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In [8], it is shown that the complete multipartite graphK n (2t)having n partite sets of size 2t, wheren 6 and t 1, has a decompo-sition into gregarious 6-cycles ifn 0;1;3 or 4 (mod 6). Here, a cycleis called gregarious if it has at most one vertex from any particular par-tite set. In this paper, whenn 0 or 3 (mod 6), another method usingdierence set is presented. Furthermore, whenn 0 (mod 6), the de-composition obtained in this paper is 1 -circular, in the sense that it isinvariant under the mapping which keeps the partite set which is indexedby 1 xed and permutes the remaining partite sets cyclically.
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참고문헌 (10)
참고문헌 신청
/ / A dierence set method for cir-cular decompositions of complete mutipartite graphs into gregarious 4-cycles
/ / Decompositions of complete multipartite graphs into gregar-ious 6-cycles using dierence sets To appear in J A NOTE ON DECOMPOSITION OF COMPLETE EQUIPARTITE GRAPHS 719
/ / Resolvable gregarious cycle decompo-sitions of complete equipartite graphs
/ 2000 / A generalization of the Oberwolfach problem and Ct-factorizations of completeequipartite graphs 8 (1) : 42 ~ 49
/ 2000 / Decomposition of complete multipartite graphs intocycles of even length 16 (1) : 49 ~ 65
/ / Decompositions of complete multipartite graphs into gregar-ious 6-cycles using dierence sets To appear in J A NOTE ON DECOMPOSITION OF COMPLETE EQUIPARTITE GRAPHS 719
/ / Resolvable gregarious cycle decompo-sitions of complete equipartite graphs
/ 2000 / A generalization of the Oberwolfach problem and Ct-factorizations of completeequipartite graphs 8 (1) : 42 ~ 49
/ 2000 / Decomposition of complete multipartite graphs intocycles of even length 16 (1) : 49 ~ 65
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