Khaled M. Elbassioni

most citedImproved Approximations for Guarding 1.5-Dimensional Terrains

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cs.CG2008★ 2 cited

Improved Approximations for Guarding 1.5-Dimensional Terrains

K. Elbassioni, D. Matijevic, J. Mestre +1

We present a 4-approximation algorithm for the problem of placing a fewest guards on a 1.5D terrain so that every point of the terrain is seen by at least one guard. This improves…

cs.CG2005

Upper Bound on the Number of Vertices of Polyhedra with $0, 1$ -Constraint Matrices

Khaled Elbassioni, Zvi Lotker, Raimund Seidel

In this note we show that the maximum number of vertices in any polyhedron $P = {x \in R^{d} : A x \leq b}$ with $0, 1$ -constraint matrix $A$ and a real vector $b$ is at most $d…

Improved Approximations for Guarding 1.5-Dimensional Terrains

Upper Bound on the Number of Vertices of Polyhedra with 0,1-Constraint Matrices

Upper Bound on the Number of Vertices of Polyhedra with $0, 1$ -Constraint Matrices