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Minimum Weighted Feedback Vertex Set on Diamonds

Carrabs, Francesco, Cerulli, Raffaele, Gentili, Monica and Parlato, Gennaro (2004) Minimum Weighted Feedback Vertex Set on Diamonds Electronic Notes in Discrete Mathematics, 17, pp. 87-91. (doi:10.1016/j.endm.2004.09.001).

Record type: Article

Abstract

Given a vertex weighted graph G, a minimum Weighted Feedback Vertex Set (MWFVS) is a subset F ? V of vertices of minimum weight such that each cycle in G contains at least one vertex in F. The MWFVS on general graph is known to be NP-hard. In this paper we introduce a new class of graphs, namely the diamond graphs, and give a linear time algorithm to solve MWFVS on it. We will discuss, moreover, how this result could be used to effectively improve the approximated solution of any known heuristic to solve MWFVS on a general graph.

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Published date: 2004
Organisations: Electronic & Software Systems

Identifiers

Local EPrints ID: 370687
URI: http://eprints.soton.ac.uk/id/eprint/370687
ISSN: 1571-0653
PURE UUID: 8302bb2e-bf9f-4ae8-979b-7a7212bb4f7b

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Date deposited: 03 Nov 2014 10:00
Last modified: 17 Jul 2017 21:49

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Contributors

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

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