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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)

  1. A. Blinco, "On the cyclic decomposition of completegraphs into almost-bipartite graphs", 284, pp.71~81 (2004)
  2. M. Buratti, "Cyclic hamiltonian cycle systems of the complete graph", 279, pp.107~119 (2004)
  3. M. Buratti, "Existence of cyclick-cycle systems of the complete graph", 26, pp.113~225 (2003)
  4. H. Fu, "Cyclically decomposing the complete graphs into cycles", 282, pp.267~273 (2004)
  5. A. Kotzig, "On decompositions of the complete graph into 4k-gons", 15, pp.227~233 (1965)
  6. D. Sotteau, "m into cycles", pp.75~81 (1981)
  7. Wenwen Sun, "Cyclic Cycle Systems of the Complete BipartiteGraph Kn Journal of Combinatorial optimization"
  8. Wenwen Sun, "Cyclic m-Cycle Systems of Kn n for m · 30"
  9. A. Vietri, "Cyclic k-cycle systems of order 2kn+k: a solution of the last open cases", 12, pp.299~310 (2004)

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