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The Graphs induced by the Noncommutativity of GroupsChiang, Yu-Chin 20 March 2007 (has links)
We consider the graphs induced by the noncommutativity of groups and discuss some properties of the largest complete subgraphs of these graphs.
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The complete subgraphs of some graphs induced by ringsTang, Hsiu-mien 01 August 2007 (has links)
We consider complete subgraphs of the graph induced by the noncommutativity of a ring, and prove that the graph induced by an infinite noncommutative prime ring contains an infinite complete subgraph. We also compute the clique number and the chromatic number of the graphs induced by some concrete graphs.
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