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FOCS
2000
IEEE
13 years 11 months ago
A polylogarithmic approximation of the minimum bisection
A bisection of a graph with n vertices is a partition of its vertices into two sets, each of size n/2. The bisection cost is the number of edges connecting the two sets. The proble...
Uriel Feige, Robert Krauthgamer
IPL
2010
115views more  IPL 2010»
13 years 5 months ago
Hardness and approximation of minimum distortion embeddings
We show that the problem of computing a minimum distortion embedding of a given graph into a path remains NP-hard when the input graph is restricted to a bipartite, cobipartite, o...
Pinar Heggernes, Daniel Meister
FSTTCS
2001
Springer
13 years 11 months ago
The Directed Minimum-Degree Spanning Tree Problem
Consider a directed graph G = (V, E) with n vertices and a root vertex r ∈ V . The DMDST problem for G is one of constructing a spanning tree rooted at r, whose maximal degree is...
Radha Krishnan, Balaji Raghavachari
ADHOCNOW
2004
Springer
14 years 22 days ago
Approximating the Minimum Number of Maximum Power Users in Ad Hoc Networks
Topology control is the problem of assigning transmission power values to the nodes of an ad hoc network so that the induced graph satisfies some specified property. The most fun...
Errol L. Lloyd, Rui Liu, S. S. Ravi
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 7 months ago
Approximating the minimum directed tree cover
Given a directed graph G with non negative cost on the arcs, a directed tree cover of G is a directed tree such that either head or tail (or both of them) of every arc in G is touc...
Viet Hung Nguyen