English

Counterexamples to a conjecture of Balasubramanian and Parthasarathy

Combinatorics 2017-05-25 v1

Abstract

In 1980, Balasubramanian and Parthasarathy introduced the bivariate permanent polynomials of graphs and conjectured that this graph polynomial is a graph characterising polynomial, that is, any two graphs with the same bivariate permanent polynomial are isomorphic. In this note, we give counter examples to this conjecture.

Keywords

Cite

@article{arxiv.1502.01886,
  title  = {Counterexamples to a conjecture of Balasubramanian and Parthasarathy},
  author = {Shunyi Liu},
  journal= {arXiv preprint arXiv:1502.01886},
  year   = {2017}
}

Comments

5 pages, 1 figure