More sufficient conditions for a graph to have factors Original Research Article

This paper explores the problem of finding degree constrained subgraphs (i.e. (g, f)-factors) of a given graph using fractional subgraphs as a basis. These fractional subgraphs are often easy to obtain by heuristics. We apply our results to generalize results of Kano, Bermond and Las Vergnas among others and extend the possibilities for included (or forced) edges and excluded edges.