English

The characteristic polynomial of agraph containing loops

Combinatorics 2021-06-16 v1

Abstract

In this article, we focus on the characteristic polynomial of a graph containingloops, but without multiple edges. We present a relationship between thecharacteristic polynomial of a graph with loops and the graph obtained byremoving all the loops. In turn, we compute the characteristic polynomial ofunitary addition Cayley graphs.

Keywords

Cite

@article{arxiv.2005.06903,
  title  = {The characteristic polynomial of agraph containing loops},
  author = {Deepa Sinha and Bableen Kaur and Thomas Zaslavsky},
  journal= {arXiv preprint arXiv:2005.06903},
  year   = {2021}
}

Comments

19 pp., 4 fig

R2 v1 2026-06-23T15:32:39.140Z