논문KCI 등재
Existence of cyclic 50-cycle systems of the complete bipartite graph K_n,n
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Abstract
Let Kn;n denote the complete bipartite with n vertices in each part.In this paper, necessary and sufficient conditions are determined for the existence of cyclic 50-cycle systems of Kn;n .
참고문헌 (9)
- A. Blinco, "On the cyclic decomposition of completegraphs into almost-bipartite graphs", 284, pp.71~81 (2004)
- M. Buratti, "Cyclic hamiltonian cycle systems of the complete graph", 279, pp.107~119 (2004)
- M. Buratti, "Existence of cyclick-cycle systems of the complete graph", 26, pp.113~225 (2003)
- H. Fu, "Cyclically decomposing the complete graphs into cycles", 282, pp.267~273 (2004)
- A. Kotzig, "On decompositions of the complete graph into 4k-gons", 15, pp.227~233 (1965)
- D. Sotteau, "m into cycles", pp.75~81 (1981)
- Wenwen Sun, "Cyclic Cycle Systems of the Complete BipartiteGraph Kn Journal of Combinatorial optimization"
- Wenwen Sun, "Cyclic m-Cycle Systems of Kn n for m · 30"
- A. Vietri, "Cyclic k-cycle systems of order 2kn+k: a solution of the last open cases", 12, pp.299~310 (2004)
관련 논문AI추천
Short track cyclic m-cycle systems of for K_n,n for m=0(mod 4)Y. Ji, Y. Zheng장전수학회 · Advanced Studies in Contemporary Mathematics2007 · 제14권 제1호Circulant Decompositions of Certain Multipartite Graphs into Gregarious Cycles of a Given Length조정래영남수학회 · East Asian Mathematical Journal2014 · 제30권 제3호A note on decomposition of complete equipartite graphs into gregarious $6$-cycles조정래대한수학회 · 대한수학회보2007 · 제44권 제4호ON DECOMPOSITIONS OF THE COMPLETE EQUIPARTITE GRAPHS Kkm(2t) INTO GREGARIOUS m-CYCLES김성근영남수학회 · East Asian Mathematical Journal2013 · 제29권 제3호A REMARK ON CIRCULANT DECOMPOSITIONS OF COMPLETE MULTIPARTITE GRAPHS BY GREGARIOUS CYCLES조정래영남수학회 · East Asian Mathematical Journal2017 · 제33권 제1호On the Basis Number of the Semi-Strong Product of Bipartite Graphs with CyclesMaref Y. Alzoubi, M. M. M. Jaradat경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제1호
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