José D. P. Rolim

Approximation Algorithms for Combinatiorial Optimization

Approximations of independent sets in graphs.- Using linear programming in the design and analysis of approximation algorithms: Two illustrative problems.- The Steiner tree problem and its generalizations.- Approximation schemes for covering and scheduling in related machines.- One for the price of two: A unified approach for approximating covering problems.- Approximation of geometric dispersion problems.- Approximating k-outconnected subgraph problems.- Lower bounds for on-line scheduling with precedence constraints on identical machines.- Instant recognition of half integrality and 2-approximations.- The t-vertex cover problem: Extending the half integrality framework with budget constraints.- A new fully polynomial approximation scheme for the knapsack problem.- On the hardness of approximating spanners.- Approximating circular arc colouring and bandwidth allocation in all-optical ring networks.- Approximating maximum independent set in k-clique-free graphs.- Approximating an interval scheduling problem.- Finding dense subgraphs with semidefinite programming.- Best possible approximation algorithm for MAX SAT with cardinality constraint.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

This book constitutes the joint refereed proceedings of the 14th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2011, and the 15th International Workshop on Randomization and Computation, RANDOM 2011, held in Princeton, New Jersey, USA, in August 2011. The volume presents 29 revised full papers of the APPROX 2011 workshop, selected from 66 submissions, and 29 revised full papers of the RANDOM 2011 workshop, selected from 64 submissions. They were carefully reviewed and selected for inclusion in the book. In addition two abstracts of invited talks are included. APPROX focuses on algorithmic and complexity issues surrounding the development of efficient approximate solutions to computationally difficult problems. RANDOM is concerned with applications of randomness to computational and combinatorial problems.