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A linear time algorithm for the minimum Weighted Feedback Vertex Set on diamonds

Carrabs, Francesco, Cerulli, Raffaele, Gentili, Monica and Parlato, Gennaro (2005) A linear time algorithm for the minimum Weighted Feedback Vertex Set on diamonds Inf. Process. Lett., 94, (1), pp. 29-35.

Record type: Article


Given an undirected and vertex weighted graph G, the Weighted Feedback Vertex Problem (WFVP) consists in finding a subset Fsubset of or equal toV 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. In this paper we introduce a new class of graphs, namely the diamond graphs, and give a linear time algorithm to solve WFVP on it.

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Published date: 2005
Organisations: Electronic & Software Systems


Local EPrints ID: 272467
PURE UUID: 9a84fddc-c383-4505-99c0-03f4410afe17

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Date deposited: 13 Jun 2011 14:49
Last modified: 18 Jul 2017 06:24

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

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