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» Maintaining Minimum Spanning Trees in Dynamic Graphs
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ASPDAC
2001
ACM
103views Hardware» more  ASPDAC 2001»
15 years 1 months ago
Efficient minimum spanning tree construction without Delaunay triangulation
Given n points in a plane, a minimum spanning tree is a set of edges which connects all the points and has a minimum total length. A naive approach enumerates edges on all pairs o...
Hai Zhou, Narendra V. Shenoy, William Nicholls
NETWORKS
2008
14 years 9 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 2 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»
15 years 9 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
ICALP
2001
Springer
15 years 1 months ago
Approximating the Minimum Spanning Tree Weight in Sublinear Time
We present a probabilistic algorithm that, given a connected graph G (represented by adjacency lists) of average degree d, with edge weights in the set {1, . . . , w}, and given a ...
Bernard Chazelle, Ronitt Rubinfeld, Luca Trevisan