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Remarks on Q-integral complete multipartite graphs

✍ Scribed by Pokorný, Milan; Híc, Pavel; Stevanović, Dragan


Book ID
123177618
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
235 KB
Volume
439
Category
Article
ISSN
0024-3795

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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