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Combinatorial Optimization — Eureka, You Shrink!

Volume 2570 of the series Lecture Notes in Computer Science pp 185-207

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Exact Algorithms for NP-Hard Problems: A Survey

  • Gerhard J. WoegingerAffiliated withDepartment of Mathematics, University of Twente

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Abstract

We discuss fast exponential time solutions for NP-complete problems. We survey known results and approaches, we provide pointers to the literature, and we discuss several open problems in this area. The list of discussed NP-complete problems includes the travelling salesman problem, scheduling under precedence constraints, satisfiability, knapsack, graph coloring, independent sets in graphs, bandwidth of a graph, and many more.