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DAM
2006
191views more  DAM 2006»
13 years 8 months ago
Approximating the minimum clique cover and other hard problems in subtree filament graphs
Subtree filament graphs are the intersection graphs of subtree filaments in a tree. This class of graphs contains subtree overlap graphs, interval filament graphs, chordal graphs,...
J. Mark Keil, Lorna Stewart
FOCS
2002
IEEE
14 years 1 months ago
Covering Problems with Hard Capacities
We consider the classical vertex cover and set cover problems with the addition of hard capacity constraints. This means that a set (vertex) can only cover a limited number of its...
Julia Chuzhoy, Joseph Naor
APPROX
2005
Springer
150views Algorithms» more  APPROX 2005»
14 years 2 months ago
A Primal-Dual Approximation Algorithm for Partial Vertex Cover: Making Educated Guesses
We study the partial vertex cover problem. Given a graph G = (V, E), a weight function w : V → R+ , and an integer s, our goal is to cover all but s edges, by picking a set of v...
Julián Mestre
WG
2007
Springer
14 years 2 months ago
Minimum-Weight Cycle Covers and Their Approximability
A cycle cover of a graph is a set of cycles such that every vertex is part of exactly one cycle. An L-cycle cover is a cycle cover in which the length of every cycle is in the set ...
Bodo Manthey
FCT
2009
Springer
14 years 3 months ago
Competitive Group Testing and Learning Hidden Vertex Covers with Minimum Adaptivity
Suppose that we are given a set of n elements d of which are “defective”. A group test can check for any subset, called a pool, whether it contains a defective. It is well know...
Peter Damaschke, Azam Sheikh Muhammad