• Corpus ID: 3105086

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

@article{Cairns2014ASR,
title={A sharp refinement of a result of Alon, Ben-Shimon and Krivelevich on bipartite graph vertex sequences},
author={Grant Cairns and Stacey Mendan and Yury Nikolayevsky},
journal={Australas. J Comb.},
year={2014},
volume={60},
pages={217-226}
}
• Published 1 March 2014
• Mathematics
• Australas. J Comb.
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.
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