关于闭影图的特征值

IF 1.2 Q2 MATHEMATICS, APPLIED

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY Pub Date : 2022-08-18 DOI:10.1080/09720529.2022.2060609

F. J. Campena, Melody Mae C. Lunar, Inseok Sung

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引用次数: 0

摘要

图的能量和d能量分别是图的邻接矩阵和距离矩阵的绝对值之和。2017年，S. Vaidya和K. Popat确定了连通图的阴影图的能量。本研究确定了闭影图的特征值和d特征值。由此，也确定了闭合阴影图的能量和距离能量。因此，当G为整数时，G的闭影图为整数，即图邻接矩阵的特征值均为整数。

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On the eigenvalues of closed shadow graphs

Abstract The energy and d-energy of a graph is the sum of the absolute values of the graphs’ adjacency and distance matrix respectively. In 2017, S. Vaidya and K. Popat determined the energy of a shadow graph of a connected graph. In this study we determine the eigenvalues and d-eigenvalues of a closed shadow graph. Thus, determining also the energy and distance energy of a closed shadow graph. As a consequence, the closed shadow graph of G is integral whenever G is integral, that is the eigenvalues of the adjacency matrix of the graph are all integers.

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来源期刊

JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY MATHEMATICS, APPLIED-

CiteScore

3.10

自引率

21.40%

发文量

126