activity
20022022
most citedA better upper bound on the number of triangulations of a planar point set

64 citations · 64 across the 3 of their papers we have counts for

collaborators

5 papers

cs.CC2022

The Influence of Dimensions on the Complexity of Computing Decision Trees

Stephen G. Kobourov, Maarten Löffler, Fabrizio Montecchiani +5

A decision tree recursively splits a feature space and then assigns class labels based on the resulting partition. Decision trees have been part of the basic machi…

cs.CG2019

Inserting one edge into a simple drawing is hard

Alan Arroyo, Fabian Klute, Irene Parada +3

A {\em simple drawing} of a graph is one where each pair of edges share at most one point: either a common endpoint or a proper crossing. An edge in the complement o…

cs.CG2014

Counting Triangulations and other Crossing-Free Structures Approximately

Victor Alvarez, Karl Bringmann, Saurabh Ray +1

We consider the problem of counting straight-edge triangulations of a given set of points in the plane. Until very recently it was not known whether the exact number of tri…

cs.CG2005

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

Khaled Elbassioni, Zvi Lotker, Raimund Seidel

In this note we show that the maximum number of vertices in any polyhedron with -constraint matrix and a real vector is at most $d…

math.CO2002★ 64 cited

A better upper bound on the number of triangulations of a planar point set

Francisco Santos, Raimund Seidel

We show that a point set of cardinality in the plane cannot be the vertex set of more than straight-edge triangulations of its convex hull. This improves the p…