46 citations · 71 across the 14 of their papers we have counts for
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math.GR2013
Semigroup Conjectures for Central Semidirect Product of R^n with R^m
Kevin Lui, Viorel Nitica, Siddharth Venkatesh
In this paper we prove two new results about closed semigroups in the family of solvable groups H_{mn} that are semidirect products of R^m and R^n, and for which the structure homo…
math.MG2013★ 5 cited
On the dimension of max-min convex sets
Viorel Nitica, Sergei Sergeev
We introduce a notion of dimension of max-min convex sets, following the approach of tropical convexity. We introduce a max-min analogue of the tropical rank of a matrix and show t…
math.MG2013
Tropical convexity over max-min semiring
Viorel Nitica, Sergei Sergeev
This is a survey on an analogue of tropical convexity developed over the max-min semiring, starting with the descriptions of max-min segments, semispaces, hyperplanes and an accoun…