Some conditions for the existence of <i>f</i>‐factors

Abstract

Abstract Let m, l, n be three odd integers such that m &gt; l &gt; n. It is proved that if a graph G has an m ‐factor and an n ‐factor, then it also has an l ‐factor. In addition, we obtain sufficient conditions for the existence of an f ‐factor, in terms of vertex‐deleted subgraphs.