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» Improved upper bounds for vertex cover
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COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 6 months ago
New Bounds for Codes Identifying Vertices in Graphs
Let G = (V, E) be an undirected graph. Let C be a subset of vertices that we shall call a code. For any vertex v V , the neighbouring set N(v, C) is the set of vertices of C at d...
Gérard D. Cohen, Iiro S. Honkala, Antoine L...
CORR
2011
Springer
191views Education» more  CORR 2011»
13 years 1 months ago
On Approximating Four Covering and Packing Problems
In this paper, we consider approximability issues of the following four problems: triangle packing, full sibling reconstruction, maximum profit coverage and 2-coverage. All of th...
Mary V. Ashley, Tanya Y. Berger-Wolf, Piotr Berman...
COMPGEOM
2009
ACM
14 years 1 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
IPCO
2007
108views Optimization» more  IPCO 2007»
13 years 8 months ago
Robust Combinatorial Optimization with Exponential Scenarios
Following the well-studied two-stage optimization framework for stochastic optimization [15, 18], we study approximation algorithms for robust two-stage optimization problems with ...
Uriel Feige, Kamal Jain, Mohammad Mahdian, Vahab S...
EVOW
2007
Springer
14 years 26 days ago
Generation of Tree Decompositions by Iterated Local Search
Many instances of NP-hard problems can be solved efficiently if the treewidth of their corresponding graph is small. Finding the optimal tree decompositions is an NP-hard problem a...
Nysret Musliu