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Let G be a finite simple graph with adjacency matrix A, and let P̄̄(A) be the convex closure of the set of all permutation matrices commuting with A. G is said to be compact if every doubly stochastic matrix which commutes with A is in P̄(A). In this paper, we characterize 3–regular compact graphs and prove that if G is a connected regular compact graph, G – v is also compact, and give a family of...
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