A characterization of acyclic switching classes of graphs using forbidden subgraphs

被引：3
|
作者：
Hage, J
Harju, T
机构：
[1] Univ Utrecht, Inst Comp & Informat Sci, NL-3508 TB Utrecht, Netherlands
[2] Univ Turku, Dept Math, FIN-20014 Turku, Finland
来源：
SIAM JOURNAL ON DISCRETE MATHEMATICS | 2004年 / 18卷 / 01期
关键词：
graph; switching class; Seidel switching; acyclic graph; trees; forbidden induced subgraph; critically cyclic graph;
D O I：
10.1137/S0895480100381890
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We characterize the switching classes that do not contain an acyclic graph. The characterization is by means of a set of forbidden induced subgraphs. We prove that in addition to switches of the cycles C-n for n greater than or equal to 7, there are only finitely many such graphs in 24 switching classes, all having at most 9 vertices. We give a representative of each of the 24 switching classes.
引用
收藏
页码：159 / 176
页数：18
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