An Erdos-Gallai Theorem for Matroids

被引：1

作者：

McGuinness, Sean ^{[1
]}

机构：

[1] Thompson Rivers Univ, Dept Math, Kamloops, BC V2C 5N3, Canada

来源：

ANNALS OF COMBINATORICS | 2012年 / 16卷 / 01期

关键词：

matroid; binary matroid; minor;

D O I：

10.1007/s00026-011-0123-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Erdos and Gallai showed that for any simple graph with n vertices and circumference c it holds that |E(G)| <= 1/2 (n-1)c. We extend this theorem to simple binary matroids having no F-7-minor by showing that for such a matroid M with circumference c(M) >= 3 it holds that E(G)| <= 1/2 r(M)c(M).

引用

页码：107 / 119

页数：13

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