Intersection Graphs of S-acts
نویسنده
چکیده
Let S be a semigroup. The intersection graph of an S-act A, denoted by G(A), is the undirected simple graph obtained by setting all non-trivial subacts of A to be the vertices and defining two distinct vertices to be adjacent if and only if their intersection is non-empty. It is investigated the interplay between the algebraic properties of A and the graph-theoretic properties of G(A). Also some characterization results regarding connectivity, completeness, diameter, and girth of G(A) are presented.
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تاریخ انتشار 2013