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» Approximating node connectivity problems via set covers
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COMPGEOM
2009
ACM
15 years 4 months ago
Epsilon nets and union complexity
We consider the following combinatorial problem: given a set of n objects (for example, disks in the plane, triangles), and an integer L ≥ 1, what is the size of the smallest su...
Kasturi R. Varadarajan
FOCS
2004
IEEE
15 years 1 months ago
Edge-Disjoint Paths in Planar Graphs
We study the maximum edge-disjoint paths problem in undirected planar graphs: given a graph G and node pairs (demands) s1t1, s2t2, . . ., sktk, the goal is to maximize the number ...
Chandra Chekuri, Sanjeev Khanna, F. Bruce Shepherd
CORR
2010
Springer
117views Education» more  CORR 2010»
14 years 10 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
CORR
2010
Springer
198views Education» more  CORR 2010»
14 years 6 months ago
Convex Graph Invariants
The structural properties of graphs are usually characterized in terms of invariants, which are functions of graphs that do not depend on the labeling of the nodes. In this paper ...
Venkat Chandrasekaran, Pablo A. Parrilo, Alan S. W...
ISAAC
2004
Springer
137views Algorithms» more  ISAAC 2004»
15 years 3 months ago
The Polymatroid Steiner Problems
The Steiner tree problem asks for a minimum cost tree spanning a given set of terminals S ⊆ V in a weighted graph G = (V, E, c), c : E → R+ . In this paper we consider a genera...
Gruia Calinescu, Alexander Zelikovsky