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- W2383193181 abstract "Let K_n~c denote a complete graph on n vertices whose edges are colored in an arbitrary way.LetΔ~(mon)(K_n~c) denote the maximum number of edges of the same color incident with a vertex of K_n~c.A properly colored cycle(path) in K_n~c is a cycle (path) in which adjacent edges have distinct colors.B.Bollobas and P.Erd(o|¨)s(1976) proposed the following conjecture:IfΔ(mon)(K_n~c)[n/2],then K_n~c contains a properly colored Hamiltonian cycle.This conjecture is still open.In this paper,we study properly colored paths and cycles under the condition mentioned in the above conjecture." @default.
- W2383193181 created "2016-06-24" @default.
- W2383193181 creator A5053471355 @default.
- W2383193181 date "2011-01-01" @default.
- W2383193181 modified "2023-09-26" @default.
- W2383193181 title "Properly Colored Paths and Cycles in Complete Graphs" @default.
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