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» On Central Spanning Trees of a Graph
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IPL
2007
114views more  IPL 2007»
14 years 9 months ago
Spanning trees with minimum weighted degrees
Given a metric graph G, we are concerned with finding a spanning tree of G where the maximum weighted degree of its vertices is minimum. In a metric graph (or its spanning tree),...
Mohammad Ghodsi, Hamid Mahini, Kian Mirjalali, Sha...
SODA
2007
ACM
106views Algorithms» more  SODA 2007»
14 years 11 months ago
Embedding metrics into ultrametrics and graphs into spanning trees with constant average distortion
This paper addresses the basic question of how well can a tree approximate distances of a metric space or a graph. Given a graph, the problem of constructing a spanning tree in a ...
Ittai Abraham, Yair Bartal, Ofer Neiman
SOFSEM
2007
Springer
15 years 3 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...
ALGORITHMICA
2008
63views more  ALGORITHMICA 2008»
14 years 10 months ago
The Swap Edges of a Multiple-Sources Routing Tree
Let T be a spanning tree of a graph G and S V (G) be a set of sources. The routing cost of T is the total distance from all sources to all vertices. For an edge e of T, the swap ...
Bang Ye Wu, Chih-Yuan Hsiao, Kun-Mao Chao
SRDS
1998
IEEE
15 years 2 months ago
Practical Parallel Algorithms for Minimum Spanning Trees
We study parallel algorithms for computing the minimum spanning tree of a weighted undirected graph G with n vertices and m edges. We consider an input graph G with m=n p, where p...
Frank K. H. A. Dehne, Silvia Götz