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- W1491349465 abstract "In this paper we show that if the edges of the complete multigraph on n vertices (in which each edge has multiplicity two) can be partitioned into n Hamilton paths having the property that any two paths intersect in exactly one edge, then the edges of the complete multigraph on n' = n(5 a 13 b 17 c ) vertices (each edge having multiplicity two) can be partitioned into n' Hamilton paths having the same intersection property. (Here a, b, and c are natural numbers.) We also show that if the edges of the complete multigraph on n vertices (in which each edge has multiplicity two) can be partitioned into n Hamilton paths having the property that any two paths intersect in exactly one edge, then the arcs of the complete symmetric directed graph on 4n vertices can be partitioned into 4n directed cycles of length 4n-l so that any two cycles intersect in exactly one edge (undirected arc)." @default.
- W1491349465 created "2016-06-24" @default.
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- W1491349465 date "1985-01-01" @default.
- W1491349465 modified "2023-09-26" @default.
- W1491349465 title "Path and Cycle Decompositions of Complete Multigraphs" @default.
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- W1491349465 doi "https://doi.org/10.1016/s0304-0208(08)73022-6" @default.
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