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    Hamilton-laceable Graph

    Definition

    A connected bipartite graph is called Hamilton-laceable, a term apparently introduced in Simmons, if it has a u - v Hamiltonian path for all pairs of vertices u and v, where u belongs to one set of the bipartition, and v to the other. A bipartite graph whose detour matrix elements (Δ)_(i, j) are maximal for all i and j corresponding to different elements of the vertex bipartition is therefore Hamilton-laceable.

    Related Wolfram Language symbol

    GraphData

    Associated person

    William Rowan Hamilton

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