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CORR
2008
Springer
133views Education» more  CORR 2008»
14 years 11 months ago
On Geometric Spanners of Euclidean and Unit Disk Graphs
We consider the problem of constructing bounded-degree planar geometric spanners of Euclidean and unit-disk graphs. It is well known that the Delaunay subgraph is a planar geometri...
Iyad A. Kanj, Ljubomir Perkovic
ACSC
2007
IEEE
15 years 5 months ago
From Graphs to Euclidean Virtual Worlds: Visualization of 3D Electronic Institutions
In this paper we propose an algorithm for automatic transformation of a graph into a 3D Virtual World and its Euclidean map, using the rectangular dualization technique. The nodes...
Sara Drago, Anton Bogdanovych, Massimo Ancona, Sim...
ICPR
2010
IEEE
15 years 6 months ago
Fast and Accurate Approximation of the Euclidean Opening Function in Arbitrary Dimension
In this paper, we present a fast and accurate approximation of the Euclidean opening function which is a wide-used tool in morphological mathematics to analyze binary shapes since...
David Coeurjolly
AAIM
2010
Springer
165views Algorithms» more  AAIM 2010»
15 years 3 months ago
Finding Good Tours for Huge Euclidean TSP Instances by Iterative Backbone Contraction
Abstract. This paper presents an iterative, highly parallelizable approach to find good tours for very large instances of the Euclidian version of the well-known Traveling Salesma...
Christian Ernst, Changxing Dong, Gerold Jäger...
STOC
1998
ACM
139views Algorithms» more  STOC 1998»
15 years 3 months ago
Approximation Schemes for Euclidean k-Medians and Related Problems
In the k-median problem we are given a set S of n points in a metric space and a positive integer k. We desire to locate k medians in space, such that the sum of the distances fro...
Sanjeev Arora, Prabhakar Raghavan, Satish Rao