English

Complete multipartite graphs are determined by their distance spectra

Combinatorics 2013-07-24 v1

Abstract

It is well known that the complete multipartite graphs can not be determined by their adjacency spectra. But in this paper, we prove that they can be determined by their distance spectra, which confirms the conjecture proposed by Lin, Hong, Wang and Shu.

Keywords

Cite

@article{arxiv.1307.5931,
  title  = {Complete multipartite graphs are determined by their distance spectra},
  author = {Ya-Lei Jin and Xiao-Dong Zhang},
  journal= {arXiv preprint arXiv:1307.5931},
  year   = {2013}
}

Comments

8 pages

R2 v1 2026-06-22T00:55:57.620Z