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Page 1: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 2: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 3: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 4: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 5: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 6: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 7: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 8: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 9: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 10: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction
Page 11: 6.889 lecture 10 Oct 20 - courses.csail.mit.educourses.csail.mit.edu/6.889/fall11/lectures/L10.pdf · [FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos. Contraction

References

[DFHT05] Erik D. Demaine, Fedor V. Fomin, Mohammad Taghi Haji-aghayi, and Dimitrios M. Thilikos. Subexponential parame-terized algorithms on bounded-genus graphs and H-minor-freegraphs. J. ACM, 52(6):866–893, 2005.

[DH05a] Erik D. Demaine and Mohammad Taghi Hajiaghayi. Bidimen-sionality: new connections between FPT algorithms and PTASs.In SODA ’05: Proceedings of the 16th annual ACM-SIAM Sym-posium on Discrete Algorithms, pages 590–601, Philadelphia,PA, USA, 2005.

[DH05b] Erik D. Demaine and MohammadTaghi Hajiaghayi. Graphs ex-cluding a fixed minor have grids as large as treewidth, with com-binatorial and algorithmic applications through bidimensional-ity. In SODA ’05: Proceedings of the 16th annual ACM-SIAMSymposium on Discrete Algorithms, pages 682–689, Philadel-phia, PA, USA, 2005. Society for Industrial and Applied Math-ematics.

[FGT09] Fedor V. Fomin, Petr A. Golovach, and Dimitrios M. Thilikos.Contraction bidimensionality: The accurate picture. In ESA’09: Proceedings of the 17th annual European Symposium on Al-gorithms, pages 706–717, 2009.

[FLRS11] Fedor V. Fomin, Daniel Lokshtanov, Venkatesh Raman, andSaket Saurabh. Bidimensionality and EPTAS. In SODA ’11:Proceedings of the 22nd annual ACM-SIAM Symposium on Dis-crete Algorithms, pages 748–759, 2011.

[FLST10] Fedor V. Fomin, Daniel Lokshtanov, Saket Saurabh, and Dim-itrios M. Thilikos. Bidimensionality and kernels. In SODA ’10:Proceedings of the 21st annual ACM-SIAM Symposium on Dis-crete Algorithms, pages 503–510, 2010.

[RST94] Neil Robertson, Paul Seymour, and Robin Thomas. Quicklyexcluding a planar graph. J. Comb. Theory Ser. B, 62(2):323–348, 1994.