Chordality and 2-factors in tough graphs

被引：12
|
作者：
Bauer, D [1 ]
Katona, GY
Kratsch, D
Veldman, HJ
机构：
[1] Stevens Inst Technol, Dept Math Sci, Hoboken, NJ 07030 USA
[2] Hungarian Acad Sci, Inst Math, H-1364 Budapest, Hungary
[3] Univ Jena, Fak Math & Informat, D-07740 Jena, Germany
[4] Univ Twente, Fac Appl Math, NL-7500 AE Enschede, Netherlands
来源：
DISCRETE APPLIED MATHEMATICS | 2000年 / 99卷 / 1-3期
关键词：
toughness; 2-factors; chordal graphs;
D O I：
10.1016/S0166-218X(99)00142-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A graph G is chordal if it contains no chordless cycle of length at least four and is k-chordal if a longest chordless cycle in G has length at most k. In this note it is proved that all 3/2-tough 5-chordal graphs have a 2-factor. This result is best possible in two ways. Examples due to Chvatal show that for all epsilon > 0 there exists a (3/2 - epsilon)-tough chordal graph with no 2-factor. Furthermore, examples due to Bauer and Schmeichel show that the result is false for 6-chordal graphs. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：323 / 329
页数：7
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