Article ID Journal Published Year Pages File Type
4650908 Discrete Mathematics 2007 8 Pages PDF
Abstract

Let Cpn(a1,a2,…,ak,q1n,q2n,…,qmn)Cpn(a1,a2,…,ak,q1n,q2n,…,qmn) be a directed circulant graphs with pn   vertices and some non-fixed jumps, where 1⩽a1⩽a2⩽⋯⩽ak(⩽n-1)1⩽a1⩽a2⩽⋯⩽ak(⩽n-1),1⩽q1⩽q2⩽⋯⩽qm⩽p-1,1⩽q1⩽q2⩽⋯⩽qm⩽p-1, are fixed integers, and an integer n varies. In this paper, a formula, asymptotic behaviors and linear recurrence relations for the number of its spanning trees are obtained.

Related Topics
Physical Sciences and Engineering Mathematics Discrete Mathematics and Combinatorics
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