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@misc{lenz-backman-2016,
	Author = {Backman, S. and Lenz, M.},
	Date-Modified = {2017-04-02 06:45:31 +0000},
	Eprint = {1602.02664},
	Eprinttype = {arxiv},
	Title = {A convolution formula for {T}utte polynomials of arithmetic matroids and other combinatorial structures},
	Year = {2016}}

@article{bajo-burdick-chmutov-2014,
	Author = {Bajo, C. and Burdick, B. and Chmutov, S.},
	Date-Modified = {2017-04-02 06:47:34 +0000},
	Doi = {10.1016/j.jcta.2013.12.006},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {186--201},
	Title = {On the {T}utte-{K}rushkal-{R}enardy polynomial for cell complexes},
	Volume = {123},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2013.12.006}}

@incollection{barvinok-pommersheim-short-1999,
	Author = {Barvinok, A. and Pommersheim, J.},
	Booktitle = {New Perspectives in Algebraic Combinatorics},
	Date-Modified = {2017-04-02 06:47:40 +0000},
	Pages = {91--147},
	Publisher = {Cambridge Univ. Press},
	Series = {Math. Sci. Res. Inst. Publ., Vol. 38},
	Title = {An algorithmic theory of lattice points in polyhedra},
	Year = {1999}}

@article{beck-breuer-godkin-martin-2014,
	Author = {M. {Beck} and F. {Breuer} and L. {Godkin} and J. L. {Martin}},
	Date-Modified = {2017-04-02 06:48:29 +0000},
	Doi = {10.1016/j.jcta.2013.10.002},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {82--106},
	Title = {{Enumerating colorings, tensions and flows in cell complexes.}},
	Volume = {122},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.jcta.2013.10.002}}

@inproceedings{beck-kemper-short-2012,
	Author = {M. Beck and Y. Kemper},
	Booktitle = {24th International Conference on Formal Power Series and Algebraic Combinatorics},
	Date-Modified = {2017-04-02 06:58:57 +0000},
	Pages = {817--826},
	Publisher = {DMTCS Proceedings},
	Title = {Flows on Simplicial Complexes},
	Url = {https://www.dmtcs.org/dmtcs-ojs/index.php/proceedings/article/view/dmAR0172.1.html},
	Year = {2012}}

@book{OrientedMatroidsBook,
	Author = {Bj{\"o}rner, A. and Las Vergnas, M. and Sturmfels, B. and White, N. and Ziegler, G. M.},
	Date-Modified = {2017-04-02 06:52:13 +0000},
	Doi = {10.1017/CBO9780511586507},
	Edition = {Second Ed.},
	Publisher = {Cambridge University Press},
	Series = {Encyclopedia of Mathematics and its Applications, Vol. 46},
	Title = {Oriented Matroids},
	Year = {1999},
	Bdsk-Url-1 = {http://dx.doi.org/10.1017/CBO9780511586507}}

@article{bollobas-riordan-2002,
	Author = {B. {Bollob\'as} and O. {Riordan}},
	Date-Modified = {2017-04-02 06:52:58 +0000},
	Doi = {10.1007/s002080100297},
	Journal = {{Math. Ann.}},
	Pages = {81--96},
	Title = {{A polynomial of graphs on surfaces.}},
	Volume = {323},
	Year = {2002},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s002080100297}}

@article{bouchet-1989,
	Author = {A. {Bouchet}},
	Date-Modified = {2017-04-02 06:53:16 +0000},
	Doi = {10.1016/0012-365X(89)90161-1},
	Journal = {{Discrete Math.}},
	Pages = {59--71},
	Title = {{Maps and $\Delta$-matroids.}},
	Volume = {78},
	Year = {1989},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/0012-365X(89)90161-1}}

@article{branden-moci-2014,
	Author = {Br{\"a}nd{\'e}n, P. and Moci, L.},
	Date-Modified = {2017-04-02 06:53:34 +0000},
	Doi = {10.1090/S0002-9947-2014-06092-3},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {5523--5540},
	Title = {The multivariate arithmetic {T}utte polynomial},
	Volume = {366},
	Year = {2014},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-2014-06092-3}}

@incollection{brylawski-oxley-1992,
	Author = {Brylawski, T. and Oxley, J.},
	Booktitle = {Matroid Applications},
	Date-Modified = {2017-04-02 06:54:29 +0000},
	Pages = {123--225},
	Publisher = {Cambridge Univ. Press},
	Series = {Encyclopedia Math. Appl., Vol. 40},
	Title = {The {T}utte polynomial and its applications},
	Year = {1992}}

@inproceedings{cameron-fink-fpsac-short-2016,
	Author = {A. Cameron and A. Fink},
	Booktitle = {28th International Conference on Formal Power Series and Algebraic Combinatorics},
	Date-Modified = {2017-04-02 06:58:44 +0000},
	Pages = {299--310},
	Publisher = {DMTCS Proceedings},
	Title = {A lattice point counting generalisation of the {T}utte polynomial},
	Url = {https://fpsac2016.sciencesconf.org/113730},
	Year = {2016}}

@misc{chun-moffat-noble-rueckriemen-2014,
	Author = {C. Chun and I. Moffatt and S. Noble and R. Rueckriemen},
	Date-Modified = {2017-04-02 07:00:08 +0000},
	Eprint = {1403.0920},
	Eprinttype = {arxiv},
	Title = {Matroids, delta-matroids and embedded graphs},
	Year = {2014}}

@article{moci-adderio-2013,
	Author = {D'Adderio, M. and Moci, L.},
	Date-Modified = {2017-04-02 07:00:26 +0000},
	Doi = {10.1016/j.aim.2012.09.001},
	Journal = {Adv. Math.},
	Pages = {335--367},
	Title = {Arithmetic matroids, the {T}utte polynomial and toric arrangements},
	Volume = {232},
	Year = {2013},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0001870812003234},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.aim.2012.09.001}}

@article{moci-adderio-flow-2013,
	Author = {D'Adderio, M. and Moci, L.},
	Date-Modified = {2017-04-02 07:00:56 +0000},
	Doi = {10.1016/j.jcta.2012.06.009},
	Journal = {J. Combin. Theory Ser. A},
	Pages = {11--27},
	Title = {Graph colorings, flows and arithmetic {T}utte polynomial},
	Volume = {120},
	Year = {2013},
	Bdsk-Url-1 = {http://www.sciencedirect.com/science/article/pii/S0097316512001136},
	Bdsk-Url-2 = {http://dx.doi.org/10.1016/j.jcta.2012.06.009}}

@article{dahmen-micchelli-1985b,
	Author = {Dahmen, W. and Micchelli, C.},
	Date-Modified = {2017-04-02 07:01:32 +0000},
	Doi = {10.2307/2000181},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {305--320},
	Title = {On the solution of certain systems of partial difference equations and linear dependence of translates of box splines},
	Volume = {292},
	Year = {1985},
	Bdsk-Url-1 = {http://dx.doi.org/10.2307/2000181}}

@book{concini-procesi-book,
	Author = {De Concini, C. and Procesi, C.},
	Date-Modified = {2017-04-02 07:02:20 +0000},
	Doi = {10.1007/978-0-387-78963-7},
	Publisher = {Springer},
	Title = {Topics in Hyperplane Arrangements, Polytopes and Box-Splines},
	Year = {2011},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/978-0-387-78963-7}}

@misc{delucchi-moci-2016,
	Author = {E. Delucchi and L. Moci},
	Date-Modified = {2017-04-02 07:02:53 +0000},
	Eprint = {1602.04307},
	Eprinttype = {arxiv},
	Title = {Colorings and flows on {CW} complexes, {T}utte quasi-polynomials and arithmetic matroids},
	Year = {2016}}

@article{duchamp-nguyen-krajewski-tanasa-2013,
	Author = {G. {Duchamp} and N. {Hoang-Nghia} and T. {Krajewski} and A. {Tanasa}},
	Date-Modified = {2017-04-02 07:03:53 +0000},
	Doi = {10.1016/j.aam.2013.04.006},
	Journal = {Adv. Appl. Math.},
	Pages = {345--358},
	Title = {Recipe theorem for the Tutte polynomial for matroids, renormalization group-like approach},
	Volume = {51},
	Year = {2013},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/j.aam.2013.04.006}}

@article{duval-klivans-martin-2015,
	Author = {Duval, A. and Klivans, C. and Martin, J.},
	Date-Modified = {2017-04-02 07:04:16 +0000},
	Doi = {10.1007/s10801-014-0561-2},
	Journal = {J. Algebraic Combin.},
	Pages = {969--999},
	Title = {Cuts and flows of cell complexes},
	Volume = {41},
	Year = {2015},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-014-0561-2}}

@article{etienne-las-vergnas-1998,
	Author = {G. {Etienne} and M. {Las Vergnas}},
	Date-Modified = {2017-04-02 07:04:38 +0000},
	Doi = {10.1016/S0012-365X(95)00332-Q},
	Journal = {{Discrete Math.}},
	Pages = {111--119},
	Title = {{External and internal elements of a matroid basis}},
	Volume = {179},
	Year = {1998},
	Bdsk-Url-1 = {http://dx.doi.org/10.1016/S0012-365X(95)00332-Q}}

@article{fink-moci-2016,
	Author = {Fink, A. and Moci, L.},
	Date-Modified = {2017-04-02 07:05:18 +0000},
	Doi = {10.4171/JEMS/600},
	Journal = {J. Eur. Math. Soc.},
	Pages = {681--731},
	Title = {Matroids over a ring},
	Volume = {18},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.4171/JEMS/600}}

@article{kook-reiner-stanton-1999,
	Author = {Kook, W. and Reiner, V. and Stanton, D.},
	Date-Modified = {2017-04-02 07:05:42 +0000},
	Doi = {10.1006/jctb.1998.1888},
	Journal = {J. Combin. Theory Ser. B},
	Pages = {297--300},
	Title = {A convolution formula for the {T}utte polynomial},
	Volume = {76},
	Year = {1999},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/jctb.1998.1888}}

@misc{krajewski-moffatt-tanasa-2015,
	Author = {T. Krajewski and I. Moffatt and A. Tanasa},
	Date-Modified = {2017-04-02 07:06:20 +0000},
	Eprint = {1508.00814},
	Eprinttype = {arxiv},
	Title = {Combinatorial {H}opf algebras and topological {T}utte polynomials},
	Year = {2015}}

@article{lenz-arithmetic-2016,
	Author = {M. Lenz},
	Date-Modified = {2017-04-02 07:07:07 +0000},
	Doi = {10.1007/s10801-015-0621-2},
	Journal = {J. Algebraic Combin.},
	Pages = {277--324},
	Title = {Splines, lattice points, and arithmetic matroids},
	Volume = {43},
	Year = {2016},
	Bdsk-Url-1 = {http://dx.doi.org/10.1007/s10801-015-0621-2}}

@article{moci-tutte-2012,
	Author = {Moci, L.},
	Date-Modified = {2017-04-02 07:07:27 +0000},
	Doi = {10.1090/S0002-9947-2011-05491-7},
	Journal = {Trans. Amer. Math. Soc.},
	Pages = {1067--1088},
	Title = {A {T}utte polynomial for toric arrangements},
	Volume = {364},
	Year = {2012},
	Bdsk-Url-1 = {http://dx.doi.org/10.1090/S0002-9947-2011-05491-7}}

@article{oxley-whittle-1993,
	Author = {Oxley, J. and Whittle, G.},
	Date-Modified = {2017-04-02 07:09:19 +0000},
	Doi = {10.1006/jctb.1993.1067},
	Journal = {J. Combin. Theory Ser. B},
	Pages = {210--244},
	Title = {A characterization of {T}utte invariants of {$2$}-polymatroids},
	Volume = {59},
	Year = {1993},
	Bdsk-Url-1 = {http://dx.doi.org/10.1006/jctb.1993.1067}}

@book{MatroidTheory-Oxley,
	Author = {Oxley, J. G.},
	Date-Modified = {2017-04-02 07:08:57 +0000},
	Publisher = {Oxford University Press},
	Title = {Matroid Theory},
	Year = {1992}}

@book{schrijver-co-volB,
	Author = {Schrijver, A.},
	Date-Modified = {2017-04-02 07:09:54 +0000},
	Publisher = {Springer-Verlag, Berlin},
	Series = {Algorithms and Combinatorics, Vol. 24},
	Title = {Combinatorial Optimization. {P}olyhedra and Efficiency. {V}ol. {B}},
	Year = {2003}}

@article{stanley-1991,
	Author = {Stanley, R. P.},
	Date-Modified = {2017-04-02 07:14:03 +0000},
	Journal = {Applied Geometry and Discrete Combinatorics, DIMACS Series in Discrete Mathematics},
	Pages = {555--570},
	Title = {A zonotope associated with graphical degree sequences},
	Volume = {4},
	Year = {1991}}

@misc{lenz-ppcram-2017,
	Author = {M. Lenz},
	Date-Modified = {2017-04-02 07:06:42 +0000},
	Eprint = {1703.10520},
	Eprinttype = {arxiv},
	Title = {On powers of {P}l\"ucker coordinates and representability of arithmetic matroids},
	Year = {2017}}