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Hamiltonian cycles of a connected graph

✍ Scribed by L. M. Likhtenbaum


Publisher
Springer US
Year
1968
Tongue
English
Weight
291 KB
Volume
4
Category
Article
ISSN
1573-8337

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We prove the following theorem. "I'neorem. If G is a balanced bipartite graph with bipartition (A, B), [A I = IBI = n, such that for any x ~ A, y ~ B, d(x) + d(y) >>-n + 2, then for any (nl, n2), ni >I 2, n -----n I + hE, G contains two independent cycles of lengths 2nl and 2n2.