A matroid generalization of a result of Dirac

被引：7

作者：

Oxley, J

机构：

[1] Department of Mathematics, Louisiana State University, Baton Rouge

来源：

COMBINATORICA | 1997年 / 17卷 / 02期

关键词：

05B35; 05C40;

D O I：

10.1007/BF01200909

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper generalizes a theorem of Dirac for graphs by proving that if M is a 3-connected matroid, then, for all pairs {a, b} of distinct elements of M and all cocircuits C* of M, there is a circuit that contains {a, b} and meets C*. It is also shown that, although the converse of this result fails, the specified condition call be used to characterize 3-connected matroids.

引用

页码：267 / 273

页数：7

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