Perfect binary matroids

被引:0
作者
Mills, AD [1 ]
机构
[1] Tennessee Technol Univ, Dept Math, Cookeville, TN 38505 USA
关键词
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In this paper a definition of perfect binary matroids is considered and it is shown that, analogous to the Perfect Graph Theorem of Lovasz and Fulkerson, the complement of a perfect matroid is also a perfect matroid. In addition, the classes of critically imperfect graphic matroids and critically imperfect graphs are compared.
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页码:97 / 107
页数:11
相关论文
共 9 条
  • [1] Berge C., 1961, Wissenchaftliche Zeitschrift, Martin Luther Univ. Halle-Wittenberg, P114
  • [2] BRYLAWSKI T, 1975, T AM MATH SOC, V203, P1
  • [3] Brylawski Thomas, 1992, MATROID APPL, V40, P123
  • [4] Crapo HH., 1970, FDN COMBINATORIAL TH
  • [5] Fulkerson D. R., 1971, MATH PROGRAM, V1, P168, DOI [DOI 10.1007/BF01584085, 10.1007/BF01584085]
  • [6] Lovasz L., 1972, DISCRETE MATH, V2, P253, DOI DOI 10.1016/0012-365X(72)90006-4
  • [7] Oxley J., 1993, MATROID THEORY
  • [8] CRITICAL PERFECT GRAPHS AND PERFECT 3-CHROMATIC GRAPHS
    TUCKER, A
    [J]. JOURNAL OF COMBINATORIAL THEORY SERIES B, 1977, 23 (01) : 143 - 149
  • [9] ZASLAVSKY T, 1987, COMBINATORIAL GEOMET, P114