# On 2-edge-connected |a, b|-factors of graphs with Ore-type condition

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3 Citations (Scopus)

### Abstract

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.

Original language English 225-234 10 Discrete Mathematics 296 2-3 https://doi.org/10.1016/j.disc.2005.01.004 Published - 2005 Jul 6 Yes

Ores

### Keywords

• Connected factor
• Factor
• Graph
• Ore-type
• |a, b|-factor

### ASJC Scopus subject areas

• Discrete Mathematics and Combinatorics
• Theoretical Computer Science

### Cite this

In: Discrete Mathematics, Vol. 296, No. 2-3, 06.07.2005, p. 225-234.

Research output: Contribution to journalArticle

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AB - 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.

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