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arXiv · 2205.05100

Bounds on Path Energy of Graphs

Amol P. Narke·Prashant P. Malavadkar·Maruti M. Shikare
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Abstract

Given a graph $M,$ path eigenvalues are eigenvalues of its path matrix. The path energy of a simple graph $M$ is equal to the sum of the absolute values of the path eigenvalues of the graph $M$ (Shikare et. al, 2018). We have discovered new upper constraints on path energy in this study, expressed in terms of a graph's maximum degree. Additionally, a relationship between a graph's energy and path energy is given.

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Amol P. Narke, Prashant P. Malavadkar, Maruti M. Shikare. 2024-05-23. Bounds on Path Energy of Graphs. https://arxiv.org/abs/2205.05100

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