On optimizing discrete Morse functions
Tài liệu tham khảo
Babson, 1999, Complexes of not i-connected graphs, Topology, 38, 271, 10.1016/S0040-9383(98)00009-3
Babson, 2005, Discrete Morse functions from lexicographic orders, Trans. Amer. Math. Soc., 357, 509, 10.1090/S0002-9947-04-03495-6
Billera, 2000, Decompositions of partially ordered sets, Order, 17, 141, 10.1023/A:1006420120193
Björner, 1984, Posets, regular CW complexes and Bruhat order, European J. Combin., 5, 7, 10.1016/S0195-6698(84)80012-8
Björner, 1992, The homology and shellability of matroids and geometric lattices, vol. 40, 226
Björner, 1995, Topological methods, vol. 1,2, 1819
Chari, 2000, On discrete Morse functions and combinatorial decompositions, Discrete Math., 217, 101, 10.1016/S0012-365X(99)00258-7
Edelman, 1995, Lexicographically first reduced words, Discrete Math., 147, 95, 10.1016/0012-365X(94)00229-C
Edelman, 1985, The homotopy type of hyperplane posets, Proc. Amer. Math. Soc., 94, 221, 10.1090/S0002-9939-1985-0784167-3
Forman, 1998, Morse theory for cell complexes, Adv. Math., 134, 90, 10.1006/aima.1997.1650
Garsia, 2002, The saga of reduced factorizations of elements of the symmetric group, Publications du Laboratoire de Combinatoire et d' Informatique Mathematique, 29
P. Hanlon, P. Hersh, J. Shareshian, A GLn(q)-analogue of the partition lattice, preprint, 2004
Hersh, 2004, Gröbner basis degree bound on Tor•k[Λ](k,k)• and discrete Morse theory for posets, vol. 374
Hultman, 2002, Quotient complexes and lexicographic shellability, J. Algebraic Combin., 16, 83, 10.1023/A:1020886515443
Humphreys, 1990, Reflection Groups and Coxeter Groups, vol. 29
Jonsson, 2003, On the topology of simplicial complexes related to 3-connected and Hamiltonian graphs, J. Combin. Theory Ser. A, 104, 169, 10.1016/j.jcta.2003.07.001
Kozlov, 2000, Collapsibility of Δ(Πn)/Sn and some related CW complexes, Proc. Amer. Math. Soc., 128, 2253, 10.1090/S0002-9939-99-05301-0
Rota, 1964, On the foundations of combinatorial theory. I. Theory of Möbius functions, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 2, 340, 10.1007/BF00531932
Shareshian, 2001, Discrete Morse theory for complexes of 2-connected graphs, Topology, 40, 681, 10.1016/S0040-9383(99)00076-2
Stanley, 1991, f-vectors and h-vectors of simplicial posets, J. Pure Appl. Algebra, 71, 319, 10.1016/0022-4049(91)90155-U