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» The (K, k)-Capacitated Spanning Tree Problem
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GD
2004
Springer
14 years 29 days ago
Partitions of Complete Geometric Graphs into Plane Trees
Consider the following question: does every complete geometric graph K2n have a partition of its edge set into n plane spanning trees? We approach this problem from three directio...
Prosenjit Bose, Ferran Hurtado, Eduardo Rivera-Cam...
IJCM
2002
92views more  IJCM 2002»
13 years 7 months ago
Random-tree Diameter and the Diameter-constrained MST
A minimum spanning tree (MST) with a small diameter is required in numerous practical situations. It is needed, for example, in distributed mutual exclusion algorithms in order to...
Ayman Abdalla, Narsingh Deo
WADS
2009
Springer
226views Algorithms» more  WADS 2009»
14 years 2 months ago
Online Priority Steiner Tree Problems
Abstract. A central issue in the design of modern communication networks is the provision of Quality-of-Service (QoS) guarantees at the presence of heterogeneous users. For instanc...
Spyros Angelopoulos
LATIN
2010
Springer
14 years 2 months ago
Sharp Separation and Applications to Exact and Parameterized Algorithms
Many divide-and-conquer algorithms employ the fact that the vertex set of a graph of bounded treewidth can be separated in two roughly balanced subsets by removing a small subset o...
Fedor V. Fomin, Daniel Lokshtanov, Fabrizio Grando...
FOCS
2008
IEEE
14 years 2 months ago
Shallow-Low-Light Trees, and Tight Lower Bounds for Euclidean Spanners
We show that for every n-point metric space M and positive integer k, there exists a spanning tree T with unweighted diameter O(k) and weight w(T) = O(k · n1/k ) · w(MST(M)), an...
Yefim Dinitz, Michael Elkin, Shay Solomon