### 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 |
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Pages (from-to) | 225-234 |

Number of pages | 10 |

Journal | Discrete Mathematics |

Volume | 296 |

Issue number | 2-3 |

DOIs | |

Publication status | Published - 2005 Jul 6 |

Externally published | Yes |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Discrete Mathematics and Combinatorics
- Theoretical Computer Science

### Cite this

**On 2-edge-connected |a, b|-factors of graphs with Ore-type condition.** / Matsuda, Haruhide.

Research output: Contribution to journal › Article

*Discrete Mathematics*, vol. 296, no. 2-3, pp. 225-234. https://doi.org/10.1016/j.disc.2005.01.004

}

TY - JOUR

T1 - On 2-edge-connected |a, b|-factors of graphs with Ore-type condition

AU - Matsuda, Haruhide

PY - 2005/7/6

Y1 - 2005/7/6

N2 - 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.

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.

KW - Connected factor

KW - Factor

KW - Graph

KW - Ore-type

KW - |a, b|-factor

UR - http://www.scopus.com/inward/record.url?scp=22144476190&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=22144476190&partnerID=8YFLogxK

U2 - 10.1016/j.disc.2005.01.004

DO - 10.1016/j.disc.2005.01.004

M3 - Article

VL - 296

SP - 225

EP - 234

JO - Discrete Mathematics

JF - Discrete Mathematics

SN - 0012-365X

IS - 2-3

ER -