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- W2280164164 abstract "While the picture of approximation complexity class becomes clear for most combinatorial optimization problems, it remains an open question whether Feedback Vertex Set can be approximated within a constant ratio in directed graph case. In this paper we present an approximation algorithm with performance bound L max −1, where L max is the largest length of essential cycles in the graph G(V,E). The worst case bound is (leftlfloor {sqrt {{{left| V right|}^2} - left| V right| - left| E right| + 1} } rightrfloor ) which, in general, is inferior to Seymour’s recent result [14], but becomes a small constant for some graphs. Furthermore, we prove the so-called pseudo ∈-approximate property, i.e. FVS can be divided into a class of disjoint NP -complete subproblems, and our heuristic becomes ∈-approximate for each one of these subproblems.Keywordsapproximationboundfeedback vertex set NP -complete" @default.
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- W2280164164 date "1996-01-01" @default.
- W2280164164 modified "2023-10-17" @default.
- W2280164164 title "A Pseudo ∈-Approximate Algorithm For Feedback Vertex Set" @default.
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- W2280164164 doi "https://doi.org/10.1007/978-1-4613-3437-8_21" @default.
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