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JCT
2010
87views more  JCT 2010»
13 years 6 months ago
Bijections between pattern-avoiding fillings of Young diagrams
The pattern-avoiding fillings of Young diagrams we study arose from Postnikov’s work on positive Grassman cells. They are called Γ -diagrams, and are in bijection with decorate...
Matthieu Josuat-Vergès
ALGORITHMICA
2004
111views more  ALGORITHMICA 2004»
13 years 7 months ago
The Hausdorff Voronoi Diagram of Point Clusters in the Plane
We study the Hausdorff Voronoi diagram of point clusters in the plane, a generalization of Voronoi diagrams based on the Hausdorff distance function. We derive a tight combinatori...
Evanthia Papadopoulou
COMBINATORICS
1998
89views more  COMBINATORICS 1998»
13 years 7 months ago
Venn Diagrams with Few Vertices
An n-Venn diagram is a collection of n finitely-intersecting simple closed curves in the plane, such that each of the 2n sets X1 ∩X2 ∩· · ·∩Xn, where each Xi is the open...
Bette Bultena, Frank Ruskey
FCS
2006
13 years 8 months ago
A Theoretical Study of Parallel Voronoi Diagram
In this paper, we concentrate on the problem of computing a Voronoi diagram using Hypercube model of computation. The main contribution of this work is the O(log3 n) parallel algor...
Rashid Muhammad
CCCG
2008
13 years 9 months ago
A Distributed Algorithm for Computing Voronoi Diagram in the Unit Disk Graph Model
We study the problem of computing Voronoi diagrams distributedly for a set of nodes of a network modeled as a Unit Disk Graph (UDG). We present an algorithm to solve this problem ...
Yurai Núñez Rodríguez, Henry ...