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On the Spectrum of a Complete Multipartite Graph

✍ Scribed by Esser, Friedrich; Harary, Frank


Book ID
123217578
Publisher
Elsevier Science
Year
1980
Tongue
English
Weight
522 KB
Volume
1
Category
Article
ISSN
0195-6698

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## Necessary conditions for IK(n, r), the complete multipartite graph with r parts of size n in which each edge has multiplicity 1, to have a P,-factorization are nr=O(mod k) and i(r-l)kn=O(mod2(k-1)). We show that when n=O(modk) or r=O(modk), these two conditions are also sufficient. (This impli