Bounds on Path Energy of Graphs

Bounds on Path Energy of Graphs

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 i...

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Hauptverfasser: Narke, Amol P, Malavadkar, Prashant P, Shikare, Maruti M
Format: Artikel
Sprache:eng
Schlagworte:
Computer Science - Discrete Mathematics
Mathematics - Combinatorics
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Zusammenfassung: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.
DOI:10.48550/arxiv.2205.05100