Hamiltonian Closure in Random Graphs

作者: John Gimbel , David Kurtz , Linda Lesniak , Edward R. Scheinerman , John C. Wierman

DOI: 10.1016/S0304-0208(08)73048-2

关键词: Path graphMathematicsComplement graphCombinatoricsBound graphInduced pathGraph powerPancyclic graphGraph toughnessRandom regular graphDiscrete mathematics

摘要: The closure C * (C) of a graph G with n vertices is obtained by iteratively adding edges to between nonadjacent whose degrees sum at least n. We show that for almost all graphs edge probability 1/2, (G) complete graph, answering question posed Palmer.

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