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The Smarandache Vertices Of The Comaximal Graph Of A Commutative Ring

2018
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Zenodo
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Let R be a commutative ring with identity 1 ̸= 0. Define the comaximal graph of R, denoted by CG(R), to be the graph whose vertices are the elements of R, where two distinct vertices a and b are adjacent if and only if Ra + Rb = R. A vertex a in a simple graph G is said to be a Smarandache vertex (or S-vertex for short) provided that there exist three distinct vertices x, y, and b (all different from a) in G such that a—x, a—b, and b—y are edges in G but there is no edge between x and y. The

doi:10.5281/zenodo.1419756
fatcat:oejthoghefey7ekkprhlaesb4m