%% This BibTeX bibliography file was created using BibDesk. %% http://bibdesk.sourceforge.net/ %% Created for Nick Beaton at 2019-05-14 15:07:41 +0300 %% Saved with string encoding Unicode (UTF-8) @misc{BBY, Author = {Backman, S. and Baker, M. and Yuen, C.H.}, Eprint = {1701.01051}, Eprinttype = {arxiv}, Title = {Geometric {B}ijections for {R}egular {M}atroids, {Z}onotopes, and {E}hrhart {T}heory}, Year = {2017}} @article{Bac_PO, Author = {Backman, S.}, Date-Modified = {2019-05-14 15:00:23 +0300}, Doi = {10.1016/j.aam.2017.05.003}, Fjournal = {Advances in Applied Mathematics}, Journal = {Adv. in Appl. Math.}, Pages = {103--119}, Title = {Partial graph orientations and the Tutte polynomial}, Volume = {94}, Year = {2018}, Bdsk-Url-1 = {https://doi.org/10.1016/j.aam.2017.05.003}} @article{GLV_Activity, Author = {Gioan, E. and Las Vergnas, M.}, Date-Modified = {2019-05-14 15:02:03 +0300}, Doi = {10.1016/j.disc.2005.04.010}, Fjournal = {Discrete Mathematics}, Journal = {Discrete Math.}, Mrreviewer = {Gary Gordon}, Number = {1-3}, Pages = {169--188}, Title = {Activity preserving bijections between spanning trees and orientations in graphs}, Volume = {298}, Year = {2005}, Bdsk-Url-1 = {https://doi.org/10.1016/j.disc.2005.04.010}} @misc{GLV_AB2a, Author = {Gioan, E. and Las Vergnas, M.}, Date-Modified = {2019-05-14 15:02:26 +0300}, Eprint = {1807.06516}, Eprinttype = {arxiv}, Title = {The Active Bijection 2.a - Decomposition of activities for matroid bases, and Tutte polynomial of a matroid in terms of beta invariants of minors}, Year = {2018}} @misc{GLV_AB2b, Author = {Gioan, E. and Las Vergnas, M.}, Date-Modified = {2019-05-14 15:03:47 +0300}, Eprint = {1807.06578 }, Eprinttype = {arxiv}, Title = {The Active Bijection 2.b - Decomposition of activities for oriented matroids, and general definitions of the active bijection}, Year = {2018}} @incollection{LV_Activity, Author = {Las Vergnas, M.}, Booktitle = {Progress in {G}raph {T}heory ({W}aterloo, {O}nt., 1982)}, Pages = {367--380}, Publisher = {Academic Press, Toronto, ON}, Title = {The {T}utte {P}olynomial of a {M}orphism of {M}atroids. {II}. {A}ctivities of {O}rientations}, Year = {1984}} @article{GZ_HPZono, Author = {Greene, C. and Zaslavsky, T.}, Date-Modified = {2019-05-14 15:04:32 +0300}, Doi = {10.2307/1999604}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrreviewer = {P. McMullen}, Number = {1}, Pages = {97--126}, Title = {On the interpretation of Whitney numbers through arrangements of hyperplanes, zonotopes, non-Radon partitions, and orientations of graphs}, Volume = {280}, Year = {1983}, Bdsk-Url-1 = {https://doi.org/10.2307/1999604}} @article{LV_ATCO, Author = {Las Vergnas, M.}, Date-Modified = {2019-05-14 15:05:29 +0300}, Doi = {10.1016/0012-365X(77)90042-5}, Fjournal = {Discrete Mathematics}, Journal = {Discrete Math.}, Mrreviewer = {John H. Mason}, Number = {1}, Pages = {51--61}, Title = {Acyclic and totally cyclic orientations of combinatorial geometries}, Volume = {20}, Year = {1977}, Bdsk-Url-1 = {https://doi.org/10.1016/0012-365X(77)90042-5}} @misc{Bohne_thesis, Author = {Bohne, J.}, Note = {Ph.D. thesis, Universit\"{a}t Bielefeld.}, Title = {Eine kombinatorische {A}nalyse zonotopaler {R}aumaufteilungen}, Year = {1992}} @incollection{RZ_BD_thm, Author = {Richter-Gebert, J. and Ziegler, G.M.}, Booktitle = {Jerusalem {C}ombinatorics '93}, Date-Modified = {2019-05-14 15:06:27 +0300}, Doi = {10.1090/conm/178/01902}, Mrreviewer = {Ren Ding}, Number = {178}, Pages = {211--232}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {Contemp. Math.}, Title = {Zonotopal tilings and the Bohne-Dress theorem}, Year = {1994}, Bdsk-Url-1 = {https://doi.org/10.1090/conm/178/01902}} @article{FL_TRT, Author = {Folkman, J. and Lawrence, J.}, Date-Modified = {2019-05-14 15:01:33 +0300}, Doi = {10.1016/0095-8956(78)90039-4}, Fjournal = {Journal of Combinatorial Theory. Series B}, Journal = {J. Combin. Theory Ser. B}, Number = {2}, Pages = {199--236}, Title = {Oriented matroids}, Volume = {25}, Year = {1978}, Bdsk-Url-1 = {https://doi.org/10.1016/0095-8956(78)90039-4}} @book{BLSWZ_book, Author = {Bj\"orner, A. and Las Vergnas, M. and Sturmfels, B. and White, N. and Ziegler, G.M.}, Date-Modified = {2019-05-14 15:00:48 +0300}, Doi = {10.1017/CBO9780511586507}, Edition = {2}, Number = {46}, Publisher = {Cambridge University Press, Cambridge}, Series = {Encyclopedia of Mathematics and its Applications}, Title = {Oriented {M}atroids}, Year = {1999}, Bdsk-Url-1 = {https://doi.org/10.1017/CBO9780511586507}} @article{Santos_book, Author = {Santos, F.}, Date-Modified = {2019-05-14 15:07:12 +0300}, Doi = {10.1090/memo/0741}, Fjournal = {Memoirs of the American Mathematical Society}, Journal = {Mem. Amer. Math. Soc.}, Mrreviewer = {Laura M. Anderson}, Number = {741}, Title = {Triangulations of oriented matroids}, Volume = {156}, Year = {2002}, Bdsk-Url-1 = {https://doi.org/10.1090/memo/0741}}