Zero-divisor graph with seven vertices
Combinatorics
2015-02-24 v1
Abstract
Inspired by the work in \cite{sauer} regarding the classification of all the zero-divisor graphs with six vertices, we obtain all the zero-divisor graphs with seven vertices. Hence we classify all the zero-divisor commutative semigroups with 8 elements. We also obtain all the connected graphs with seven vertices which satisfies the necessary condition of zero-divisor graphs given in \cite{fl} but are not the zero-divisor graphs.
Cite
@article{arxiv.1502.06237,
title = {Zero-divisor graph with seven vertices},
author = {Xinyun Zhu},
journal= {arXiv preprint arXiv:1502.06237},
year = {2015}
}