On Partition Energy of Lexicographic Product of Regular Graphs

Authors

  • D. P. Pushpa, S. V. Roopa, M. A. Sriraj Department of Mathematics, The National Institute of Engineering, (Autonomous under Visvesvaraya Technological University) Mysuru, Author

Abstract

The partition energy Pk(G) is defined as the sum of absolute values of k-partition eigenvalues of G. In this paper, we consider two regular graphs G and H with n and m vertices respectively and construct lexicographic product G[H] and G[H1], where H1 = H∇K1. We investigate the spectra and hence energy with respect to a partition Pn of these graphs and their generalized complements, which relate to the 1-partition energies of the factor graphs H providing a deeper understanding of their combined spectral characteristics. Further more, we construct graphs which are equienergetic with respect to partition Pn.

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Published

2025-09-01

How to Cite

On Partition Energy of Lexicographic Product of Regular Graphs. (2025). IAENG International Journal of Applied Mathematics, 55(9), 2999-3005. https://ijesworld.com/index.php/IEANG/article/view/79