Sergeĭ Sergeev

activity

20052023

most citedGenerators, extremals and bases of max cones

97 citations · 431 across the 34 of their papers we have counts for

collaborators

Showing 2014Show all

3 papers · 1 filter

math.CO2014

Extremals of the supereigenvector cone in max algebra: a combinatorial description

Sergei Sergeev

We give a combinatorial description of extremal generators of the supereigenvector cone {x: Ax>=x} in max algebra.

math.CO2014★ 15 cited

Tropical linear algebra with the Lukasiewicz T-norm

Martin Gavalec, Zuzana Nemcova, Sergei Sergeev

The max-Lukasiewicz semiring is defined as the unit interval [0,1] equipped with the arithmetics "a+b"=max(a,b) and "ab"=max(0,a+b-1). Linear algebra over this semiring can be deve…

math.RA2014

Characterizing matrices with $X$ -simple image eigenspace in max-min semiring

Jan Plavka, Sergei Sergeev

A matrix $A$ is said to have $X$ -simple image eigenspace if any eigenvector $x$ belonging to the interval $X = {x : x \leq x \leq x}$ is the unique solution…

Extremals of the supereigenvector cone in max algebra: a combinatorial description

Tropical linear algebra with the Lukasiewicz T-norm

Characterizing matrices with X-simple image eigenspace in max-min semiring

Characterizing matrices with $X$ -simple image eigenspace in max-min semiring