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» On the Value of a Random Minimum Weight Steiner Tree
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FCT
2009
Springer
15 years 4 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
GECCO
2005
Springer
156views Optimization» more  GECCO 2005»
15 years 2 months ago
The blob code is competitive with edge-sets in genetic algorithms for the minimum routing cost spanning tree problem
Among the many codings of spanning trees for evolutionary search are those based on bijections between Pr¨ufer strings—strings of n−2 vertex labels—and spanning trees on th...
Bryant A. Julstrom
FUN
2007
Springer
91views Algorithms» more  FUN 2007»
15 years 3 months ago
High Spies (or How to Win a Programming Contest)
We analyse transports between leaves in an edge-weighted tree. We prove under which conditions there exists a transport matching the weights of a given tree. We use this to compute...
André H. Deutz, Rudy van Vliet, Hendrik Jan...
ICDE
2007
IEEE
111views Database» more  ICDE 2007»
15 years 10 months ago
Finding Top-k Min-Cost Connected Trees in Databases
It is widely realized that the integration of database and information retrieval techniques will provide users with a wide range of high quality services. In this paper, we study ...
Bolin Ding, Jeffrey Xu Yu, Shan Wang, Lu Qin, Xiao...
SODA
1998
ACM
157views Algorithms» more  SODA 1998»
14 years 10 months ago
A Polynomial Time Approximation Scheme for Minimum Routing Cost Spanning Trees
Given an undirected graph with nonnegative costs on the edges, the routing cost of any of its spanning trees is the sum over all pairs of vertices of the cost of the path between t...
Bang Ye Wu, Giuseppe Lancia, Vineet Bafna, Kun-Mao...