Forbidding and enforcing on graphs

被引:3
|
作者
Genova, Daniela [2 ]
Jonoska, Natasa [1 ]
机构
[1] Univ S Florida, Dept Math & Stat, Tampa, FL 33620 USA
[2] Univ N Florida, Dept Math & Stat, Jacksonville, FL 32224 USA
基金
美国国家科学基金会;
关键词
Forbidding enforcing; fe-systems; Graphs; Subgraphs; k-regular; k-colorability;
D O I
10.1016/j.tcs.2011.12.029
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We define classes of graphs based on forbidding and enforcing boundary conditions. Forbidding conditions prevent a graph to have certain combinations of subgraphs and enforcing conditions impose certain subgraph structures. We say that a class of graphs is an fe-class if the class can be defined through forbidding and enforcing conditions (fe-system). We investigate properties of fe-systems and characterize familiar classes of graphs such as paths and cycles, trees, bi-partite, complete, Eulerian, and k-regular graphs as fe-classes. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:108 / 117
页数:10
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