Monophonic Distance Energy for Join of Some Graphs

Authors

  • V S Sinju Manohar Affiliated to Manonmaniam Sundaranar University
  • T Binu Selin Affiliated to Manonmaniam Sundaranar University

DOI:

https://doi.org/10.23755/rm.v45i0.979

Keywords:

Join, Monophonic distance energy.

Abstract

Let G be a connected graph with n vertices and m edges. Let µ1, µ2 ,..., µn be the Eigen values of distance matrix of G. The distance energy of a graph ED (G) = \sum_{i=1}^{p}\left|{\mu_i}^\ \right|,was already studied. We now define and investigate the monophonic distance energy as EM (G) = \sum_{i=1}^{n}\left|{\mu_i}^M\right|, where µ1M, µ2M..., µnM are the eigen values of monophonic distance matrix of graphs. In this paper we find the monophonic distance energy for join of some graphs.

References

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Published

2023-01-30

Issue

Vol. 45 (2023): Special Issue: Advances in Applied and Intellectual Mathematics

Section

Volume 44-2022

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