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math.RA2010
On maximal distances in a commuting graph
Gregor Dolinar, Bojan Kuzma, Polona Oblak
We study maximal distances in the commuting graphs of matrix algebras defined over algebraically closed fields. In particular, we show that the maximal distance can be attained onl…
math.CO2010
On the Polya permanent problem over finite fields
Gregor Dolinar, Alexander E. Guterman, Bojan Kuzma +1
Let $\FF$ be a finite field of characteristics different from two. We show that no bijective map transforms permanent into determinant when the cardinality of $\FF$ is sufficiently…