A degree condition for the existence of k‐factors
Tsuyoshi Nishimura · Journal of Graph Theory · 1992
Abstract Let k be an integer such that ≦, and let G be a connected graph of order n with ≦, kn even, and minimum degree at least k. We prove that if G satisfies max(deg(u), deg(v)) ≦ n/2 for each pair of nonadjacent vertices u, v in G, then G has a k‐factor.