## Abstract It is proved that for every positive integers __k__, __r__ and __s__ there exists an integer __n__β=β__n__(__k__,__r__,__s__) such that every __k__βconnected graph of order at least __n__ contains either an induced path of length __s__ or a subdivision of the complete bipartite graph __
β¦ LIBER β¦
On enumerating paths of K arcs in unoriented complete graphs
β Scribed by Eugene Rawdin; S.D. Bedrosian
- Publisher
- Elsevier Science
- Year
- 1975
- Tongue
- English
- Weight
- 248 KB
- Volume
- 299
- Category
- Article
- ISSN
- 0016-0032
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In this paper we use Tutte's f-factor theorem and the method of amalgamations to find necessary and sufficient conditions for the existence of a k-factor in the complete multipartite graph K(p(1 ) ..... p(n)), conditions that are reminiscent of the Erd6s-Gallai conditions for the existence of simple