Minimum Weighted Feedback Vertex Set on Diamonds
Minimum Weighted Feedback Vertex Set on Diamonds
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.
87-91
Carrabs, Francesco
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Cerulli, Raffaele
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Gentili, Monica
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Parlato, Gennaro
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2004
Carrabs, Francesco
8307d568-a1b9-4242-8f6d-adc36030775f
Cerulli, Raffaele
a2108ced-4bd4-48a9-9c1a-03464a9bbdc2
Gentili, Monica
10623d29-eb88-4791-afa3-927640edd544
Parlato, Gennaro
c28428a0-d3f3-4551-a4b5-b79e410f4923
Carrabs, Francesco, Cerulli, Raffaele, Gentili, Monica and Parlato, Gennaro
(2004)
Minimum Weighted Feedback Vertex Set on Diamonds.
Electronic Notes in Discrete Mathematics, 17, .
(doi:10.1016/j.endm.2004.09.001).
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
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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: 14 Mar 2024 18:20
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Contributors
Author:
Francesco Carrabs
Author:
Raffaele Cerulli
Author:
Monica Gentili
Author:
Gennaro Parlato
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