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Volumn 34, Issue 2, 2006, Pages 83-95

Independent set of intersection graphs of convex objects in 2D

Author keywords

Approximation algorithms; Convex objects; Geometric intersection graphs; Maximum independent set

Indexed keywords


EID: 84867921245     PISSN: 09257721     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.comgeo.2005.12.001     Document Type: Article
Times cited : (58)

References (26)
  • 1
    • 0001848776 scopus 로고    scopus 로고
    • Geometric range searching and its relatives
    • B. Chazelle, J.E. Goodman, R. Pollack, American Mathematical Society Providence, RI
    • P.K. Agarwal, and J. Erickson Geometric range searching and its relatives B. Chazelle, J.E. Goodman, R. Pollack, Advances in Discrete and Computational Geometry 1999 American Mathematical Society Providence, RI 1 56
    • (1999) Advances in Discrete and Computational Geometry , pp. 1-56
    • Agarwal, P.K.1    Erickson, J.2
  • 2
    • 0001639796 scopus 로고    scopus 로고
    • Label placement by maximum independent set in rectangles
    • P.K. Agarwal, M. van Kreveld, and S. Suri Label placement by maximum independent set in rectangles Computational Geometry 11 1998 209 218
    • (1998) Computational Geometry , vol.11 , pp. 209-218
    • Agarwal, P.K.1    Van Kreveld, M.2    Suri, S.3
  • 3
    • 0028255806 scopus 로고
    • Approximation algorithms for NP-complete problems on planar graphs
    • B.S. Baker Approximation algorithms for NP-complete problems on planar graphs J. ACM 41 1994 153 180
    • (1994) J. ACM , vol.41 , pp. 153-180
    • Baker, B.S.1
  • 4
    • 0000108833 scopus 로고
    • Decomposable searching problems I: Static-to-dynamic transformation
    • J.L. Bentley, and J.B. Saxe Decomposable searching problems I: Static-to-dynamic transformation J. Algorithms 1 1980 301 358
    • (1980) J. Algorithms , vol.1 , pp. 301-358
    • Bentley, J.L.1    Saxe, J.B.2
  • 5
    • 0037866149 scopus 로고    scopus 로고
    • Efficient approximation algorithms for tiling and packing problems with rectangles
    • P. Berman, B. DasGupta, S. Muthukrishnan, and S. Ramaswami Efficient approximation algorithms for tiling and packing problems with rectangles J. Algorithms 41 2001 443 470
    • (2001) J. Algorithms , vol.41 , pp. 443-470
    • Berman, P.1    Dasgupta, B.2    Muthukrishnan, S.3    Ramaswami, S.4
  • 7
    • 85023304282 scopus 로고
    • Approximating maximum independent sets by excluding subgraphs
    • R. Boppana, M.M. Halldórsson, Approximating maximum independent sets by excluding subgraphs, in: Proc. 2nd Scandinavian Workshop on Algorithm Theory, 1990, pp. 13-25
    • (1990) Proc. 2nd Scandinavian Workshop on Algorithm Theory , pp. 13-25
    • R. Boppana1
  • 8
    • 0038341773 scopus 로고    scopus 로고
    • Polynomial-time approximation schemes for packing and piercing fat objects
    • T.M. Chan Polynomial-time approximation schemes for packing and piercing fat objects J. Algorithms 46 2003 178 189
    • (2003) J. Algorithms , vol.46 , pp. 178-189
    • Chan, T.M.1
  • 9
    • 0345329314 scopus 로고    scopus 로고
    • A note on maximum independent sets in rectangle intersection graphs
    • T.M. Chan A note on maximum independent sets in rectangle intersection graphs Inform. Process. Lett. 89 2004 19 23
    • (2004) Inform. Process. Lett. , vol.89 , pp. 19-23
    • Chan, T.M.1
  • 10
    • 0001387789 scopus 로고
    • A decomposition theorem for partially ordered sets
    • P. Dilworth A decomposition theorem for partially ordered sets Ann. of Math. 51 1950 161 166
    • (1950) Ann. of Math. , vol.51 , pp. 161-166
    • Dilworth, P.1
  • 12
    • 0003638065 scopus 로고
    • On computing the length of the longest increasing subsequence
    • M. Fredman On computing the length of the longest increasing subsequence Discrete Math. 11 1975 29 35
    • (1975) Discrete Math. , vol.11 , pp. 29-35
    • Fredman, M.1
  • 14
    • 13444298768 scopus 로고    scopus 로고
    • Algorithmic Graph Theory and Perfect Graphs
    • North-Holland Amsterdam
    • M.C. Golumbic Algorithmic Graph Theory and Perfect Graphs Annals of Discrete Mathematics vol. 57 2004 North-Holland Amsterdam
    • (2004) Annals of Discrete Mathematics , vol.57
    • Golumbic, M.C.1
  • 18
    • 0005256455 scopus 로고
    • Finding the connected components and a maximum clique of an intersection graph of rectangles in the plane
    • H. Imai, and T. Asano Finding the connected components and a maximum clique of an intersection graph of rectangles in the plane J. Algorithms 4 1983 310 323
    • (1983) J. Algorithms , vol.4 , pp. 310-323
    • Imai, H.1    Asano, T.2
  • 24
    • 51249163054 scopus 로고
    • Some geometric applications of Dilworth's theorem
    • J. Pach, and J. Torocsik Some geometric applications of Dilworth's theorem Discrete Comput. Geom. 12 1994 1 7
    • (1994) Discrete Comput. Geom. , vol.12 , pp. 1-7
    • Pach, J.1    Torocsik, J.2
  • 25


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.