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On a Neighborhood Condition Implying the Existence of Disjoint Complete Graphs

โœ Scribed by Faudree, Ralph; Jacobson, Michael S.; Gould, Ronald J.; Lesniak, Linda


Book ID
123598713
Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
450 KB
Volume
10
Category
Article
ISSN
0195-6698

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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