## Abstract M. Matthews and D. Sumner have proved that of __G__ is a 2‐connected claw‐free graph of order __n__ such that δ ≧ (__n__ − 2)/3, then __G__ is hamiltonian. We prove that the bound for the minimum degree δ can be reduced to __n__/4 under the additional condition that __G__ is not in __F_
Hamiltonian cycles in 3-connected claw-free graphs
✍ Scribed by MingChu Li
- Publisher
- John Wiley and Sons
- Year
- 1993
- Tongue
- English
- Weight
- 437 KB
- Volume
- 17
- Category
- Article
- ISSN
- 0364-9024
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✦ Synopsis
Abstract
In this paper, we show that every 3‐connected claw‐free graph on n vertices with δ ≥ (n + 5)/5 is hamiltonian. © 1993 John Wiley & Sons, Inc.
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