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Hamiltonian-t*-Laceability in the Cartesian Product of Paths

P. Gomathi, R. Murali


A graph G is Hamiltonian-t-laceable (t*-laceable) if there exists in G a Hamiltonian path between every pair of vertices (at least one pair of vertices) u and v which are at a distance t in it , where t is a positive integer. In this paper, the laceability properties of the Cartesian product of path graphs( precisely the cartesian product of 3 paths) is explored.


Hamiltonian graph, Hamiltonian laceable graph, Hamiltonian-t-laceable graph, Hamiltonian-t*-laceable graph.

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