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NETWORKS
2008
15 years 3 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
114
Voted
APPROX
2004
Springer
136views Algorithms» more  APPROX 2004»
15 years 8 months ago
On the Crossing Spanning Tree Problem
Given an undirected n-node graph and a set C of m cuts, the minimum crossing tree is a spanning tree which minimizes the maximum crossing of any cut in C, where the crossing of a c...
Vittorio Bilò, Vineet Goyal, R. Ravi, Mohit...
181
Voted
STOC
2007
ACM
239views Algorithms» more  STOC 2007»
16 years 3 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
CORR
2008
Springer
138views Education» more  CORR 2008»
15 years 3 months ago
Computing Minimum Spanning Trees with Uncertainty
Abstract. We consider the minimum spanning tree problem in a setting where information about the edge weights of the given graph is uncertain. Initially, for each edge e of the gra...
Thomas Erlebach, Michael Hoffmann 0002, Danny Kriz...
WAOA
2007
Springer
170views Algorithms» more  WAOA 2007»
15 years 9 months ago
A 5/3-Approximation for Finding Spanning Trees with Many Leaves in Cubic Graphs
For a connected graph G, let L(G) denote the maximum number of leaves in a spanning tree in G. The problem of computing L(G) is known to be NP-hard even for cubic graphs. We improv...
José R. Correa, Cristina G. Fernandes, Mart...