Abstract : We conjecture Ore and Erdős type criteria for a balanced bipartite graph of order 2n to contain a long cycle C(2n-2k), where 0 <= k < n/2. For k = 0, these are the classical hamiltonicity criteria of Moon and Moser. The main two results of the paper assert that our conjectures hold for k = 1 as well.
https://hal.inria.fr/hal-00988209
Contributeur : Service Ist Inria Sophia Antipolis-Méditerranée / I3s
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Soumis le : mercredi 7 mai 2014 - 16:20:26
Dernière modification le : jeudi 4 octobre 2018 - 22:12:02
Document(s) archivé(s) le : jeudi 7 août 2014 - 11:36:37
Janusz Adamus, Lech Adamus. Ore and Erdős type conditions for long cycles in balanced bipartite graphs. Discrete Mathematics and Theoretical Computer Science, DMTCS, 2009, 11 (2), pp.57--69. 〈hal-00988209〉
