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On decomposition of r-partite graphs into edge-disjoint hamilton circuits

✍ Scribed by Renu Laskar; Bruce Auerbach


Publisher
Elsevier Science
Year
1976
Tongue
English
Weight
414 KB
Volume
14
Category
Article
ISSN
0012-365X

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✦ Synopsis


Let It'Qn; r) denote the complete s-partite graph Kin, n, '.., n). it is shown hzre that for all even n(r -I) 2, Kfn; P) is the union of n(r -'I)/2 of its Hamilton circrlits which are mutually edge-disjoint, and for all odd nfr -1) 3 1, K(n; P) is the union of b(P -f) -r,,rs f l t ii o I s amilton c.ircuite and a l-factor, all of which are mutually edge-disjoint . denote the complete graph on M vertices and the complete bipartiti graph on 32 vertices with n2 vertices in each vertex respctively. The following properties of Kn and


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