Several Methods for Generating Families of Orderenergetic, Integral and Equienergetic Graphs

IF 2.9 2区化学 Q2 CHEMISTRY, MULTIDISCIPLINARY

Match-Communications in Mathematical and in Computer Chemistry Pub Date : 2023-01-01 DOI:10.46793/match.89-3.665j

S. Joseph

引用次数: 0

Abstract

We define a general unary graph operation and give several applications of these operation in this paper. The adjacency matrix and the complete spectrum of the derived graphs are determined. Different methods for generating sequences of orderenergetic graphs from known orderenergetic graphs are described. Several methods are described for generating orderenergetic graphs from non-orderenergetic graphs. Methods for generating new families of integral graphs using this new operation are also discussed. It is also possible to generate infinite sequences of pair of equienergetic and non-cospectral graphs using this graph operation.

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生成有序能图、积分图和等能图族的几种方法

本文定义了一般一元图运算，并给出了这种运算的几种应用。确定了导出图的邻接矩阵和全谱。描述了从已知有序图生成有序图序列的不同方法。描述了几种从非有序图生成有序图的方法。讨论了利用这种新运算生成新的积分图族的方法。利用这种图运算，也可以生成无限序列的等能和非共谱图对。

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

Match-Communications in Mathematical and in Computer Chemistry 化学-化学综合

CiteScore

4.40

自引率

26.90%

发文量

审稿时长

2 months

期刊介绍： MATCH Communications in Mathematical and in Computer Chemistry publishes papers of original research as well as reviews on chemically important mathematical results and non-routine applications of mathematical techniques to chemical problems. A paper acceptable for publication must contain non-trivial mathematics or communicate non-routine computer-based procedures AND have a clear connection to chemistry. Papers are published without any processing or publication charge.