Two edge-disjoint Hamiltonian cycles of powers of a graph

Ladislav Nebeský; Elena Wisztová

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Displaying similar documents to “Two edge-disjoint Hamiltonian cycles of powers of a graph”

A Hamiltonian cycle and a $1$ -factor in the fourth power of a graph

Elena Wisztová (1985)

Časopis pro pěstování matematiky

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A generalization of Hamiltonian cycles for trees

Ladislav Nebeský (1976)

Czechoslovak Mathematical Journal

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On a Hamiltonian cycle of the fourth power of a connected graph

Elena Wisztová (1991)

Mathematica Bohemica

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In this paper the following theorem is proved: Let $G$ be a connected graph of order $p \geq 4$ and let $M$ be a matching in $G$ . Then there exists a hamiltonian cycle $C$ of $G^{4}$ such that $E (C) ⋂ M = 0$ .

Displaying similar documents to “Two edge-disjoint Hamiltonian cycles of powers of a graph”

A Hamiltonian cycle and a 1 -factor in the fourth power of a graph

A generalization of Hamiltonian cycles for trees

On a Hamiltonian cycle of the fourth power of a connected graph

A Hamiltonian cycle and a $1$ -factor in the fourth power of a graph