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Open AccessArticle

An Efficient Local Search for the Feedback Vertex Set Problem

Key Laboratory of Pattern Recognition and Intelligent Information Processing, Shiling, Institutions of Higher Education of Sichuan Province, Chengdu 610106, China
School of Information Science and Technology, Chengdu University, Chengdu 610106, China
Author to whom correspondence should be addressed.
Algorithms 2013, 6(4), 726-746;
Received: 24 June 2013 / Revised: 7 August 2013 / Accepted: 28 October 2013 / Published: 1 November 2013
PDF [201 KB, uploaded 6 November 2013]


Inspired by many deadlock detection applications, the feedback vertex set is defined as a set of vertices in an undirected graph, whose removal would result in a graph without cycle. The Feedback Vertex Set Problem, known to be NP-complete, is to search for a feedback vertex set with the minimal cardinality to benefit the deadlock recovery. To address the issue, this paper presents NewkLS FVS(LS, local search; FVS, feedback vertex set), a variable depth-based local search algorithm with a randomized scheme to optimize the efficiency and performance. Experimental simulations are conducted to compare the algorithm with recent metaheuristics, and the computational results show that the proposed algorithm can outperform the other state-of-art algorithms and generate satisfactory solutions for most DIMACSbenchmarks. View Full-Text
Keywords: feedback vertex set; local search; variable depth search; heuristic feedback vertex set; local search; variable depth search; heuristic

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This is an open access article distributed under the Creative Commons Attribution License (CC BY 3.0).

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Zhang, Z.; Ye, A.; Zhou, X.; Shao, Z. An Efficient Local Search for the Feedback Vertex Set Problem. Algorithms 2013, 6, 726-746.

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