On vertex-edge corona of graphs and its spectral polynomial
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DOI:
https://doi.org/10.26637/mjm1202/002Abstract
Given a graph \(G_1\), the vertex-corona (corona) and the edge-corona focus only on vertices and edges respectively, in forming the corona product with other graphs. In the present work, we define a new corona by considering both vertices and edges simultaneously in forming the corona aproduct with other graphs, called vertex-edge corona. Further, we study the spectral polynomial for the vertex-edge corona of three arbitrary graphs, followed by some corollaries related to regular graphs for their spectrum, energy and equienergetic graphs.
Keywords:
vertex-corona, edge-corona, vertex-edge corona, spectral polynomialMathematics Subject Classification:
05C50- Pages: 156-162
- Date Published: 01-04-2024
- Vol. 12 No. 02 (2024): Malaya Journal of Matematik (MJM)
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Copyright (c) 2024 Daneshwari Patil, Harishchandra S. Ramane
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