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Diameters of commuting graphs of matrices over semirings
semiring Boolean semiring tropical semiring commuting graph
2011/2/28
We calculate the diameters of commuting graphs of matrices over the bi-nary Boolean semiring, the tropical semiring and an arbitrary nonentire commutative semiring. We also find the lower bound for th...
Almost commuting self-adjoint matrices --- the real and self-dual cases
self-adjoint matrices self-dual cases
2011/2/21
We show that a pair of almost commuting self-adjoint, symmetric ma-trices are close to commuting self-adjoint, symmetric matrices (in a uni-form way).