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More on Equienergetic Threshold Graphs

Combinatorics 2018-07-03 v1

Abstract

The energy of a graph is defined as the sum the absolute values of the eigenvalues of its adjacency matrix. A threshold graph G on n vertices is coded by a binary sequence of length n. In this paper we answer a question posed by Jacobs et al. [Eigenvalues and energy in threshold graphs, Linear Algebra Appl. 465 (2015) 412-425], by giving an infinite sequences of threshold graphs having the same energy but differ to the complete graph's energy.

Keywords

Cite

@article{arxiv.1807.00627,
  title  = {More on Equienergetic Threshold Graphs},
  author = {Fernando Tura},
  journal= {arXiv preprint arXiv:1807.00627},
  year   = {2018}
}

Comments

7 pages, 1 figure

R2 v1 2026-06-23T02:48:04.712Z