Signed degree sets in signed bipartite graphs
Combinatorics
2007-05-23 v2
Abstract
A signed bipartite graph G(U, V) is a bipartite graph in which each edge is assigned a positive or a negative sign. The signed degree of a vertex x in G(U, V) is the number of positive edges incident with x less the number of negative edges incident with x. The set S of distinct signed degrees of the vertices of G(U, V) is called its signed degree set. In this paper, we prove that every set of integers is the signed degree set of some connected signed bipartite graph. \medskip \medskip
Keywords
Cite
@article{arxiv.math/0609122,
title = {Signed degree sets in signed bipartite graphs},
author = {S. Pirzada and T. A. Naikoo and F. A. Dar},
journal= {arXiv preprint arXiv:math/0609122},
year = {2007}
}