“School of Mathematics”
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| Paper IPM / M / 11503 |
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| Abstract: | |||||
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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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