66 citations · 154 across the 8 of their papers we have counts for
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cs.GT2014★ 3 cited
The tropical shadow-vertex algorithm solves mean payoff games in polynomial time on average
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert
We introduce an algorithm which solves mean payoff games in polynomial time on average, assuming the distribution of the games satisfies a flip invariance property on the set of ac…
math.OC2014★ 9 cited
Long and winding central paths
Xavier Allamigeon, Pascal Benchimol, Stéphane Gaubert +1
We disprove a continuous analogue of the Hirsch conjecture proposed by Deza, Terlaky and Zinchenko, by constructing a family of linear programs with inequalities in dimensio…