Graph classes characterized both by forbidden subgraphs and degree sequences

被引：9

作者：

Barrus, Michael D. ^{[1
]}

Kumbhat, Mohit ^{[1
]}

Hartke, Stephen G. ^{[2
]}

机构：

[1] Univ Illinois, Dept Math, Urbana, IL 61801 USA

[2] Univ Nebraska, Dept Math, Lincoln, NE 68588 USA

来源：

JOURNAL OF GRAPH THEORY | 2008年 / 57卷 / 02期

关键词：

degree-sequence-forcing set; forbidden subgraphs; degree sequence characterization; 2-switch; potentially P-graphic; forcibly P-graphic;

D O I：

10.1002/jgt.20270

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Given a set F of graphs, a graph G is F-free if G does not contain any member of F as an induced subgraph. We say that F is a degree-sequence-forcing set if, for each graph G in the class C of F-free graphs, every realization of the degree sequence of G is also in C. We give a complete characterization of the degree-sequence-forcing sets F when F has cardinality at most two. (C) 2007 Wiley Periodicals, Inc.

引用

页码：131 / 148

页数：18

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