期刊名称：AKCE International Journal of Graphs and Combinatorics
印刷版ISSN：0972-8600
出版年度：2019
卷号：16
期号：1
页码：41-49
DOI：10.1016/j.akcej.2018.06.006
语种：English
出版社：Elsevier
摘要：AbstractSemigraph is a generalization of graph. We introduce the concept of energy in a semigraph in two ways, one, the matrix energyEm, as summation of singular values of the adjacency matrix of a semigraph, and the other, polynomial energyEre, as energy of the characteristic polynomial of the adjacency matrix. We obtain some bounds forEmand show thatEmis never a square root of an odd integer andErecannot be an odd integer. We investigate matrix energy of a partial semigraph and change in the matrix energy due to edge deletion.
关键词：KeywordsSemigraphMatrix energy of a semigraphPolynomial energy of a semigraphEdge induced complete semigraphEdge induced complete closure
