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On the seidel integral complete multipartite graphs

✍ Scribed by Sheng-mei Lv, Liang Wei, Hai-xing Zhao


Book ID
118792883
Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2012
Tongue
English
Weight
188 KB
Volume
28
Category
Article
ISSN
0168-9673

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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