On the Spectral-Equipartite Graphs and Eccentricity-Equipartite Graphs

Authors

  • Arnel M. Yurfo
  • Joel G. Adanza
  • Michael Jr. Patula Baldado Negros Oriental State University

DOI:

https://doi.org/10.29020/nybg.ejpam.v14i2.3928

Keywords:

spectral-equipartite, eccentricity-equipartite, isospectral

Abstract

Let G = (V, E) be a graph of order 2n. If A ⊆ V and hAi ∼= hV \Ai, then A is said to be isospectral. If for every n-element subset A of V we have hAi ∼= hV \Ai, then we say that G is spectral-equipartite. In [1], Igor Shparlinski communicated with Bibak et al., proposing a full characterization of spectral-equipartite graphs. In this paper, we gave a characterization of disconnected spectral-equipartite graphs. Moreover, we introduced the concept eccentricity-equipartite graphs.

Author Biography

Michael Jr. Patula Baldado, Negros Oriental State University

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How to Cite

Yurfo, A. M., Adanza, J. G., & Baldado, M. J. P. (2021). On the Spectral-Equipartite Graphs and Eccentricity-Equipartite Graphs. European Journal of Pure and Applied Mathematics, 14(2), 358–365. https://doi.org/10.29020/nybg.ejpam.v14i2.3928