若干图的度和指数距离能

IF 0.3 Q4 MATHEMATICS
Jeetendra Gurjar, S. Jog
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引用次数: 0

摘要

图G的度和指数距离矩阵M(G)是一个方阵,它的(i,j)第一个元素是(di+dj)^ d(ij)当i不等于j时,否则它是零,其中di是G的第i个顶点的度d(ij)=d(vi,vj)是vi和vj之间的距离。本文将度和指数距离能E(G)定义为M(G)的绝对特征值和。此外,我们还得到了一些图的度和指数距离能量的一些界,并推导了一些图的直接表达式。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Degree Sum Exponent Distance Energy of Some Graphs
The degree sum exponent distance matrix M(G) of a graph G is a square matrix whose (i,j)-th entry is (di+dj)^ d(ij) whenever i not equal to j, otherwise it is zero, where di is the degree of i-th vertex of G and d(ij)=d(vi,vj) is distance between vi and vj. In this paper, we define degree sum exponent distance energy E(G) as sum of absolute eigenvalues of M(G). Also, we obtain some bounds on the degree sum exponent distance energy of some graphs and deduce direct  expressions for some graphs.
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来源期刊
CiteScore
0.70
自引率
33.30%
发文量
20
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