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Maximum cyclic 4-cycle packings of the complete multipartite graph

Author

Listed:
  • Shung-Liang Wu

    (National United University)

  • Hung-Lin Fu

    (National Chaio Tung University)

Abstract

A graph G is said to be m-sufficient if m is not exceeding the order of G, each vertex of G is of even degree, and the number of edges in G is a multiple of m. A complete multipartite graph is balanced if each of its partite sets has the same size. In this paper it is proved that the complete multipartite graph G can be decomposed into 4-cycles cyclically if and only if G is balanced and 4-sufficient. Moreover, the problem of finding a maximum cyclic packing of the complete multipartite graph with 4-cycles are also presented.

Suggested Citation

  • Shung-Liang Wu & Hung-Lin Fu, 2007. "Maximum cyclic 4-cycle packings of the complete multipartite graph," Journal of Combinatorial Optimization, Springer, vol. 14(2), pages 365-382, October.
    • Handle: RePEc:spr:jcomop:v:14:y:2007:i:2:d:10.1007_s10878-007-9048-6
    DOI: 10.1007/s10878-007-9048-6
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