paper

A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences

arXiv:1403.6307

Abstract

We give a sharp refinement of a result of Alon, Ben-Shimon and Krivelevich. This gives a sufficient condition for a finite sequence of positive integers to be the vertex degree list of both parts of a bipartite graph. The condition depends only on the length of the sequence and its largest and smallest elements.

arXiv comment9 pages