The Steiner tree problem on graphs: inapproximability results

Janka Chlebikova; M. Chlebik

doi:10.1016/j.tcs.2008.06.046

The Steiner tree problem on graphs: inapproximability results

Janka Chlebikova
, M. Chlebik

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Abstract

The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95. Our inapproximability results are stated in a parametric way, and explicit hardness factors would be improved automatically providing gadgets and/or expanders with better parameters.

Original language	English
Pages (from-to)	207-214
Number of pages	8
Journal	Theoretical Computer Science
Volume	406
Issue number	3
DOIs	https://doi.org/10.1016/j.tcs.2008.06.046
Publication status	Published - 31 Oct 2008

Keywords

Steiner tree
graphs
approximation hardness

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steiner-jour-revision.pdf

http://portal.acm.org/citation.cfm?id=1414105.1414423&coll=DL&dl=GUIDE&CFID=29403851&CFTOKEN=59301073

Cite this

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title = "The Steiner tree problem on graphs: inapproximability results",

abstract = "The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95. Our inapproximability results are stated in a parametric way, and explicit hardness factors would be improved automatically providing gadgets and/or expanders with better parameters.",

keywords = "Steiner tree, graphs, approximation hardness",

author = "Janka Chlebikova and M. Chlebik",

note = "Funders: VEGA grant no. 1/3106/06 (Slovakia).",

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AU - Chlebik, M.

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PY - 2008/10/31

Y1 - 2008/10/31

N2 - The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95. Our inapproximability results are stated in a parametric way, and explicit hardness factors would be improved automatically providing gadgets and/or expanders with better parameters.

AB - The Steiner tree problem on weighted graphs seeks a minimum weight subtree containing a given subset of the vertices (terminals). We show that it is NP-hard to approximate the Steiner tree problem within a factor 96/95. Our inapproximability results are stated in a parametric way, and explicit hardness factors would be improved automatically providing gadgets and/or expanders with better parameters.

KW - Steiner tree

KW - graphs

KW - approximation hardness

U2 - 10.1016/j.tcs.2008.06.046

DO - 10.1016/j.tcs.2008.06.046

M3 - Article

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VL - 406

SP - 207

EP - 214

JO - Theoretical Computer Science

JF - Theoretical Computer Science

IS - 3

ER -

The Steiner tree problem on graphs: inapproximability results

Abstract

Keywords

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