AXIOMATIZING SIMPLE BINARY MATROIDS BY THEIR CLOSED CIRCUITS

被引：3
|
作者：
WILD, M
机构：
[1] Department of Mathematics, M.I.T. Cambridge
来源：
APPLIED MATHEMATICS LETTERS | 1993年 / 6卷 / 06期
关键词：
D O I：
10.1016/0893-9659(93)90075-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
It is shown that a simple binary matroid is already uniquely determined by its family of closed circuits.
引用
收藏
页码：39 / 40
页数：2
相关论文
共 50 条
  • [1] Removable circuits in binary matroids
    Goddyn, LA
    Jackson, B
    [J]. COMBINATORICS PROBABILITY & COMPUTING, 1999, 8 (06): : 539 - 545
  • [2] ODD CIRCUITS IN DENSE BINARY MATROIDS
    Geelen, Jim
    Nelson, Peter
    [J]. COMBINATORICA, 2017, 37 (01) : 41 - 47
  • [3] Peripheral circuits in infinite binary matroids
    Bowler, N.
    Christian, R.
    Richter, R. B.
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 2019, 134 : 285 - 308
  • [4] Odd circuits in dense binary matroids
    Jim Geelen
    Peter Nelson
    [J]. Combinatorica, 2017, 37 : 41 - 47
  • [5] FUNDAMENTAL CIRCUITS AND A CHARACTERIZATION OF BINARY MATROIDS
    LASVERGNAS, M
    [J]. DISCRETE MATHEMATICS, 1980, 31 (03) : 327 - 327
  • [6] Intersections of circuits and cocircuits in binary matroids
    Kingan, SR
    [J]. DISCRETE MATHEMATICS, 1999, 195 (1-3) : 157 - 165
  • [7] Rainbow and monochromatic circuits and cocircuits in binary matroids
    Berczi, Kristof
    Schwarcz, Tamas
    [J]. DISCRETE MATHEMATICS, 2022, 345 (06)
  • [8] The binary matroids whose only odd circuits are triangles
    Oxley, James
    Wetzler, Kristen
    [J]. ADVANCES IN APPLIED MATHEMATICS, 2016, 76 : 34 - 38
  • [9] Removing circuits in 3-connected binary matroids
    Cordovil, Raul
    Maia, Braulio, Jr.
    Lemose, Manoel
    [J]. DISCRETE MATHEMATICS, 2009, 309 (04) : 655 - 665
  • [10] Large circuits in binary matroids of large cogirth, I
    Hochstattler, W
    Jackson, B
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1998, 74 (01) : 35 - 52
12345