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CATS
1998
13 years 9 months ago
Finding the k Most Vital Edges with Respect to Minimum Spanning Trees for k=2 and 3
Let G(V, E) be a weighted, undirected, connected simple graph with n vertices and m edges. The k most vital edge problem with respect to minimum spanning trees is to find a set S o...
Weifa Liang, George Havas
CPC
2007
97views more  CPC 2007»
13 years 7 months ago
On an Online Spanning Tree Problem in Randomly Weighted Graphs
Abstract. This paper is devoted to an online variant of the minimum spanning tree problem in randomly weighted graphs. We assume that the input graph is complete and the edge weigh...
Jan Remy, Alexander Souza, Angelika Steger
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
14 years 1 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
WDAG
2001
Springer
107views Algorithms» more  WDAG 2001»
14 years 2 days ago
Self-Stabilizing Minimum Spanning Tree Construction on Message-Passing Networks
Self-stabilizing algorithms for constructing a spanning tree of an arbitrary network have been studied for many models of distributed networks including those that communicate via ...
Lisa Higham, Zhiying Liang
GECCO
2005
Springer
107views Optimization» more  GECCO 2005»
14 years 1 months ago
Minimum spanning trees made easier via multi-objective optimization
Many real-world problems are multi-objective optimization problems and evolutionary algorithms are quite successful on such problems. Since the task is to compute or approximate t...
Frank Neumann, Ingo Wegener