Best monotone degree conditions for graph properties: a survey

Bauer, D.; Broersma, H. J.; van den Heuvel, JanORCID logo; Kahl, N.; Nevo, A.; Schmeichel, E.; Woodall, D. R.; and Yatauro, M. (2014) Best monotone degree conditions for graph properties: a survey. Graphs and Combinatorics, 31 (1). ISSN 0911-0119
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We survey sufficient degree conditions, for a variety of graph properties, that are best possible in the same sense that Chvátal’s well-known degree condition for hamiltonicity is best possible.

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