Pentacyclic Harmonic Graph

IF 0.2 Q4 MATHEMATICS

Italian Journal of Pure and Applied Mathematics Pub Date : 2016-10-13 DOI:10.11648/J.PAMJ.20160505.15

Ahmad Salehi Zarrin Ghabaei, S. Azami

引用次数: 0

Abstract

Let be a graph on n vertices and let be the degree of vertex A graph is defined to be harmonic if is an eigenvector of the -adjacency matrix of We now show that there are 4 regular and 45 non-regular connected pentacyclic harmonic graphs and determine their structure. In the end we conclude that all of c-cyclic harmonic graphs for are planar graphs.

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五环调和图

设一个有n个顶点的图，设顶点的度a图被定义为调和图，如果它是邻接矩阵的特征向量，我们现在证明有4个规则和45个非规则连通的五环调和图，并确定它们的结构。最后得出了所有c环调和图都是平面图的结论。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Italian Journal of Pure and Applied Mathematics MATHEMATICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： The “Italian Journal of Pure and Applied Mathematics” publishes original research works containing significant results in the field of pure and applied mathematics.