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» Minimum congestion spanning trees in planar graphs
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APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
14 years 24 days ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
STOC
2005
ACM
115views Algorithms» more  STOC 2005»
14 years 7 months ago
Lower-stretch spanning trees
We show that every weighted connected graph G contains as a subgraph a spanning tree into which the edges of G can be embedded with average stretch O log2 n log log n . Moreover, w...
Michael Elkin, Yuval Emek, Daniel A. Spielman, Sha...
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
ENTCS
2006
117views more  ENTCS 2006»
13 years 7 months ago
Distributed Graph Traversals by Relabelling Systems with Applications
Graph traversals are in the basis of many distributed algorithms. In this paper, we use graph relabelling systems to encode two basic graph traversals which are the broadcast and ...
Bilel Derbel, Mohamed Mosbah
BIRTHDAY
2009
Springer
14 years 2 months ago
The Weak Gap Property in Metric Spaces of Bounded Doubling Dimension
We introduce the weak gap property for directed graphs whose vertex set S is a metric space of size n. We prove that, if the doubling dimension of S is a constant, any directed gra...
Michiel H. M. Smid