeau}, } @article {aguiar-bergeron-sottile, AUTHOR = {Aguiar, Marcelo and Bergeron, Nantel and Sottile, Frank}, TITLE = {Combinatorial {H}opf algebras and generalized {D}ehn-{S}ommerville relations}, JOURNAL = {Compos. Math.}, FJOURNAL = {Compositio Mathematica}, VOLUME = {142}, YEAR = {2006}, NUMBER = {1}, PAGES = {1--30}, ISSN = {0010-437X}, MRCLASS = {05E05 (05A15 16W30)}, MRNUMBER = {2196760 (2006h:05233)}, MRREVIEWER = {T. Kyle Petersen}, DOI = {10.1112/S0010437X0500165X}, opturl = {http://dx.doi.org/10.1112/S0010437X0500165X}, } @Article{Weber2001, author="Weber, Keith", title="Student difficulty in constructing proofs: The need for strategic knowledge", journal="Educational Studies in Mathematics", year="2001", month="Oct", day="01", volume="48", number="1", pages="101--119", issn="1573-0816", doi="10.1023/A:1015535614355", opturl="https://doi.org/10.1023/A:1015535614355" } @article{selden-selden-1, ISSN = {00218251, 19452306}, URL = {http://www.jstor.org/stable/30034698}, author = {Annie Selden and John Selden}, journal = {Journal for Research in Mathematics Education}, number = {1}, pages = {4--36}, publisher = {National Council of Teachers of Mathematics}, title = {Validations of Proofs Considered as Texts: Can Undergraduates Tell Whether an Argument Proves a Theorem?}, volume = {34}, year = {2003} } @Article{Moore2016, author="Moore, Robert C.", title="Mathematics Professors' Evaluation of Students' Proofs: A Complex Teaching Practice", journal="International Journal of Research in Undergraduate Mathematics Education", year="2016", month="Jul", day="01", volume="2", number="2", pages="246--278", doi="10.1007/s40753-016-0029-y", opturl="https://doi.org/10.1007/s40753-016-0029-y" }