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COMBINATORICS
1999
90views more  COMBINATORICS 1999»
13 years 7 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 2 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...
COMGEO
2011
ACM
13 years 2 months ago
Improved bounds for cops-and-robber pursuit
We prove that n cops can capture (that is, some cop can get less than unit distance from) a robber in a continuous square region with side length less than √ 5n and hence that n/...
Laurent Alonso, Edward M. Reingold