A note on chain lengths and the Tutte polynomial

被引：2
|
作者：
Read, Ronald C. [1 ]
Whitehead, Earl Glen, Jr. [2 ]
机构：
[1] Univ Waterloo, Dept Combinator & Optimizat, Waterloo, ON N2L 3G1, Canada
[2] Univ Pittsburgh, Dept Math, Pittsburgh, PA 15260 USA
来源：
DISCRETE MATHEMATICS | 2008年 / 308卷 / 10期
关键词：
Tutte polynomial; homeomorphic graphs; Tutte-equivalent graphs; Tutte-unique graphs; s-Theta-graphs;
D O I：
10.1016/j.disc.2006.09.049
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that the number of chains of given length in a graph G can be easily found from the Tutte polynomial of G. Hence two Tutte-equivalent graphs will have the same distribution of chain lengths. We give two applications of this latter statement. We also give the dual results for the numbers of multiple edges with given muliplicities. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：1826 / 1829
页数：4
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