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논문 기본 정보
- 자료유형
- 학술저널
- 저자정보
- 발행연도
- 2017.1
- 수록면
- 67 - 74 (8page)
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Let k, m and t be positive integers with m ≥ 4 and even. It is shown that Kkm+1(2t) has a decomposition into gregarious m-cycles. Also, it is shown that Kkm(2t) has a decomposition into gregarious m-cycles if(m−1)2+3 < k. In this article, we make a remark that the decompositions 4mcan be circulant in the sense that it is preserved by the cyclic permutation of the partite sets, and we will exhibit it by examples.
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참고문헌 (19)
참고문헌 신청
B. Alspach / 2001 / Cycle decompositions of Kn and Kn -I / J. Combin. Theory Ser. B 81 : 77 ~ 99
B. R. Smith / 2008 / Decomposing complete equipartite graphs into cycles of length 2p / J. Combin. Des 16 (3) : 244 ~ 252
B. R. Smith / 2009 / Complete equipartite 3p -cycle systems / Australas. J. Combin 45 : 125 ~ 138
B. R. Smith / 2012 / Decomposing complete equipartite graphs into odd square-length cycles: number of parts even / Discrete Math 312 (10) : 1611 ~ 1622
D. Sotteau / 1981 / Decomposition of Km;n (K*m;n) into cycles (circuits) of length 2k / J. Com-bin. Theory Ser B 30 : 75 ~ 81
B. R. Smith / 2008 / Decomposing complete equipartite graphs into cycles of length 2p / J. Combin. Des 16 (3) : 244 ~ 252
B. R. Smith / 2009 / Complete equipartite 3p -cycle systems / Australas. J. Combin 45 : 125 ~ 138
B. R. Smith / 2012 / Decomposing complete equipartite graphs into odd square-length cycles: number of parts even / Discrete Math 312 (10) : 1611 ~ 1622
D. Sotteau / 1981 / Decomposition of Km;n (K*m;n) into cycles (circuits) of length 2k / J. Com-bin. Theory Ser B 30 : 75 ~ 81
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