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» Partitions of Graphs into Trees
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DAM
2007
74views more  DAM 2007»
13 years 9 months ago
On the uniform edge-partition of a tree
We study the problem of uniformly partitioning the edge set of a tree with n edges into k connected components, where k ≤ n. The objective is to minimize the ratio of the maximu...
Bang Ye Wu, Hung-Lung Wang, Shih Ta Kuan, Kun-Mao ...
SODA
2004
ACM
156views Algorithms» more  SODA 2004»
13 years 10 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
FCT
2009
Springer
14 years 3 months ago
Martingales on Trees and the Empire Chromatic Number of Random Trees
We study the empire colouring problem (as defined by Percy Heawood in 1890) for maps whose dual planar graph is a tree, with empires formed by exactly r countries. We prove that, ...
Colin Cooper, Andrew R. A. McGrae, Michele Zito
IJDSN
2008
81views more  IJDSN 2008»
13 years 8 months ago
A Flexible Stochastic Automaton-Based Algorithm for Network Self-Partitioning
This article proposes a flexible and distributed stochastic automaton-based network partitioning algorithm that is capable of finding the optimal k-way partition with respect to a...
Yan Wan, Sandip Roy, Ali Saberi, Bernard C. Lesieu...
SC
1995
ACM
14 years 22 days ago
Analysis of Multilevel Graph Partitioning
Recently, a number of researchers have investigated a class of algorithms that are based on multilevel graph partitioning that have moderate computational complexity, and provide ...
George Karypis, Vipin Kumar