We present sufficient conditions for the existence of a \(k\)-factor in a simple graph depending on \(\sigma_2(G)\) and the neighbourhood of independent sets in our first theorem and on \(\sigma_2(G)\) and \(\alpha(G)\) in the second one.
Citation
Ursula Lenkewitz, Lutz Volkmann. Neighbourhood and Degree Conditions for the Existence of Regular Factors[J], Ars Combinatoria, Volume 042. 33-47. .
