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DAM
2008
78views more  DAM 2008»
13 years 9 months ago
Semi-preemptive routing on trees
We study a variant of the pickup-and-delivery problem (PDP) in which the objects that have to be transported can be reloaded at most d times, for a given d N. This problem is kno...
Sven Oliver Krumke, Dirk Räbiger, Rainer Schr...
COMBINATORICS
2000
112views more  COMBINATORICS 2000»
13 years 8 months ago
A Note on Random Minimum Length Spanning Trees
Consider a connected r-regular n-vertex graph G with random independent edge lengths, each uniformly distributed on [0, 1]. Let mst(G) be the expected length of a minimum spanning...
Alan M. Frieze, Miklós Ruszinkó, Lub...
DAM
2002
67views more  DAM 2002»
13 years 8 months ago
Optimal arrangement of data in a tree directory
We define the decision problem data arrangement, which involves arranging the vertices of a graph G at the leaves of a d-ary tree so that a weighted sum of the distances between p...
Malwina J. Luczak, Steven D. Noble
JACM
2000
119views more  JACM 2000»
13 years 8 months ago
A minimum spanning tree algorithm with Inverse-Ackermann type complexity
A deterministic algorithm for computing a minimum spanning tree of a connected graph is presented. Its running time is O(m (m, n)), where is the classical functional inverse of Ack...
Bernard Chazelle
ESA
2009
Springer
106views Algorithms» more  ESA 2009»
14 years 3 months ago
Fast Evaluation of Interlace Polynomials on Graphs of Bounded Treewidth
Abstract. We consider the multivariate interlace polynomial introduced by Courcelle (2008), which generalizes several interlace polynomials defined by Arratia, Bollob´as, and Sor...
Markus Bläser, Christian Hoffmann