In this paper, we present a complete solution to the existence problem for a cyclic hamiltonian cycle system for the complete multipartite graph with an even number of parts all of the same cardinality. We also give necessary and sufficient conditions for the system to be symmetric as well.
Merola, F., Pasotti, A., Pellegrini, M. A., Cyclic and symmetric hamiltonian cycle systems of the complete multipartite graph: Even number of parts, <<ARS MATHEMATICA CONTEMPORANEA>>, 2017; 12 (2): 219-233. [doi:10.26493/1855-3974.847.af5] [http://hdl.handle.net/10807/91363]
Cyclic and symmetric hamiltonian cycle systems of the complete multipartite graph: Even number of parts
Pellegrini, Marco AntonioUltimo
2017
Abstract
In this paper, we present a complete solution to the existence problem for a cyclic hamiltonian cycle system for the complete multipartite graph with an even number of parts all of the same cardinality. We also give necessary and sufficient conditions for the system to be symmetric as well.
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