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» Finding Paths with Minimum Shared Edges
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SIAMDM
2008
110views more  SIAMDM 2008»
13 years 6 months ago
The Minimum Number of Distinct Areas of Triangles Determined by a Set of n Points in the Plane
We prove a conjecture of Erdos, Purdy, and Straus on the number of distinct areas of triangles determined by a set of n points in the plane. We show that if P is a set of n points...
Rom Pinchasi
CIAC
2000
Springer
210views Algorithms» more  CIAC 2000»
13 years 10 months ago
Computing a Diameter-Constrained Minimum Spanning Tree in Parallel
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to ...
Narsingh Deo, Ayman Abdalla
DAM
1998
77views more  DAM 1998»
13 years 6 months ago
Optimal Wavelength-routed Multicasting
Motivated by wavelength division multiplexing in all-optical networks, we consider the problem of finding a set of paths from a fixed source to a multiset of destinations, which c...
Bruno Beauquier, Pavol Hell, Stephane Perennes
COR
2008
142views more  COR 2008»
13 years 5 months ago
Modeling and solving the rooted distance-constrained minimum spanning tree problem
In this paper we discuss models and methods for solving the rooted distance constrained minimum spanning tree problem which is defined as follows: given a graph G = (V, E) with no...
Luis Gouveia, Ana Paias, Dushyant Sharma
APPROX
2010
Springer
138views Algorithms» more  APPROX 2010»
13 years 7 months ago
Maximum Flows on Disjoint Paths
We consider the question: What is the maximum flow achievable in a network if the flow must be decomposable into a collection of edgedisjoint paths? Equivalently, we wish to find a...
Guyslain Naves, Nicolas Sonnerat, Adrian Vetta