Dyck path triangulations and extendability
Tài liệu tham khảo
Ardila, 2007, Flag arrangements and triangulations of products of simplices, Adv. Math., 214, 495, 10.1016/j.aim.2007.02.014
Ardila, 2013, Acyclic systems of permutations and fine mixed subdivisions of simplices, Discrete Comput. Geom., 49, 485, 10.1007/s00454-013-9485-1
Ardila, 2009, Tropical hyperplane arrangements and oriented matroids, Math. Z., 262, 795, 10.1007/s00209-008-0400-z
Armstrong
Armstrong, 2013, Rational associahedra and noncrossing partitions, Electron. J. Combin., 20, 10.37236/3432
Babson, 1998, The geometry of products of minors, Discrete Comput. Geom., 20, 231, 10.1007/PL00009384
Björner, 1993, Oriented Matroids, vol. 46
Conca, 2007, Nice initial complexes of some classical ideals, vol. 423, 11
de Loera, 1996, Nonregular triangulations of products of simplices, Discrete Comput. Geom., 15, 253, 10.1007/BF02711494
De Loera, 2010, Triangulations: Structures for Algorithms and Applications, vol. 25
Develin, 2004, Tropical convexity, Doc. Math., 9, 1, 10.4171/dm/154
Dey, 1993, On counting triangulations in d dimensions, Comput. Geom., 3, 315, 10.1016/0925-7721(93)90005-Q
Gelfand, 1994, Discriminants, Resultants, and Multidimensional Determinants, 10.1007/978-0-8176-4771-1
Haiman, 1991, A simple and relatively efficient triangulation of the n-cube, Discrete Comput. Geom., 6, 287, 10.1007/BF02574690
Hillar, 2012, Finite Gröbner bases in infinite dimensional polynomial rings and applications, Adv. Math., 229, 1, 10.1016/j.aim.2011.08.009
Horn, 2012, A topological representation theorem for tropical oriented matroids, 135
Hoşten, 2007, A finiteness theorem for Markov bases of hierarchical models, J. Combin. Theory Ser. A, 114, 311, 10.1016/j.jcta.2006.06.001
Oh, 2011, Triangulations of Δn−1×Δd−1 and tropical oriented matroids, 717
Oh
Orden, 2003, Asymptotically efficient triangulations of the d-cube, Discrete Comput. Geom., 30, 509, 10.1007/s00454-003-2845-5
Santos, 2000, A point set whose space of triangulations is disconnected, J. Amer. Math. Soc., 13, 611, 10.1090/S0894-0347-00-00330-1
Santos, 2005, The Cayley trick and triangulations of products of simplices, vol. 374, 151
Santos, 2013, Some acyclic systems of permutations are not realizable by triangulations of a product of simplices, vol. 589, 317
Snowden, 2013, Syzygies of Segre embeddings and Δ-modules, Duke Math. J., 162, 225, 10.1215/00127094-1962767
Sturmfels, 1996, Gröbner Bases and Convex Polytopes, vol. 8
