Treewidth of the Kneser Graph and the Erdos-Ko-Rado Theorem

被引：0

作者：

Harvey, Daniel J. ^{[1
]}

Wood, David R. ^{[2
]}

机构：

[1] Univ Melbourne, Dept Math & Stat, Melbourne, Vic, Australia

[2] Monash Univ, Sch Math Sci, Melbourne, Vic 3004, Australia

来源：

ELECTRONIC JOURNAL OF COMBINATORICS | 2014年 / 21卷 / 01期

基金：

澳大利亚研究理事会;

关键词：

graph theory; Kneser graph; treewidth; separators; Erdos-Ko-Rado; INTERSECTING FAMILIES; SETS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Treewidth is an important and well-known graph parameter that measures the complexity of a graph. The Kneser graph Kneser(n, k) is the graph with vertex set (([n])(k)), such that two vertices are adjacent if they are disjoint. We determine, for large values of n with respect to k, the exact treewidth of the Kneser graph. In the process of doing so, we also prove a strengthening of the Erdos-Ko-Rado Theorem (for large n with respect to k) when a number of disjoint pairs of k-sets are allowed.

引用

页数：11

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