% This is an example bibliography file for FPSAC submissions. @article {BCMS:cil, AUTHOR = {Bennett, Curtis and Carrillo, Juan and Machacek, John and Sagan, Bruce E.}, TITLE = {Combinatorial interpretations of {L}ucas analogues of binomial coefficients and {C}atalan numbers}, JOURNAL = {Ann. Comb.}, FJOURNAL = {Annals of Combinatorics}, VOLUME = {24}, YEAR = {2020}, NUMBER = {3}, PAGES = {503--530}, MRCLASS = {05A10 (05A15 05A19 11B39)}, MRNUMBER = {4151627}, DOI = {10.1007/s00026-020-00500-9}, URL = {https://doi.org/10.1007/s00026-020-00500-9}, } @incollection {bra:ulc, AUTHOR = {Br\"and\'en, Petter}, TITLE = {Unimodality, log-concavity, real-rootedness and beyond}, BOOKTITLE = {Handbook of enumerative combinatorics}, SERIES = {Discrete Math. Appl. (Boca Raton)}, PAGES = {437--483}, PUBLISHER = {CRC Press, {Boca Raton, FL}}, YEAR = {2015}, MRCLASS = {05Axx (05D40 05E10)}, MRNUMBER = {3409348}, } @incollection {bre:lcu, AUTHOR = {Brenti, Francesco}, TITLE = {Log-concave and unimodal sequences in algebra, combinatorics, and geometry: an update}, BOOKTITLE = {Jerusalem combinatorics '93}, SERIES = {Contemp. Math.}, VOLUME = {178}, PAGES = {71--89}, PUBLISHER = {Amer. Math. Soc., {Providence, RI}}, YEAR = {1994}, MRCLASS = {05A20 (05-02)}, MRNUMBER = {1310575}, MRREVIEWER = {Christian\ Krattenthaler}, DOI = {10.1090/conm/178/01893}, URL = {https://doi.org/10.1090/conm/178/01893}, } @article {CPP:epi, AUTHOR = {Chan, Swee Hong and Pak, Igor and Panova, Greta}, TITLE = {Effective poset inequalities}, JOURNAL = {SIAM J. Discrete Math.}, FJOURNAL = {SIAM Journal on Discrete Mathematics}, VOLUME = {37}, YEAR = {2023}, NUMBER = {3}, PAGES = {1842--1880}, MRCLASS = {05A20 (05A30 05E16 68R05)}, MRNUMBER = {4631443}, MRREVIEWER = {David\ J.\ Grabiner}, DOI = {10.1137/22M1532317}, } @article {FP:llp, AUTHOR = {Ferrari, Luca and Pinzani, Renzo}, TITLE = {Lattices of lattice paths}, JOURNAL = {J. Statist. Plann. Inference}, FJOURNAL = {Journal of Statistical Planning and Inference}, VOLUME = {135}, YEAR = {2005}, NUMBER = {1}, PAGES = {77--92}, MRCLASS = {06A06 (05A15 06B05 68R05)}, MRNUMBER = {2202340}, MRREVIEWER = {I.\ Gy.\ Maurer}, DOI = {10.1016/j.jspi.2005.02.007}, } @article {FKG:cip, AUTHOR = {Fortuin, C. M. and Kasteleyn, P. W. and Ginibre, J.}, TITLE = {Correlation inequalities on some partially ordered sets}, JOURNAL = {Comm. Math. Phys.}, FJOURNAL = {Communications in Mathematical Physics}, VOLUME = {22}, YEAR = {1971}, PAGES = {89--103}, MRCLASS = {82.62}, MRNUMBER = {309498}, MRREVIEWER = {C. A. Hurst}, } @article {luc:tfn3, AUTHOR = {Lucas, Edouard}, TITLE = {Theorie des {F}onctions {N}umeriques {S}implement {P}eriodiques}, JOURNAL = {Amer. J. Math.}, FJOURNAL = {American Journal of Mathematics}, VOLUME = {1}, YEAR = {1878}, NUMBER = {4}, PAGES = {289--321}, MRCLASS = {99-04}, MRNUMBER = {1505176}, DOI = {10.2307/2369373}, } @article {sag:lcs, AUTHOR = {Sagan, Bruce E.}, TITLE = {Log concave sequences of symmetric functions and analogs of the {J}acobi-{T}rudi determinants}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {329}, YEAR = {1992}, NUMBER = {2}, PAGES = {795--811}, MRCLASS = {05E10 (05A20 05A30 11B65)}, MRNUMBER = {1066448}, MRREVIEWER = {Christian\ Krattenthaler}, DOI = {10.2307/2153964}, URL = {https://doi.org/10.2307/2153964}, } @book {sag:sg, AUTHOR = {Sagan, Bruce E.}, TITLE = {The symmetric group}, SERIES = {Graduate Texts in Mathematics}, VOLUME = {203}, EDITION = {Second}, NOTE = {Representations, combinatorial algorithms, and symmetric functions}, PUBLISHER = {Springer-Verlag, New York}, YEAR = {2001}, PAGES = {xvi+238 pp.}, MRCLASS = {05E10 (05E05 20C30)}, MRNUMBER = {1824028}, DOI = {10.1007/978-1-4757-6804-6}, URL = {https://doi.org/10.1007/978-1-4757-6804-6}, } @book {sag:aoc, AUTHOR = {Sagan, Bruce E.}, TITLE = {Combinatorics: the art of counting}, SERIES = {Graduate Studies in Mathematics}, VOLUME = {210}, PUBLISHER = {American Mathematical Society, {Providence, RI}}, YEAR = {[2020] \copyright2020}, PAGES = {xix+304 pp.}, MRCLASS = {05-01 (05Axx 05Exx 06-01)}, MRNUMBER = {4249619}, MRREVIEWER = {Ulrich\ Tamm}, DOI = {10.1090/gsm/210}, } @article {ST:la, AUTHOR = {Sagan, Bruce E. and Tirrell, Jordan}, TITLE = {Lucas atoms}, JOURNAL = {Adv. Math.}, FJOURNAL = {Advances in Mathematics}, VOLUME = {374}, YEAR = {2020}, PAGES = {107387, 25 pp.}, MRCLASS = {11B39 (05A10 11B65 11C08 11R09)}, MRNUMBER = {4157587}, MRREVIEWER = {Mark\ Bollman}, DOI = {10.1016/j.aim.2020.107387}, } @book {sta:osp, AUTHOR = {Stanley, Richard Peter}, TITLE = {O{RDERED} {STRUCTURES} {AND} {PARTITIONS}}, NOTE = {Thesis (Ph.D.)--Harvard University}, PUBLISHER = {ProQuest LLC, {Ann Arbor, MI}}, YEAR = {1971}, PAGES = {(no paging)}, MRCLASS = {99-05}, MRNUMBER = {2940070}, } @incollection {sta:lcu, AUTHOR = {Stanley, Richard P.}, TITLE = {Log-concave and unimodal sequences in algebra, combinatorics, and geometry}, BOOKTITLE = {Graph theory and its applications: {E}ast and {W}est ({J}inan, 1986)}, SERIES = {Ann. New York Acad. Sci.}, VOLUME = {576}, PAGES = {500--535}, PUBLISHER = {New York Acad. Sci., New York}, YEAR = {1989}, MRCLASS = {05E15 (05E10 20C15 52B20)}, MRNUMBER = {1110850}, MRREVIEWER = {L.\ Bruce\ Richmond}, DOI = {10.1111/j.1749-6632.1989.tb16434.x}, } @book {sta:ec1, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}olume 1}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {49}, EDITION = {Second}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {2012}, PAGES = {xiv+626 pp.}, MRCLASS = {05-02 (05A15 06-02)}, MRNUMBER = {2868112}, } @book {sta:ec2, AUTHOR = {Stanley, Richard P.}, TITLE = {Enumerative combinatorics. {V}ol. 2}, SERIES = {Cambridge Studies in Advanced Mathematics}, VOLUME = {208}, EDITION = {Second}, NOTE = {With an appendix by Sergey Fomin}, PUBLISHER = {Cambridge University Press, Cambridge}, YEAR = {[2024] \copyright2024}, PAGES = {xvi+783}, MRCLASS = {05-02 (05A15 05E05 05E10)}, MRNUMBER = {4621625}, ANNOTE = {For {V}olume {I} see [2868112\endremfr]}, } @article {ste:epp, AUTHOR = {Stembridge, John R.}, TITLE = {Enriched {$P$}-partitions}, JOURNAL = {Trans. Amer. Math. Soc.}, FJOURNAL = {Transactions of the American Mathematical Society}, VOLUME = {349}, YEAR = {1997}, NUMBER = {2}, PAGES = {763--788}, MRCLASS = {06A07 (05E05 05E10)}, MRNUMBER = {1389788}, MRREVIEWER = {Joseph\ Neggers}, DOI = {10.1090/S0002-9947-97-01804-7}, } @misc{LCLC, AUTHOR = {Jinting Liang and Bruce E. Sagan}, EPRINT = {2408.02782}, EPRINTTYPE = {arxiv}, TITLE = {Log-concavity and log-convexity via distributive lattices}, YEAR = {2024}} @article{BFT:bwb, AUTHOR = {Bouvel, Mathilde and Ferrari, Luca and Tenner, Bridget Eileen}, TITLE = {Between weak and {B}ruhat: the middle order on permutations}, JOURNAL = {Graphs Combin.}, FJOURNAL = {Graphs and Combinatorics}, VOLUME = {41}, YEAR = {2025}, NUMBER = {2}, PAGES = {Paper No. 34, 25 pp.}, DOI = {10.1007/s00373-024-02885-3}, } @book {mac:ca, AUTHOR = {MacMahon, Percy A.}, TITLE = {Combinatory analysis. {V}ol. {I}, {II} (bound in one volume)}, SERIES = {Dover Phoenix Editions}, NOTE = {Reprint of {\it An introduction to combinatory analysis} (1920) and {\it Combinatory analysis. Vol. I, II} (1915, 1916)}, YEAR = {2004}, PAGES = {ii+761 pp.}, MRCLASS = {05-02 (01A75)}, MRNUMBER = {2417935}, } @article {BBS:pgp, AUTHOR = {Billey, Sara and Burdzy, Krzysztof and Sagan, Bruce E.}, TITLE = {Permutations with given peak set}, JOURNAL = {J. Integer Seq.}, FJOURNAL = {Journal of Integer Sequences}, VOLUME = {16}, YEAR = {2013}, NUMBER = {6}, PAGES = {Article 13.6.1, 18 pp.}, MRCLASS = {05A05 (05A10 05A15)}, MRNUMBER = {3083179}, MRREVIEWER = {Svetlana\ Poznanovi\'c}, } @article {SW:cplc, AUTHOR = {Sun, Hua and Wang, Yi}, TITLE = {A combinatorial proof of the log-convexity of {C}atalan-like numbers}, JOURNAL = {J. Integer Seq.}, FJOURNAL = {Journal of Integer Sequences}, VOLUME = {17}, YEAR = {2014}, NUMBER = {5}, PAGES = {Article 14.5.2, 8 pp.}, MRCLASS = {05A19 (05A20)}, MRNUMBER = {3192752}, MRREVIEWER = {Aklilu\ Zeleke}, }