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» On the Length of a Random Minimum Spanning Tree
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GECCO
2004
Springer
129views Optimization» more  GECCO 2004»
13 years 11 months ago
Encoding Bounded-Diameter Spanning Trees with Permutations and with Random Keys
Permutations of vertices can represent constrained spanning trees for evolutionary search via a decoder based on Prim’s algorithm, and random keys can represent permutations. Tho...
Bryant A. Julstrom
SAC
2003
ACM
13 years 10 months ago
Greedy Heuristics and an Evolutionary Algorithm for the Bounded-Diameter Minimum Spanning Tree Problem
Given a connected, weighted, undirected graph G and a bound D, the bounded-diameter minimum spanning tree problem seeks a spanning tree on G of lowest weight in which no path betw...
Günther R. Raidl, Bryant A. Julstrom
WEA
2007
Springer
158views Algorithms» more  WEA 2007»
13 years 11 months ago
A Primal Branch-and-Cut Algorithm for the Degree-Constrained Minimum Spanning Tree Problem
The degree-constrained minimum spanning tree (DCMST) is relevant in the design of networks. It consists of finding a spanning tree whose nodes do not exceed a given maximum degree...
Markus Behle, Michael Jünger, Frauke Liers
CCCG
2010
13 years 7 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
SOFSEM
2007
Springer
13 years 11 months ago
Competitive Maintenance of Minimum Spanning Trees in Dynamic Graphs
Abstract. We consider the problem of maintaining a minimum spanning tree within a graph with dynamically changing edge weights. An online algorithm is confronted with an input sequ...
Miroslaw Dynia, Miroslaw Korzeniowski, Jaroslaw Ku...