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EJC
2008
15 years 4 months ago
A simple proof for open cups and caps
Let X be a set of points in general position in the plane. General position means that no three points lie on a line and no two points have the same x-coordinate. Y X is a cup, r...
Jakub Cerný
CCCG
2007
15 years 5 months ago
Largest Subsets of Triangles in a Triangulation
Given a triangulation of n points, with some triangles marked “good”, this paper discusses the problems of computing the largest-area connected set of good triangles that (i) ...
Boris Aronov, Marc J. van Kreveld, Maarten Lö...
CORR
2010
Springer
174views Education» more  CORR 2010»
15 years 4 months ago
Fractional generalizations of Young and Brunn-Minkowski inequalities
A generalization of Young's inequality for convolution with sharp constant is conjectured for scenarios where more than two functions are being convolved, and it is proven for...
Sergey Bobkov, Mokshay M. Madiman, Liyao Wang
IPL
2006
98views more  IPL 2006»
15 years 4 months ago
Transforming spanning trees and pseudo-triangulations
Let TS be the set of all crossing-free straight line spanning trees of a planar n-point set S. Consider the graph TS where two members T and T of TS are adjacent if T intersects T...
Oswin Aichholzer, Franz Aurenhammer, Clemens Hueme...
JGT
2008
107views more  JGT 2008»
15 years 4 months ago
On planar intersection graphs with forbidden subgraphs
Let C be a family of n compact connected sets in the plane, whose intersection graph G(C) has no complete bipartite subgraph with k vertices in each of its classes. Then G(C) has ...
János Pach, Micha Sharir