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» On Central Spanning Trees of a Graph
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CIAC
2010
Springer
376views Algorithms» more  CIAC 2010»
16 years 3 months ago
Kernelization for Maximum Leaf Spanning Tree with Positive Vertex Weights
In this paper we consider a natural generalization of the well-known Max Leaf Spanning Tree problem. In the generalized Weighted Max Leaf problem we get as input an undirected co...
Bart Jansen
NETWORKS
2008
15 years 6 months ago
A linear programming approach to increasing the weight of all minimum spanning trees
Given a graph where increasing the weight of an edge has a nondecreasing convex piecewise linear cost, we study the problem of finding a minimum cost increase of the weights so tha...
Mourad Baïou, Francisco Barahona
WADS
2005
Springer
162views Algorithms» more  WADS 2005»
15 years 11 months ago
The Minimum-Area Spanning Tree Problem
Motivated by optimization problems in sensor coverage, we formulate and study the Minimum-Area Spanning Tree (mast) problem: Given a set P of n points in the plane, find a spannin...
Paz Carmi, Matthew J. Katz, Joseph S. B. Mitchell
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
16 years 6 months ago
Approximating minimum bounded degree spanning trees to within one of optimal
In the MINIMUM BOUNDED DEGREE SPANNING TREE problem, we are given an undirected graph with a degree upper bound Bv on each vertex v, and the task is to find a spanning tree of min...
Mohit Singh, Lap Chi Lau
FOCS
2008
IEEE
16 years 15 days ago
Nearly Tight Low Stretch Spanning Trees
We prove that any graph G with n points has a distribution T over spanning trees such that for any edge (u, v) the expected stretch ET ∼T [dT (u, v)/dG(u, v)] is bounded by ˜O(...
Ittai Abraham, Yair Bartal, Ofer Neiman