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CORR
2010
Springer
117views Education» more  CORR 2010»
15 years 7 months ago
Reductions Between Expansion Problems
The Small-Set Expansion Hypothesis (Raghavendra, Steurer, STOC 2010) is a natural hardness assumption concerning the problem of approximating the edge expansion of small sets in g...
Prasad Raghavendra, David Steurer, Madhur Tulsiani
SIAMJO
2002
142views more  SIAMJO 2002»
15 years 7 months ago
A Complementary Pivoting Approach to the Maximum Weight Clique Problem
Given an undirected graph with positive weights on the vertices, the maximum weight clique problem (MWCP) is to find a subset of mutually adjacent vertices (i.e., a clique) having ...
Alessio Massaro, Marcello Pelillo, Immanuel M. Bom...
COCOON
2008
Springer
15 years 9 months ago
Approximating the Generalized Capacitated Tree-Routing Problem
In this paper, we introduce the generalized capacitated tree-routing problem (GCTR), which is described as follows. Given a connected graph G = (V, E) with a sink s V and a set M...
Ehab Morsy, Hiroshi Nagamochi
APPROX
2009
Springer
195views Algorithms» more  APPROX 2009»
16 years 1 months ago
Approximating Node-Connectivity Augmentation Problems
The (undirected) Node Connectivity Augmentation (NCA) problem is: given a graph J = (V, EJ ) and connectivity requirements {r(u, v) : u, v ∈ V }, find a minimum size set I of n...
Zeev Nutov
IPPS
1998
IEEE
15 years 11 months ago
NC Algorithms for the Single Most Vital Edge Problem with Respect to All Pairs Shortest Paths
For a weighted, undirected graph G = V;E where jVj = n and jEj = m, we examine the single most vital edge with respect to two measurements related to all-pairs shortest paths APSP....
Sven Venema, Hong Shen, Francis Suraweera