Girth of pancake graphs

被引：25
|
作者：
Compeau, Phillip E. C. [1 ]
机构：
[1] Davidson Coll, Dept Math, Davidson, NC 28035 USA
来源：
DISCRETE APPLIED MATHEMATICS | 2011年 / 159卷 / 15期
关键词：
Pancake graphs; Girth; Reversals; Breakpoints; REVERSALS;
D O I：
10.1016/j.dam.2011.06.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider four families of pancake graphs, which are Cayley graphs, whose vertex sets are either the symmetric group on n objects or the hyperoctahedral group on n objects and whose generating sets are either all reversals or all reversals inverting the first k elements (called prefix reversals). We find that the girth of each family of pancake graphs remains constant after some small threshold value of n. (C) 2011 Elsevier B.V. All rights reserved.
引用
收藏
页码：1641 / 1645
页数：5
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