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1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor

Identificadors del recurs

Demaine, E., Hajiaghayi, M., Thilikos, D. "1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor". 2002.

http://hdl.handle.net/2117/97497

Procedència

(Universitat Politècnica de Catalunya. UPCommons - Recerca)

Fitxa

Títol:: 1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor
Matèria:: Àrees temàtiques de la UPC::Informàtica; Treewidth of graphs; Polynomial-time constant-factor approximation algorithms
Descripció:: We give polynomial-time constant-factor approximation algorithms for the treewidth and branchwidth of any H-minor-free graph for a given graph H with crossing number at most 1. The approximation factors are 1.5 for treewidth and 2.25 for branchwidth. In particular, our result directly applies to classes of nonplanar graphs such as K_{5}-minor-free graphs and K_{3,3}-minor-free graphs. Along the way, we present a polynomial-time algorithm to decompose H-minor-free graphs into planar graphs and graphs of treewidth at most c_H (a constant dependent on H) using clique sums. This result has several applications in designing fully polynomial-time approximation schemes and fixed-parameter algorithms for many NP-complete problems on these graphs.; Postprint (published version)
Idioma:: English
Relació:: LSI-02-40-R
Autor/Productor:: Demaine, Erik D.; Hajiaghayi, Mohammad Taghi; Thilikos Touloupas, Dimitrios
Altres col·laboradors/productors:: Universitat Politècnica de Catalunya. Departament de Ciències de la Computació
Drets:: Open Access
Data:: 2002-05
Tipus de recurs:: External research report
Format:: 11 p.; application/postscript

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2. < dc:creator > Demaine, Erik D. </ dc:creator >
3. < dc:creator > Hajiaghayi, Mohammad Taghi </ dc:creator >
4. < dc:creator > Thilikos Touloupas, Dimitrios </ dc:creator >
5. < dc:contributor > Universitat Politècnica de Catalunya. Departament de Ciències de la Computació </ dc:contributor >
6. < dc:subject > Àrees temàtiques de la UPC::Informàtica </ dc:subject >
7. < dc:subject > Treewidth of graphs </ dc:subject >
8. < dc:subject > Polynomial-time constant-factor approximation algorithms </ dc:subject >
9. < dc:description > We give polynomial-time constant-factor approximation algorithms for the treewidth and branchwidth of any H-minor-free graph for a given graph H with crossing number at most 1. The approximation factors are 1.5 for treewidth and 2.25 for branchwidth. In particular, our result directly applies to classes of nonplanar graphs such as K_{5}-minor-free graphs and K_{3,3}-minor-free graphs. Along the way, we present a polynomial-time algorithm to decompose H-minor-free graphs into planar graphs and graphs of treewidth at most c_H (a constant dependent on H) using clique sums. This result has several applications in designing fully polynomial-time approximation schemes and fixed-parameter algorithms for many NP-complete problems on these graphs. </ dc:description >
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7. < dc:subject > Treewidth of graphs </ dc:subject >
8. < dc:subject > Polynomial-time constant-factor approximation algorithms </ dc:subject >
9. < dcterms:abstract > We give polynomial-time constant-factor approximation algorithms for the treewidth and branchwidth of any H-minor-free graph for a given graph H with crossing number at most 1. The approximation factors are 1.5 for treewidth and 2.25 for branchwidth. In particular, our result directly applies to classes of nonplanar graphs such as K_{5}-minor-free graphs and K_{3,3}-minor-free graphs. Along the way, we present a polynomial-time algorithm to decompose H-minor-free graphs into planar graphs and graphs of treewidth at most c_H (a constant dependent on H) using clique sums. This result has several applications in designing fully polynomial-time approximation schemes and fixed-parameter algorithms for many NP-complete problems on these graphs. </ dcterms:abstract >
10. < dcterms:dateAccepted > 2016-11-30T11:38:22Z </ dcterms:dateAccepted >
11. < dcterms:available > 2016-11-30T11:38:22Z </ dcterms:available >
12. < dcterms:issued > 2002-05 </ dcterms:issued >
13. < dc:type > External research report </ dc:type >
14. < dc:identifier type =" dcterms:URI " > http://hdl.handle.net/2117/97497 </ dc:identifier >
15. < dcterms:bibliographicCitation > Demaine, E., Hajiaghayi, M., Thilikos, D. "1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor". 2002. </ dcterms:bibliographicCitation >
16. < dc:language > eng </ dc:language >
17. < dc:relation > LSI-02-40-R </ dc:relation >
18. < dcterms:accessRights > Open Access </ dcterms:accessRights >
19. < dcterms:extent > 11 p. </ dcterms:extent >
20. < dcterms:identifier > https://upcommons.upc.edu/bitstream/2117/97497/2/R02-40.ps.jpg </ dcterms:identifier >
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  1. < dc:title > 1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor </ dc:title >
  2. < dc:creator > Demaine, Erik D. </ dc:creator >
  3. < dc:creator > Hajiaghayi, Mohammad Taghi </ dc:creator >
  4. < dc:creator > Thilikos Touloupas, Dimitrios </ dc:creator >
  5. < dc:contributor > Universitat Politècnica de Catalunya. Departament de Ciències de la Computació </ dc:contributor >
  6. < dc:subject > Àrees temàtiques de la UPC::Informàtica </ dc:subject >
  7. < dc:description > We give polynomial-time constant-factor approximation algorithms for the treewidth and branchwidth of any H-minor-free graph for a given graph H with crossing number at most 1. The approximation factors are 1.5 for treewidth and 2.25 for branchwidth. In particular, our result directly applies to classes of nonplanar graphs such as K_{5}-minor-free graphs and K_{3,3}-minor-free graphs. Along the way, we present a polynomial-time algorithm to decompose H-minor-free graphs into planar graphs and graphs of treewidth at most c_H (a constant dependent on H) using clique sums. This result has several applications in designing fully polynomial-time approximation schemes and fixed-parameter algorithms for many NP-complete problems on these graphs. </ dc:description >
  8. < dc:date > 2016-11-30T11:38:22Z </ dc:date >
  9. < dc:date > 2016-11-30T11:38:22Z </ dc:date >
  10. < dc:date > 2002-05 </ dc:date >
  11. < dc:type > External research report </ dc:type >
  12. < dc:identifier > Demaine, E., Hajiaghayi, M., Thilikos, D. "1.5-Approximation for treewidth of graphs excluding a graph with one crossing as a minor". 2002. </ dc:identifier >
  13. < dc:identifier > http://hdl.handle.net/2117/97497 </ dc:identifier >
  14. < dc:language > eng </ dc:language >
  15. < dc:relation > LSI-02-40-R </ dc:relation >
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