Label incidence energy of partial edge labeled graph

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Let G = (V,E) be a simple graph with vertex set V = {ν1, ν2, ⋯, νn} and edge set E = {e1, e2, ⋯, em}. The label incidence matrix Bι(G) of G is the n × m matrix whose (i, j)-entry is a if 0 labeled edge incident to 0 labeled vertex, 6 if 1 labeled edge incident to 1 labeled vertex, c if unlabeled edge incident to 0 or 1 labeled vertex and 0 otherwise. The label incidence energy IEι(G) is the sum of the singular values of Bι(G). In this paper we give lower and upper bounds for IEι(G) in terms of graph parameters and we study label incidence energy of some families of graph.

Original languageEnglish
Pages (from-to)113-123
Number of pages11
JournalProceedings of the Jangjeon Mathematical Society
Issue number1
Publication statusPublished - 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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