36 citations · 161 across the 31 of their papers we have counts for
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math.CO2015
On the characteristic polynomial of a supertropical adjoint matrix
Yaroslav Shitov
Let denote the characteristic polynomial of a matrix over a field; a standard result of linear algebra states that is the reciprocal polynomial of . Mo…
math.CO2015
Nonnegative rank depends on the field
Yaroslav Shitov
We present an example of a subfield and a matrix whose conventional and nonnegative ranks equal five, but the nonnegative rank with respect to $\…
math.CO2015★ 22 cited
A matrix ring with commuting graph of maximal diameter
Yaroslav Shitov
The commuting graph of a semigroup is the set of non-central elements; the edges are defined as pairs satisfying . We provide an example of a field and an intege…