Universal Graphs for Two Graph Properties

被引：0
|
作者：
Broere, Izak [1 ]
Vetrik, Tomas [1 ]
机构：
[1] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
来源：
ARS COMBINATORIA | 2014年 / 116卷
关键词：
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The graphs we consider are all countable. A graph U is universal in a given set P of graphs if every graph in P is an induced subgraph of U and U is an element of P. In this paper we show the existence of a universal graph in the set of all countable graphs with block order bounded by a fixed positive integer. We also investigate some classes of interval graphs and work towards finding universal graphs for them. The sets of graphs we consider are all examples of induced-hereditary graph properties.
引用
收藏
页码：257 / 262
页数：6
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