%% This BibTeX bibliography file was created using BibDesk. %% https://bibdesk.sourceforge.io/ %% Created for Spencer Backman at 2019-01-17 18:18:43 +0200 %% Saved with string encoding Unicode (UTF-8) @article{birkett2000cayley, Author = {Huber, B. and Rambau, J. and Santos, F.}, Date-Added = {2019-01-17 17:57:45 +0200}, Date-Modified = {2019-01-17 18:17:17 +0200}, URL = {https://doi.org/10.1007/s100970050003}, Fjournal = {Journal of the European Mathematical Society}, Journal = {J. Eur. Math. Soc.}, Mrclass = {52B11 (05B45 52B20)}, Mrnumber = {1763304}, Number = {2}, Pages = {179--198}, Title = {The {C}ayley trick, lifting subdivisions and the {B}ohne-{D}ress theorem on zonotopal tilings}, Volume = {2}, Year = {2000}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1763304}} @unpublished{dress1989oriented, Author = {Dress, A.W.M.}, Date-Added = {2019-01-17 17:55:52 +0200}, Date-Modified = {2019-01-17 17:57:04 +0200}, Month = {August}, Note = {Lecture at the ``Symposium on Combinatorics and Geometry'', organized by A. Bj\"orner, KTH Stockholm}, Title = {Oriented matroids and {P}enrose-type tilings}, Year = {1989}} @article{bayer1997discriminantal, Author = {Bayer, M.M. and Brandt, K.A.}, Date-Added = {2019-01-17 17:51:21 +0200}, Date-Modified = {2019-01-17 18:16:10 +0200}, Doi = {10.1023/A:1008601810383}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {52B30}, Mrnumber = {1456579}, Mrreviewer = {Hiroaki Terao}, Number = {3}, Pages = {229--246}, Title = {Discriminantal arrangements, fiber polytopes and formality}, Volume = {6}, Year = {1997}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1456579}} @mastersthesis{bohne1992zonotopaler, Author = {Bohne, J.}, Date-Added = {2019-01-17 17:49:21 +0200}, Date-Modified = {2019-01-17 17:50:08 +0200}, School = {Universit\"at Bielefeld}, Title = {Eine kombinatorische Analyse zonotopaler Raumaufteilungen}, Year = {1992}} @article{shephard1974zonotopes, Author = {Shephard, G.C.}, Date-Added = {2019-01-17 17:47:58 +0200}, Date-Modified = {2019-01-17 18:15:29 +0200}, Doi = {10.4153/CJM-1974-032-5}, Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'{e}matiques}, Journal = {Canad. J. Math.}, Mrclass = {52A25}, Mrnumber = {0362054}, Mrreviewer = {Joseph Zaks}, Pages = {302--321}, Title = {Combinatorial properties of associated zonotopes}, Volume = {26}, Year = {1974}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0362054}} @incollection{baker2006metrized, Author = {Baker, Matthew and Faber, Xander}, Booktitle = {Quantum graphs and their applications}, Date-Added = {2019-01-17 17:47:35 +0200}, Date-Modified = {2019-01-17 18:15:11 +0200}, Doi = {10.1090/conm/415/07857}, Mrclass = {05C50 (35J05 94C05)}, Mrnumber = {2277605}, Mrreviewer = {Xiaodong Hu}, Pages = {15--33}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {Contemp. Math.}, Title = {Metrized graphs, {L}aplacian operators, and electrical networks}, Volume = {415}, Year = {2006}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2277605}} @article{maurer1976matrix, Author = {Maurer, S.B.}, Date-Added = {2019-01-17 17:46:40 +0200}, Date-Modified = {2019-01-17 18:14:52 +0200}, Doi = {10.1137/0130017}, Fjournal = {SIAM Journal on Applied Mathematics}, Journal = {SIAM J. Appl. Math.}, Mrclass = {05C05}, Mrnumber = {0392635}, Mrreviewer = {Daniel I. A. Cohen}, Number = {1}, Pages = {143--148}, Title = {Matrix generalizations of some theorems on trees, cycles and cocycles in graphs}, Volume = {30}, Year = {1976}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0392635}} @article{ehrhart1962polynomial, Author = {Ehrhart, Eug{\`e}ne}, Date-Added = {2019-01-17 17:37:37 +0200}, Date-Modified = {2019-01-17 18:14:32 +0200}, Journal = {C. R. Acad. Sci. Paris}, Mrclass = {10.25}, Mrnumber = {0131403}, Pages = {988--990}, Title = {Sur les poly{\`e}dres homoth\'{e}tiques bord\'{e}s {\`a} {$n$} dimensions}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=0131403}, Volume = {254}, Year = {1962}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=0131403}} @article{norine2013rank, Author = {Hladk\'{y}, Jan and Kr\'{a}\v{l}, Daniel and Norine, Serguei}, Date-Added = {2019-01-17 17:35:22 +0200}, Date-Modified = {2019-01-17 18:14:11 +0200}, Doi = {10.1016/j.jcta.2013.05.002}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {14T05 (14C20 14H99)}, Mrnumber = {3092681}, Mrreviewer = {Joaquim Ro\'{e}}, Number = {7}, Pages = {1521--1538}, Title = {Rank of divisors on tropical curves}, Volume = {120}, Year = {2013}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3092681}} @article{moci2012arithmetic, Author = {D'Adderio, Michele and Moci, Luca}, Date-Added = {2019-01-17 17:30:23 +0200}, Date-Modified = {2019-01-17 18:13:11 +0200}, Doi = {10.1016/j.ejc.2012.02.006}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Mrclass = {52B12 (05C31)}, Mrnumber = {2923464}, Mrreviewer = {Ragnar Freij}, Number = {7}, Pages = {1479--1483}, Title = {Ehrhart polynomial and arithmetic {T}utte polynomial}, Volume = {33}, Year = {2012}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2923464}} @mastersthesis{merino1999matroids, Author = {Merino, C.}, Date-Added = {2019-01-17 17:27:41 +0200}, Date-Modified = {2019-01-17 17:29:06 +0200}, School = {University of Oxford}, Title = {Matroids, the {T}utte polynomial, and the chip-firing game}, Year = {1999}} @article{su2010lattice, Author = {Su, Yi and Wagner, David G.}, Date-Added = {2019-01-17 17:24:36 +0200}, Date-Modified = {2019-01-17 18:12:03 +0200}, Doi = {10.1016/j.jctb.2010.07.003}, Fjournal = {Journal of Combinatorial Theory. Series B}, Journal = {J. Combin. Theory Ser. B}, Mrclass = {05B35}, Mrnumber = {2718687}, Mrreviewer = {Gary Gordon}, Number = {6}, Pages = {691--703}, Title = {The lattice of integer flows of a regular matroid}, Volume = {100}, Year = {2010}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2718687}} @book{godsil2013algebraic, Author = {Godsil, Chris and Royle, Gordon}, Date-Added = {2019-01-17 17:24:13 +0200}, Date-Modified = {2019-01-17 18:11:43 +0200}, Doi = {10.1007/978-1-4613-0163-9}, Mrclass = {05-02 (05C50 05E30)}, Mrnumber = {1829620}, Mrreviewer = {Robin J. Wilson}, Pages = {xx+439}, Publisher = {Springer-Verlag, New York}, Series = {Graduate Texts in Mathematics}, Title = {Algebraic graph theory}, Volume = {207}, Year = {2001}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1829620}} @article{hopkins2016bigraphical, Author = {Hopkins, Sam and Perkinson, David}, Date-Added = {2019-01-17 17:18:49 +0200}, Date-Modified = {2019-01-17 18:17:52 +0200}, Doi = {10.1090/tran/6341}, Fjournal = {Transactions of the American Mathematical Society}, Journal = {Trans. Amer. Math. Soc.}, Mrclass = {05E15 (05C25 05C78 52C35)}, Mrnumber = {3413881}, Mrreviewer = {Amir Mafi}, Number = {1}, Pages = {709--725}, Title = {Bigraphical arrangements}, Volume = {368}, Year = {2016}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3413881}} @article{backman2015fourientations, Author = {Backman, Spencer and Hopkins, Sam}, Date-Added = {2019-01-17 17:18:48 +0200}, Date-Modified = {2019-01-17 18:10:42 +0200}, Doi = {10.1186/s40687-017-0107-z}, Fjournal = {Research in the Mathematical Sciences}, Journal = {Res. Math. Sci.}, Mrclass = {05C31}, Mrnumber = {3696165}, Mrreviewer = {Steven J. Tedford}, Pages = {Paper No. 18, 57}, Title = {Fourientations and the {T}utte polynomial}, Volume = {4}, Year = {2017}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3696165}} @article{backman2015fourientation, Author = {Backman, Spencer and Hopkins, Sam and Traldi, Lorenzo}, Date-Added = {2019-01-17 17:18:47 +0200}, Date-Modified = {2019-01-17 18:10:18 +0200}, Doi = {10.1016/j.ejc.2017.07.002}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Mrclass = {05C31 (05C20)}, Mrnumber = {3707217}, Mrreviewer = {Snje\v{z}ana Majstorovi\'{c}}, Pages = {40--60}, Title = {Fourientation activities and the {T}utte polynomial}, Volume = {67}, Year = {2018}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3707217}} @article{an2014canonical, Author = {An, Y. and Baker, M. and Kuperberg, G. and Shokrieh, F.}, Date-Added = {2019-01-17 17:18:31 +0200}, Date-Modified = {2019-01-17 18:09:46 +0200}, Doi = {10.1017/fms.2014.25}, Fjournal = {Forum of Mathematics. Sigma}, Journal = {Forum Math. Sigma}, Mrclass = {14T05 (05A19 05C25 05E45 14C20)}, Mrnumber = {3264262}, Mrreviewer = {Luis Felipe Tabera}, Pages = {e24, 25 pp.}, Title = {Canonical representatives for divisor classes on tropical curves and the matrix-tree theorem}, Volume = {2}, Year = {2014}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3264262}} @article{chan2015duality, Author = {Chan, M. and Glass, D. and Macauley, M. and Perkinson, D. and Werner, C. and Yang, Q.}, Date-Added = {2019-01-17 17:15:57 +0200}, Date-Modified = {2019-01-17 18:08:54 +0200}, Doi = {10.1137/140982015}, Fjournal = {SIAM Journal on Discrete Mathematics}, Journal = {SIAM J. Discrete Math.}, Mrclass = {05E18 (05C05 05C25)}, Mrnumber = {3319526}, Mrreviewer = {Fred C. Holroyd}, Number = {1}, Pages = {461--471}, Title = {Sandpiles, spanning trees, and plane duality}, Volume = {29}, Year = {2015}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3319526}} @article{chan2015rotor, Author = {Chan, M. and Church, T. and Grochow, J.A.}, Date-Added = {2019-01-17 17:15:23 +0200}, Date-Modified = {2019-01-17 18:08:36 +0200}, Doi = {10.1093/imrn/rnu025}, Fjournal = {International Mathematics Research Notices. IMRN}, Journal = {Int. Math. Res. Not. IMRN}, Mrclass = {05C10 (05C75)}, Mrnumber = {3373049}, Mrreviewer = {David Perkinson}, Number = {11}, Pages = {3225--3244}, Title = {Rotor-routing and spanning trees on planar graphs}, Year = {2015}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3373049}} @article{backman2014partial, Author = {Backman, S.}, Date-Added = {2019-01-17 17:14:55 +0200}, Date-Modified = {2019-01-17 18:08:04 +0200}, Doi = {10.1016/j.aam.2017.05.003}, Fjournal = {Advances in Applied Mathematics}, Journal = {Adv. in Appl. Math.}, Mrclass = {05C31 (05E40 52B20)}, Mrnumber = {3739498}, Mrreviewer = {Adrian Tanasa}, Pages = {103--119}, Title = {Partial graph orientations and the {T}utte polynomial}, Volume = {94}, Year = {2018}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3739498}} @mastersthesis{gioan2002correspond, Author = {Gioan, E.}, Date-Added = {2019-01-17 17:12:27 +0200}, Date-Modified = {2019-01-17 17:14:01 +0200}, School = {University of Bordeaux 1}, Title = {Correspondance naturelle entre bases et r\'eorientations des matro\"ies orient\'es}, Year = {2002}} @article{gioan2008circuit, Author = {Gioan, E.}, Date-Added = {2019-01-17 17:10:36 +0200}, Date-Modified = {2019-01-17 18:06:58 +0200}, Doi = {10.1007/s00026-008-0345-2}, Fjournal = {Annals of Combinatorics}, Journal = {Ann. Comb.}, Mrclass = {05B35 (05A99 52C40)}, Mrnumber = {2428903}, Mrreviewer = {Haidong Wu}, Number = {2}, Pages = {171--182}, Title = {Circuit-cocircuit reversing systems in regular matroids}, Volume = {12}, Year = {2008}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2428903}} @article{gioan2007enumerating, Author = {Gioan, E.}, Date-Added = {2019-01-17 17:10:18 +0200}, Date-Modified = {2019-01-17 18:07:25 +0200}, Doi = {10.1016/j.ejc.2005.11.006}, Fjournal = {European Journal of Combinatorics}, Journal = {European J. Combin.}, Mrclass = {05C20 (05C07 05C38)}, Mrnumber = {2305596}, Mrreviewer = {Nirupama S. Bhave}, Number = {4}, Pages = {1351--1366}, Title = {Enumerating degree sequences in digraphs and a cycle-cocycle reversing system}, Volume = {28}, Year = {2007}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2305596}} @article{gioan2005activity, Author = {Gioan, E. and Las Vergnas, M.}, Date-Added = {2019-01-17 17:09:58 +0200}, Date-Modified = {2019-01-17 18:07:09 +0200}, URL = {https://doi.org/10.1016/j.disc.2005.04.010}, Fjournal = {Discrete Mathematics}, Journal = {Discrete Math.}, Mrclass = {05B35 (05A19 05C20)}, Mrnumber = {2163447}, 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://mathscinet.ams.org/mathscinet-getitem?mr=2163447}} @unpublished{farbod2016draft, Author = {Shokrieh, F.}, Date-Added = {2019-01-17 17:07:38 +0200}, Date-Modified = {2019-01-17 17:14:13 +0200}, Note = {In preparation}, Title = {Matroids and their {J}acobians}} @article{baker2013chip, Author = {Baker, M. and Shokrieh, F.}, Date-Added = {2019-01-17 17:07:23 +0200}, Date-Modified = {2019-01-17 18:06:19 +0200}, Doi = {10.1016/j.jcta.2012.07.011}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {05C57 (05C05 05C50 31C20 65R10)}, Mrnumber = {2971705}, Mrreviewer = {Nick Gravin}, Number = {1}, Pages = {164--182}, Title = {Chip-firing games, potential theory on graphs, and spanning trees}, Volume = {120}, Year = {2013}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2971705}} @article{biggs1999chip, Author = {Biggs, N. L.}, Date-Added = {2019-01-17 17:07:04 +0200}, Date-Modified = {2019-01-17 18:05:59 +0200}, Doi = {10.1023/A:1018611014097}, Fjournal = {Journal of Algebraic Combinatorics. An International Journal}, Journal = {J. Algebraic Combin.}, Mrclass = {05C25 (20K01)}, Mrnumber = {1676732}, Mrreviewer = {M. E. Watkins}, Number = {1}, Pages = {25--45}, Title = {Chip-firing and the critical group of a graph}, Volume = {9}, Year = {1999}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1676732}} @book{oxley2006matroid, Author = {Oxley, James}, Date-Added = {2019-01-17 17:06:37 +0200}, Date-Modified = {2019-01-17 18:05:29 +0200}, Doi = {10.1093/acprof:oso/9780198566946.001.0001}, Edition = {Second}, Mrclass = {05-01 (05B35 90C27)}, Mrnumber = {2849819}, Mrreviewer = {Maruti M. Shikare}, Pages = {xiv+684}, Publisher = {Oxford University Press, Oxford}, Series = {Oxford Graduate Texts in Mathematics}, Title = {Matroid theory}, Volume = {21}, Year = {2011}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2849819}} @article{kung2010convolution, Author = {Kung, Joseph P. S.}, Date-Added = {2019-01-17 17:05:43 +0200}, Date-Modified = {2019-01-17 18:05:13 +0200}, Doi = {10.1016/j.jctb.2010.05.003}, Fjournal = {Journal of Combinatorial Theory. Series B}, Journal = {J. Combin. Theory Ser. B}, Mrclass = {05B35 (05A19)}, Mrnumber = {2718681}, Mrreviewer = {Dirk L. Vertigan}, Number = {6}, Pages = {617--624}, Title = {Convolution-multiplication identities for {T}utte polynomials of graphs and matroids}, Volume = {100}, Year = {2010}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2718681}} @article{kook1999convolution, Author = {Kook, W. and Reiner, V. and Stanton, D.}, Date-Added = {2019-01-17 17:05:20 +0200}, Date-Modified = {2019-01-17 18:04:55 +0200}, Doi = {10.1006/jctb.1998.1888}, Fjournal = {Journal of Combinatorial Theory. Series B}, Journal = {J. Combin. Theory Ser. B}, Mrclass = {05B35}, Mrnumber = {1699230}, Mrreviewer = {J. M. S. Sim\~{o}es-Pereira}, Number = {2}, Pages = {297--300}, Title = {A convolution formula for the {T}utte polynomial}, Volume = {76}, Year = {1999}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1699230}} @article{etienne1998external, Author = {Etienne, Gwihen and Vergnas, Michel Las}, Date-Added = {2019-01-17 16:36:27 +0200}, Date-Modified = {2019-01-17 18:02:46 +0200}, Doi = {10.1016/S0012-365X(95)00332-Q}, Fjournal = {Discrete Mathematics}, Journal = {Discrete Math.}, Mrclass = {05B35}, Mrnumber = {1489076}, Mrreviewer = {Laura M. Anderson}, Number = {1-3}, Pages = {111--119}, Title = {External and internal elements of a matroid basis}, Volume = {179}, Year = {1998}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1489076}} @article{perkinson2015dfs, Author = {Perkinson, D. and Yang, Q. and Yu, K.}, Date-Added = {2019-01-17 16:36:04 +0200}, Date-Modified = {2019-01-17 18:02:32 +0200}, Doi = {10.1007/s00493-015-3191-y}, Fjournal = {Combinatorica. An International Journal on Combinatorics and the Theory of Computing}, Journal = {Combinatorica}, Mrclass = {05A15 (05A19 05C05 05C30)}, Mrnumber = {3638345}, Mrreviewer = {David Callan}, Number = {2}, Pages = {269--282}, Title = {{$G$}-parking functions and tree inversions}, Volume = {37}, Year = {2017}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3638345}} @article{cori2001burning, Author = {Cori, R. and Phan, T.H.D. and Tran, T.T.H.}, Date-Added = {2019-01-17 16:35:30 +0200}, Date-Modified = {2019-01-17 18:02:12 +0200}, Doi = {10.1051/ita/2012023}, Fjournal = {RAIRO Theoretical Informatics and Applications. Informatique Th\'{e}orique et Applications}, Journal = {RAIRO Theor. Inform. Appl.}, Mrclass = {05C57 (68R15 91A43)}, Mrnumber = {3072314}, Number = {2}, Pages = {133--146}, Title = {Signed chip firing games with symmetric sandpile models on the cycles}, Volume = {47}, Year = {2013}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3072314}} @book{sturmfels1996grobner, Author = {Sturmfels, Bernd}, Date-Added = {2019-01-17 16:35:05 +0200}, Date-Modified = {2019-01-17 18:01:59 +0200}, Mrclass = {13P10 (14M25 52B20)}, Mrnumber = {1363949}, Mrreviewer = {P. Schenzel}, Pages = {xii+162}, Publisher = {American Mathematical Society, Providence, RI}, Series = {University Lecture Series}, Title = {Gr\"{o}bner bases and convex polytopes}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=1363949}, Volume = {8}, Year = {1996}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1363949}} @incollection{stanley1991zonotope, Author = {Stanley, Richard P.}, Booktitle = {Applied geometry and discrete mathematics}, Date-Added = {2019-01-17 16:30:42 +0200}, Date-Modified = {2019-01-17 18:01:43 +0200}, Mrclass = {52B20 (05C30 52B05)}, Mrnumber = {1116376}, Mrreviewer = {P. McMullen}, Pages = {555--570}, Publisher = {Amer. Math. Soc., Providence, RI}, Series = {DIMACS Ser. Discrete Math. Theoret. Comput. Sci.}, Title = {A zonotope associated with graphical degree sequences}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=1116376}, Volume = {4}, Year = {1991}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1116376}} @book{schrijver1986LP, Author = {Schrijver, Alexander}, Date-Added = {2019-01-17 16:30:16 +0200}, Date-Modified = {2019-01-17 18:01:28 +0200}, Mrclass = {90C05 (90C10)}, Mrnumber = {874114}, Mrreviewer = {J\"{u}rgen K\"{o}hler}, Note = {A Wiley-Interscience Publication}, Pages = {xii+471}, Publisher = {John Wiley \& Sons, Ltd., Chichester}, Series = {Wiley-Interscience Series in Discrete Mathematics}, Title = {Theory of linear and integer programming}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=874114}, Year = {1986}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=874114}} @book{beck2007computing, Author = {Beck, Matthias and Robins, Sinai}, Date-Added = {2019-01-17 16:29:12 +0200}, Date-Modified = {2019-01-17 18:00:59 +0200}, Mrclass = {11P21 (05-02 05A15 11-02 11H06 52B05 52B20)}, Mrnumber = {2271992}, Mrreviewer = {Jes\'{u}s A. De Loera}, Note = {Integer-point enumeration in polyhedra}, Pages = {xviii+226}, Publisher = {Springer, New York}, Series = {Undergraduate Texts in Mathematics}, Title = {Computing the continuous discretely}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=2271992}, Year = {2007}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2271992}} @book{bjorner1999oriented, Author = {Bj\"{o}rner, Anders and Las Vergnas, Michel and Sturmfels, Bernd and White, Neil and Ziegler, G\"{u}nter M.}, Date-Added = {2019-01-17 16:28:32 +0200}, Date-Modified = {2019-01-17 18:00:43 +0200}, Doi = {10.1017/CBO9780511586507}, Edition = {Second}, Mrclass = {52B40 (05B35 52C35)}, Mrnumber = {1744046}, Pages = {xii+548}, Publisher = {Cambridge University Press, Cambridge}, Series = {Encyclopedia of Mathematics and its Applications}, Title = {Oriented matroids}, Volume = {46}, Year = {1999}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1744046}} @article{backman2014riemann, Author = {Backman, S.}, Date-Added = {2019-01-17 16:27:50 +0200}, Date-Modified = {2019-01-17 18:00:18 +0200}, Doi = {10.1016/j.aim.2017.01.005}, Fjournal = {Advances in Mathematics}, Journal = {Adv. Math.}, Mrclass = {05C50 (05C85 14H51 14T05)}, Mrnumber = {3607288}, Mrreviewer = {Rosanna Grassi}, Pages = {655--691}, Title = {Riemann-{R}och theory for graph orientations}, Volume = {309}, Year = {2017}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3607288}} @article{bacher1997lattice, Author = {Bacher, Roland and de la Harpe, Pierre and Nagnibeda, Tatiana}, Date-Added = {2019-01-17 16:27:27 +0200}, Date-Modified = {2019-01-17 18:00:03 +0200}, Fjournal = {Bulletin de la Soci\'{e}t\'{e} Math\'{e}matique de France}, Journal = {Bull. Soc. Math. France}, Mrclass = {05C38 (11H06)}, Mrnumber = {1478029}, Mrreviewer = {Valentin E. Brimkov}, Number = {2}, Pages = {167--198}, Title = {The lattice of integral flows and the lattice of integral cuts on a finite graph}, Url = {https://mathscinet.ams.org/mathscinet-getitem?mr=1478029}, Volume = {125}, Year = {1997}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=1478029}} @article{bernardi2008tutte, Author = {Bernardi, O.}, Date-Added = {2019-01-17 16:26:56 +0200}, Date-Modified = {2019-01-17 17:59:24 +0200}, Fjournal = {Electronic Journal of Combinatorics}, Journal = {Electron. J. Combin.}, Mrclass = {05C20}, Mrnumber = {2438581}, Mrreviewer = {Gary Gordon}, Number = {1}, Pages = {Research Paper 109, 53 pp.}, Title = {Tutte polynomial, subgraphs, orientations and sandpile model: new connections via embeddings}, Url = {https://www.combinatorics.org/ojs/index.php/eljc/article/view/v15i1r109}, Volume = {15}, Year = {2008}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=2438581}} @article{yuen2017geometric, Author = {Yuen, C.H.}, Date-Added = {2019-01-17 16:25:20 +0200}, Date-Modified = {2019-01-17 17:59:08 +0200}, Doi = {10.1016/j.jcta.2017.06.004}, Fjournal = {Journal of Combinatorial Theory. Series A}, Journal = {J. Combin. Theory Ser. A}, Mrclass = {14T05 (05C25 05E18 14C20 14H40)}, Mrnumber = {3682731}, Mrreviewer = {Luis Felipe Tabera}, Pages = {159--189}, Title = {Geometric bijections between spanning trees and break divisors}, Volume = {152}, Year = {2017}, Bdsk-Url-1 = {https://mathscinet.ams.org/mathscinet-getitem?mr=3682731}} @article{baker2017bernardi, Author = {Baker, M. and Wang, Y.}, Date-Added = {2019-01-17 14:16:37 +0000}, Date-Modified = {2019-01-17 17:58:52 +0200}, Doi = {10.1093/imrn/rnx037}, Journal = {Int. Math. Res. Not. IMRN}, Month = {Mar}, Number = {16}, Pages = {5120--5147}, Publisher = {Oxford University Press (OUP)}, Title = {The Bernardi Process and Torsor Structures on Spanning Trees}, Volume = {2018}, Year = {2017}, Bdsk-Url-1 = {http://dx.doi.org/10.1093/imrn/rnx037}} @misc{dall2014polyhedral, Author = {A.~Dall and J.~Pfeifle}, Date-Added = {2019-01-17 14:14:33 +0000}, Date-Modified = {2019-01-17 17:58:22 +0200}, Eprint = {1404.3876}, Title = {A Polyhedral Proof of the Matrix Tree Theorem}, Eprinttype = {arxiv}, Year = {2014}, Bdsk-Url-1 = {https://arxiv.org/abs/1404.3876}, Bdsk-Url-2 = {https://arxiv.org/pdf/1404.3876}}