33 research outputs found

    Feedback Set Problems

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    . This paper is a short survey of feedback set problems. It will be published in Encyclopedia of Optimization, Kluwer Academic Publishers, 2000. 1. INTRODUCTION In recent years feedback set problems have been the subject of growing interest. They have found applications in many fields, including deadlock prevention [89], program verification [78], and Bayesian inference [2]. Therefore, it is natural that in the past few years there have been intensive efforts on exact and approximation algorithms for these kinds of problems. Exact algorithms have been proposed for solving the problems restricted to special classes of graphs as well as several approximation algorithms with provable bounds for the cases that are not known to be polynomially solvable. The most general feedback set problem consists in finding a minimum-weight (or minimum cardinality) set of vertices (arcs) that meets all cycles in a collection C of cycles in a graph (G,w), where w is a nonnegative function defined on th..
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