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CCCG
2007
13 years 8 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
FOCS
2006
IEEE
14 years 1 months ago
Minimum Bounded Degree Spanning Trees
We consider the minimum cost spanning tree problem under the restriction that all degrees must be at most a given value k. We show that we can efficiently find a spanning tree o...
Michel X. Goemans
CCCG
2010
13 years 8 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
SAC
2000
ACM
13 years 11 months ago
A Weighted Coding in a Genetic Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The coding by which chromosomes represent candidate solutions is a fundamental design choice in a genetic algorithm. This paper describes a novel coding of spanning trees in a gen...
Günther R. Raidl, Bryant A. Julstrom
GECCO
2005
Springer
156views Optimization» more  GECCO 2005»
14 years 24 days 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