Recursive constructions of small regular graphs of given degree and girth

被引：10
|
作者：
Exoo, Geoffrey [1 ]
Jajcay, Robert [1 ]
机构：
[1] Indiana State Univ, Dept Math & Comp Sci, Terre Haute, IN 47809 USA
来源：
DISCRETE MATHEMATICS | 2012年 / 312卷 / 17期
关键词：
Cage; Recursive construction; Geometric graph; Paley graph; Cayley map; CAYLEY MAPS;
D O I：
10.1016/j.disc.2011.10.021
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We revisit and generalize a recursive construction due to Sachs involving two graphs which increases the girth of one graph and the degree of the other. We investigate the properties of the resulting graphs in the context of cages and construct families of small graphs using geometric graphs, Paley graphs, and techniques from the theory of Cayley maps. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：2612 / 2619
页数：8
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