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A tabu search heuristic based on k-diamonds for the weighted feedback vertex set problem

Record type: Conference or Workshop Item (Paper)

Given an undirected and vertex weighted graph G = (V,E,w), the Weighted Feedback Vertex Problem (WFVP) consists of finding a subset F ? V of vertices of minimum weight such that each cycle in G contains at least one vertex in F. The WFVP on general graphs is known to be NP-hard and to be polynomially solvable on some special classes of graphs (e.g., interval graphs, co-comparability graphs, diamond graphs). In this paper we introduce an exten- sion of diamond graphs, namely the k-diamond graphs, and give a dynamic pro- gramming algorithm to solve WFVP in linear time on this class of graphs. Other than solving an open question, this algorithm allows an efficient exploration of a neighborhood structure that can be defined by using such a class of graphs. We used this neighborhood structure inside our Iterated Tabu Search heuristic. Our extensive experimental show the effectiveness of this heuristic in improving the solution provided by a 2-approximate algorithm for the WFVPon general graphs.

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Citation

Carrabs, Francesco, Cerulli, Raffaele, Gentili, Monica and Parlato, Gennaro (2011) A tabu search heuristic based on k-diamonds for the weighted feedback vertex set problem At Network Optimization: 5th International Conference, (INOC), Germany. 13 - 16 Jun 2001.

More information

Accepted/In Press date: 2011
Additional Information: Event Dates: June 13-16, 2001
Venue - Dates: Network Optimization: 5th International Conference, (INOC), Germany, 2001-06-13 - 2001-06-16
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 272461
URI: http://eprints.soton.ac.uk/id/eprint/272461
PURE UUID: 2f5460ce-77b3-491c-80f8-3ff67aaad1b8

Catalogue record

Date deposited: 13 Jun 2011 14:25
Last modified: 18 Jul 2017 06:24

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Contributors

Author: Francesco Carrabs
Author: Raffaele Cerulli
Author: Monica Gentili
Author: Gennaro Parlato

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