English

Adjacency Spectra of Semigraphs

Spectral Theory 2022-05-03 v1

Abstract

In this paper, we define the adjacency matrix of a semigraph. We give the conditions for a matrix to be semigraphical and give an algorithm to construct a semigraph from the semigraphical matrices. We derive lower and upper bounds for largest eigenvalues. We study the eigenvalues of adjacency matrix of two types of star semigraphs.

Keywords

Cite

@article{arxiv.2205.00715,
  title  = {Adjacency Spectra of Semigraphs},
  author = {Pralhad M. Shinde},
  journal= {arXiv preprint arXiv:2205.00715},
  year   = {2022}
}

Comments

22 pages, 9 figures

R2 v1 2026-06-24T11:04:23.636Z