INCIDENCE ENERGY OF SUBGRAPH COMPLEMENTS OF GRAPHS
Document Type
Article
Publication Title
International Journal of Applied Mathematics
Abstract
Incidence energy of the graph G, denoted by IE(G), is defined as the sum of the singular values of its incidence matrix. The notion of incidence energy of subgraph complements of a graph has been proposed in this study. The expression for the sum of singular values and eigenvalues of [I(G ⊕ S)] and [I(G ⊕ S)][I(G ⊕ S)]T, respectively has been obtained. Additionally, we have noted the changes in the trace of [I(G ⊕ S)][I(G ⊕ S)]T upon deleting an edge of G ⊕ S. We have characterized incidence energy of subgraph complement of Pn and K1, n−1 and also, obtained some bounds for incidence energy of subgraph complements of a graph. The incidence energy of subgraph complement of complete graph, complete bipartite graph and star has been computed.
First Page
597
Last Page
613
DOI
10.12732/ijam.v37i6.3
Publication Date
1-1-2024
Recommended Citation
Madhumitha, K. V.; Harshitha, A.; D’Souza, Sabitha; and Nayak, Swati, "INCIDENCE ENERGY OF SUBGRAPH COMPLEMENTS OF GRAPHS" (2024). Open Access archive. 10573.
https://impressions.manipal.edu/open-access-archive/10573
