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» Testing Euclidean minimum spanning trees in the plane
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COMPGEOM
2003
ACM
15 years 4 months ago
Euclidean bounded-degree spanning tree ratios
Let τK be the worst-case (supremum) ratio of the weight of the minimum degree-K spanning tree to the weight of the minimum spanning tree, over all finite point sets in the Eu
Timothy M. Chan
STACS
2007
Springer
15 years 5 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
GECCO
2005
Springer
156views Optimization» more  GECCO 2005»
15 years 5 months ago
The blob code is competitive with edge-sets in genetic algorithms for the minimum routing cost spanning tree problem
Among the many codings of spanning trees for evolutionary search are those based on bijections between Pr¨ufer strings—strings of n−2 vertex labels—and spanning trees on th...
Bryant A. Julstrom
JUCS
2007
148views more  JUCS 2007»
14 years 11 months ago
Analysis of two Sweep-line Algorithms for Constructing Spanning Trees and Steiner Trees
: We give a tight analysis of an old and popular sweep-line heuristic for constructing a spanning tree of a set of n points in the plane. The algorithm sweeps a vertical line acros...
Adrian Dumitrescu, Csaba D. Tóth
EUROCAST
2009
Springer
185views Hardware» more  EUROCAST 2009»
15 years 6 months ago
Solving the Euclidean Bounded Diameter Minimum Spanning Tree Problem by Clustering-Based (Meta-)Heuristics
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising in particular in network design. There exist various exact and metaheuri...
Martin Gruber, Günther R. Raidl