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CCCG
2010
13 years 6 months ago
Combinatorial changes of euclidean minimum spanning tree of moving points in the plane
In this paper, we enumerate the number of combinatorial changes of the the Euclidean minimum spanning tree (EMST) of a set of n moving points in 2dimensional space. We assume that...
Zahed Rahmati, Alireza Zarei
TALG
2008
69views more  TALG 2008»
13 years 4 months ago
Testing Euclidean minimum spanning trees in the plane
Given a Euclidean graph G over a set P of n points in the plane, we are interested in verifying whether G is a Euclidean minimum spanning tree (EMST) of P or G differs from it in ...
Artur Czumaj, Christian Sohler
CCCG
2007
13 years 6 months ago
Approximating k-hop Minimum Spanning Trees in Euclidean Metrics
In the minimum-cost k-hop spanning tree (k-hop MST) problem, we are given a set S of n points in a metric space, a positive small integer k and a root point r ∈ S. We are intere...
Sören Laue, Domagoj Matijevic
STACS
2007
Springer
13 years 10 months ago
Light Orthogonal Networks with Constant Geometric Dilation
An orthogonal spanner network for a given set of n points in the plane is a plane straight line graph with axis-aligned edges that connects all input points. We show that for any ...
Adrian Dumitrescu, Csaba D. Tóth
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
13 years 10 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell