A New Chvátal Type Condition for Pancyclicity |
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Authors: | Ladislav Stacho |
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Institution: | 1. Institute for Informatics, Slovak Academy of Sciences, P.O. Box 56, Dúbravská Cesta, 9,840 00, Bratislava 4, Slovakia
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Abstract: | Schmeichel and Hakimi 5], and Bauer and Schmeichel 1] gave an evidence in support of the well-known Bondy’s “metaconjecture” that almost any non-trivial condition on graphs which implies that the graph is hamiltonian also implies that it is pancyclic. In particular, they proved that the metaconjecture is valid for Chvátal’s condition 3]. We slightly generalize their results giving a new Chvâtal type condition for pancyclicity. |
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