Matching in Toeplitz graphs

被引：0
|
作者：
Ramezani, F. [1 ,2 ]
Masouleh, M. Tale [1 ]
机构：
[1] KN Toosi Univ Technol, Dept Math, POB 16765-3381, Tehran, Iran
[2] Inst Res Fundamental Sci IPM, Sch Math, POB 19395-5746, Tehran, Iran
来源：
ARS COMBINATORIA | 2018年 / 141卷
关键词：
Toeplitz graphs; Matching number;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
For a sequence of positive integers n, t(1), t(2), . . . , t(k), with t(1), t(2), . . . , t(k) <= n - 1, the Toeplitz graph T-n < t(1), t(2), . . . , t(k)> is a graph on the vertex set {v(1), v(2), . . . , v(n)}, where the vertices v(i), v(j) are adjacent if and only if vertical bar i - j vertical bar is an element of {t(1), t(2), . . . , t(k)}. The matching number of a graph G, denoted by mu(G) is the size of a maximum matching in G. In this paper we introduce an algorithm to find a maximum matching in the graph T-n < s,t > for co-prime integers s, t, and discuss on the matching number of some families of Toeplitz graphs.
引用
收藏
页码：125 / 138
页数：14
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