Let a≥2 and t≥2 be two integers. Suppose that G is a 2-edge-connected graph of order |G|≥2(t+1)((a-2)t+a)+t-1 with minimum degree at least a. Then G has a 2-edge-connected [a,at]-factor if every pair of non-adjacent vertices has degree sum at least 2|G|/(1+t). This lower bound is sharp. As a consequence, we have Ore-type conditions for the existence of a 2-edge-connected [a,b]-factor in graphs.
- Connected factor
- |a, b|-factor
ASJC Scopus subject areas
- Discrete Mathematics and Combinatorics
- Theoretical Computer Science