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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
GECCO
2009
Springer
143views Optimization» more  GECCO 2009»
14 years 2 months ago
Exploiting hierarchical clustering for finding bounded diameter minimum spanning trees on euclidean instances
The bounded diameter minimum spanning tree problem is an NP-hard combinatorial optimization problem arising, for example, in network design when quality of service is of concern. ...
Martin Gruber, Günther R. Raidl
ICCNMC
2005
Springer
14 years 1 months ago
Least Cost Multicast Spanning Tree Algorithm for Local Computer Network
This study deals with the topology discovery for the capacitated minimum spanning tree network. The problem is composed of finding the best way to link nodes to a source node and, ...
Yong-Jin Lee, Mohammed Atiquzzaman
SODA
2004
ACM
156views Algorithms» more  SODA 2004»
13 years 9 months ago
Approximating Minimum Max-Stretch spanning Trees on unweighted graphs
Given a graph G and a spanning tree T of G, we say that T is a tree t-spanner of G if the distance between every pair of vertices in T is at most t times their distance in G. The p...
Yuval Emek, David Peleg
ICALP
2000
Springer
13 years 11 months ago
An Optimal Minimum Spanning Tree Algorithm
We establish that the algorithmic complexity of the minimum spanning tree problem is equal to its decision-tree complexity. Specifically, we present a deterministic algorithm to fi...
Seth Pettie, Vijaya Ramachandran