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» On the Chromatic Number of Random Graphs
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DM
2007
83views more  DM 2007»
15 years 4 months ago
Codes identifying sets of vertices in random networks
In this paper we deal with codes identifying sets of vertices in random networks; that is, (1, ≤ ℓ)-identifying codes. These codes enable us to detect sets of faulty processor...
Alan M. Frieze, Ryan Martin, Julien Moncel, Mikl&o...
OPODIS
2004
15 years 5 months ago
Comparison of Failures and Attacks on Random and Scale-Free Networks
Abstract. It appeared recently that some statistical properties of complex networks like the Internet, the World Wide Web or Peer-to-Peer systems have an important influence on the...
Jean-Loup Guillaume, Matthieu Latapy, Cléme...
FOCS
1994
IEEE
15 years 8 months ago
Randomized and deterministic algorithms for geometric spanners of small diameter
Let S be a set of n points in IRd and let t > 1 be a real number. A t-spanner for S is a directed graph having the points of S as its vertices, such that for any pair p and q o...
Sunil Arya, David M. Mount, Michiel H. M. Smid
JCO
1998
136views more  JCO 1998»
15 years 4 months ago
A Greedy Randomized Adaptive Search Procedure for the Feedback Vertex Set Problem
Abstract. A Greedy Randomized Adaptive Search Procedure (GRASP) is a randomized heuristic that has produced high quality solutions for a wide range of combinatorial optimization pr...
Panos M. Pardalos, Tianbing Qian, Mauricio G. C. R...
SODA
2000
ACM
114views Algorithms» more  SODA 2000»
15 years 5 months ago
Typical random 3-SAT formulae and the satisfiability threshold
: k-SAT is one of the best known among a wide class of random constraint satisfaction problems believed to exhibit a threshold phenomenon where the control parameter is the ratio, ...
Olivier Dubois, Yacine Boufkhad, Jacques Mandler