Closed trail decompositions of complete equipartite graphs
Burgess, Andrea ; Šajna, Mateja
The complete equipartite graph ▫$K_m \ast {\overline{K_n}}$▫ has ▫$mn$▫ vertices partitioned into ▫$m$▫ parts of size ▫$n$▫, with two vertices adjacent if and only if they are in different parts. In ...this paper, we determine necessary and sufficient conditions for the existence of a decomposition of ▫$K_m \ast {\overline{K_n}}$▫ into closed trails of length ▫$k$▫.
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