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Arithmetic properties of bipartitions with even parts distinct

✍ Scribed by Bernard L. S. Lin

Book ID: 120762574
Publisher: Springer US
Year: 2013
Tongue: English
Weight: 388 KB
Volume: 33
Category: Article
ISSN: 1382-4090
DOI: 10.1007/s11139-013-9473-3

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## Abstract Let __G__ = (__X, Y, E__) be a bipartite graph with __X__ = __Y__ = __n__. Chvátal gave a condition on the vertex degrees of __X__ and __Y__ which implies that __G__ contains a Hamiltonian cycle. It is proved here that this condition also implies that __G__ contains cycles of every even