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oaioai:CiteSeerX.psu:10.1.1.723.753

Necessary and sufficient conditions for unit graphs to be Hamiltonian

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Publication date
1 January 2011
Publisher
Doi

    Abstract

    The unit graph corresponding to an associative ring R is the graph obtained by setting all the elements of R to be the vertices and defining distinct vertices x and y to be adjacent if and only if x + y is a unit of R. By a constructive method, we derive necessary and sufficient conditions for unit graphs to be Hamiltonian

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