TOPOLOGICAL REPRESENTATION OF DUAL PAIRS OF ORIENTED MATROIDS

被引:3
|
作者
BRYLAWSKI, TH [1 ]
ZIEGLER, GM [1 ]
机构
[1] KONRAD ZUSE ZENTRUM INFORMAT TECH BERLIN,W-1000 BERLIN 31,GERMANY
关键词
D O I
10.1007/BF02573978
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We prove that every pair of dual oriented matroids can be represented in complementary subspheres of an arrangement of pseudospheres.
引用
收藏
页码:237 / 240
页数:4
相关论文
共 50 条
  • [1] The topological representation of oriented matroids
    Bokowski, J
    King, S
    Mock, S
    Streinu, I
    [J]. DISCRETE & COMPUTATIONAL GEOMETRY, 2005, 33 (04) : 645 - 668
  • [2] The Topological Representation of Oriented Matroids
    Jürgen Bokowski
    Simon King
    Susanne Mock
    Ileana Streinu
    [J]. Discrete & Computational Geometry, 2005, 33 : 645 - 668
  • [3] A Topological Representation Theorem for tropical oriented matroids
    Horn, Silke
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES A, 2016, 142 : 77 - 112
  • [4] On the Folkman-Lawrence topological representation theorem for oriented matroids of rank 3
    Bokowski, J
    Mock, S
    Streinu, I
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2001, 22 (05) : 601 - 615
  • [5] ALGEBRAIC AND TOPOLOGICAL INVARIANTS OF ORIENTED MATROIDS
    GELFAND, IM
    RYBNIKOV, GL
    [J]. DOKLADY AKADEMII NAUK SSSR, 1989, 307 (04): : 791 - 795
  • [6] A topological representation of matroids using graphs
    El Atik, Abd El Fattah
    Haroun, Sally
    [J]. INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE, 2022, 17 (03): : 1079 - 1086
  • [7] Oriented matroids for shape representation and indexing
    Staffetti, E
    Grau, A
    Serratosa, F
    Sanfeliu, A
    [J]. PATTERN RECOGNITION AND IMAGE ANALYSIS, PROCEEDINGS, 2003, 2652 : 1012 - 1019
  • [8] ORIENTED MATROIDS
    FOLKMAN, J
    LAWRENCE, J
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1978, 25 (02) : 199 - 236
  • [9] Modular elimination in matroids and oriented matroids
    Delucchi, Emanuele
    [J]. EUROPEAN JOURNAL OF COMBINATORICS, 2011, 32 (03) : 339 - 343
  • [10] AMPLE COMPLETIONS OF ORIENTED MATROIDS AND COMPLEXES OF UNIFORM ORIENTED MATROIDS
    Chepoi, Victor
    Knauer, Kolja
    Philibert, Manon
    [J]. SIAM JOURNAL ON DISCRETE MATHEMATICS, 2022, 36 (01) : 509 - 535