## Abstract A graph is said to be __K__~1,__n__~βfree, if it contains no __K__~1,__n__~ as an induced subgraph. We prove that for __n__ β©Ύ 3 and __r__ β©Ύ __n__ β1, if __G__ is a __K__~1,__n__~βfree graph with minimum degree at least (__n__^2^/4(__n__ β1))__r__ + (3__n__ β6)/2 + (__n__ β1)/4__r__, the
Regular factors in K1,3-free graphs
β Scribed by S. A. Choudum; M. S. Paulraj
- Publisher
- John Wiley and Sons
- Year
- 1991
- Tongue
- English
- Weight
- 247 KB
- Volume
- 15
- Category
- Article
- ISSN
- 0364-9024
No coin nor oath required. For personal study only.
β¦ Synopsis
Abstract
We show that every connected K~1,3~βfree graph with minimum degree at least 2k contains a kβfactor and construct connected K~1,3~βfree graphs with minimum degree k + 0(βk) that have no kβfactor.
π SIMILAR VOLUMES
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