Computing the Tutte polynomial of a hyperplane arragement

Pacific Journal of Mathematics - Tập 230 Số 1 - Trang 1-26 - 2007
Federico Ardila1
1MATHEMATICS DEPARTMENT SAN FRANCISCO STATE UNIVERSITY 1600 HOLLOWAY AVENUE SAN FRANCISCO, CA 94110 UNITED STATES

Tóm tắt

Từ khóa


Tài liệu tham khảo

Ardila, 2007, Rev. Colombiana Mat., 41, 39

10.1006/aima.1996.0059

Athanasiadis, 2000, Arrangements, 27, 1

Bergeron, 1998, Combinatorial species and tree-like structures, 67

Björner, 2005, Combinatorics of Coxeter groups, 231

Björner, 1993, Oriented matroids, 46

Brylawski, 1992, Matroid applications, 40, 123, 10.1017/CBO9780511662041.007

10.1007/BF01899388

10.1007/BF01817442

Greene, 1976, Studies in Appl. Math., 55, 119, 10.1002/sapm1976552119

10.1023/A:1008621126402

Humphreys, 1990, Reflection groups and Coxeter groups, 29, 10.1017/CBO9780511623646

Konheim, 1966, SIAM J. Appl. Math., 14, 1266, 10.1137/0114101

Niven, 1969, Amer. Math. Monthly, 76, 871, 10.1080/00029890.1969.12000359

10.1007/BF01392549

Orlik, 1992, Arrangements of hyperplanes, 300, 10.1007/978-3-662-02772-1

10.1006/jcta.2000.3106

10.1006/eujc.1998.0275

Scott, 1958, J. Symb. Logic, 23, 113, 10.2307/2964389

Shi, 1986, The Kazhdan–Lusztig cells in certain affine Weyl groups, 1179, 10.1007/BFb0074968

10.1112/jlms/s2-35.1.42

Stanley, 1996, Proc. Nat. Acad. Sci. U.S.A., 93, 2620, 10.1073/pnas.93.6.2620

Stanley, 1997, Enumerative combinatorics, 49, 10.1017/CBO9780511805967

10.1016/S0012-365X(98)00146-0

Stanley, 1998, Mathematical essays in honor of Gian-Carlo Rota, 161, 359, 10.1007/978-1-4612-4108-9_19

Stanley, 1999, Enumerative combinatorics, 62, 10.1017/CBO9780511609589

Tutte, 1954, Canadian J. Math., 6, 80, 10.4153/CJM-1954-010-9

10.1006/aama.1999.0660

Zaslavsky, 1975, Facing up to arrangements: face-count formulas for partitions of space by hyperplanes, 154

10.1006/jctb.1995.1025