On the eigenvalues of closed shadow graphs

被引：0
|
作者：
Campena, Francis Joseph H. [1 ]
Lunar, Melody Mae C. [1 ]
Sung, Inseok [1 ]
机构：
[1] De La Salle Univ, Coll Sci, Dept Math & Stat, 2401 Taft Ave, Manila 1004, Metro Manila, Philippines
来源：
JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY | 2022年 / 25卷 / 06期
关键词：
Distance eigenvalue; Integral graphs; Graph spectra; Graph energy; ENERGY;
D O I：
10.1080/09720529.2022.2060609
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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 dosed shadow graph of G is integral whenever G is integral, that is the eigenvalues of the adjacency matrix of the graph are all integers.
引用
收藏
页码：1937 / 1944
页数：8
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