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A SUFFICIENT CONDITION FOR A PAIR OF SEQUENCES TO BE BIPARTITE GRAPHIC

Part of: Graph theory

Published online by Cambridge University Press:  25 April 2016

GRANT CAIRNS ,
STACEY MENDAN  and
YURI NIKOLAYEVSKY
GRANT CAIRNS
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia email G.Cairns@latrobe.edu.au
STACEY MENDAN
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia email spmendan@students.latrobe.edu.au
YURI NIKOLAYEVSKY*
Affiliation:
Department of Mathematics and Statistics, La Trobe University, Melbourne 3086, Australia email Y.Nikolayevsky@latrobe.edu.au
*
✉Y.Nikolayevsky@latrobe.edu.au
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Abstract

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We present a sufficient condition for a pair of finite integer sequences to be degree sequences of a bipartite graph, based only on the lengths of the sequences and their largest and smallest elements.

Keywords

bipartite graphdegree sequence

MSC classification

Primary: 05C07: Vertex degrees
Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 94 , Issue 2 , October 2016 , pp. 195 - 200
Copyright
© 2016 Australian Mathematical Publishing Association Inc. 

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