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Volumn , Issue , 2011, Pages 1161-1165

Computing the independence number of intersection graphs

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; C (PROGRAMMING LANGUAGE); COMPUTATION THEORY; COMPUTATIONAL GEOMETRY; MAPS; POLYNOMIAL APPROXIMATION;

EID: 79955728653     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611973082.87     Document Type: Conference Paper
Times cited : (76)

References (32)
  • 2
    • 84867921245 scopus 로고    scopus 로고
    • Independent set of intersection graphs of convex objects in 2D
    • P. K. Agarwal and N. H. Mustafa, Independent set of intersection graphs of convex objects in 2D, Comput. Geom. 34 (2006), 83-95.
    • (2006) Comput. Geom. , vol.34 , pp. 83-95
    • Agarwal, P.K.1    Mustafa, N.H.2
  • 3
    • 0000004228 scopus 로고
    • Every planar map is four colorable
    • K. Appel, W. Haken, and J. Koch, Every planar map is four colorable, Illinois J. Math. 21 (1977), 439-567.
    • (1977) Illinois J. Math. , vol.21 , pp. 439-567
    • Appel, K.1    Haken, W.2    Koch, J.3
  • 4
    • 0032058198 scopus 로고    scopus 로고
    • Proof Verification and the Hardness of Approximation Problems
    • S. Arora, C. Lund, R. Motwani, M. Sudan, and M. Szegedy, Proof verification and the hardness of approximation problems, J. ACM 45 (1998), 501-555. (Pubitemid 128506634)
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motwani, R.3    Sudan, M.4    Szegedy, M.5
  • 5
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • S. Arora and S. Safra, Probabilistic checking of proofs: a new characterization of NP, J. ACM 45 (1998). 70-122. (Pubitemid 128615465)
    • (1998) Journal of the ACM , vol.45 , Issue.1 , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 6
    • 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
  • 7
    • 0000168740 scopus 로고
    • On the topology of the genetic fine structure
    • S. Benzer, On the topology of the genetic fine structure, Proc. Nat. Acad. Sci. 45 (1959), 1607-1620.
    • (1959) Proc. Nat. Acad. Sci. , vol.45 , pp. 1607-1620
    • Benzer, S.1
  • 9
    • 1842459431 scopus 로고    scopus 로고
    • Conflict-free colorings of simple geometric regions with applications to frequency assignment in cellular networks
    • G. Even, Z. Lotker, D. Ron, and S. Smorodinsky, Conflict-free colorings of simple geometric regions with applications to frequency assignment in cellular networks, SIAM J. Computing 33 (2003), 94-136.
    • (2003) SIAM J. Computing , vol.33 , pp. 94-136
    • Even, G.1    Lotker, Z.2    Ron, D.3    Smorodinsky, S.4
  • 10
    • 0030100766 scopus 로고    scopus 로고
    • Interactive proofs and the hardness of approximating cliques
    • U. Feige, S. Goldwasser, L. Lovász, S. Safra, and M. Szegedy, Interactive proofs and the hardness of approximating cliques, J. ACM 43 (1996), 268-292.
    • (1996) J. ACM , vol.43 , pp. 268-292
    • Feige, U.1    Goldwasser, S.2    Lovász, L.3    Safra, S.4    Szegedy, M.5
  • 11
    • 1542296101 scopus 로고    scopus 로고
    • Applications of computational geometry to geographic information systems
    • Chapter 7, (J. Sack, J. Urrutia, eds.), North-Holland, Amsterdam
    • L. de Floriani, P. Magillo, and E. Puppo, Applications of computational geometry to geographic information systems, Chapter 7 in: Handbook of Computational Geometry (J. Sack, J. Urrutia, eds.), North-Holland, Amsterdam, 2000, 333-383.
    • (2000) Handbook of Computational Geometry , pp. 333-383
    • De Floriani, L.1    Magillo, P.2    Puppo, E.3
  • 12
    • 50349101645 scopus 로고    scopus 로고
    • Separator theorems and Turán-type results for planar intersection graphs
    • J. Fox and J. Pach, Separator theorems and Turán-type results for planar intersection graphs, Advances in Mathematics 219 (2008), 1070-1080.
    • (2008) Advances in Mathematics , vol.219 , pp. 1070-1080
    • Fox, J.1    Pach, J.2
  • 14
    • 77951258291 scopus 로고    scopus 로고
    • A separator theorem for string graphs and its application
    • J. Fox and J. Pach, A separator theorem for string graphs and its application, Combin. Probab. Comput. 19 (2010), 371-390.
    • (2010) Combin. Probab. Comput. , vol.19 , pp. 371-390
    • Fox, J.1    Pach, J.2
  • 16
    • 0000109157 scopus 로고    scopus 로고
    • Clique is hard to approximate within n1-ε
    • J. Håstad, Clique is hard to approximate within n1-ε, Acta Math. 182 (1999), 105-142.
    • (1999) Acta Math. , vol.182 , pp. 105-142
    • Håstad, J.1
  • 17
    • 0021897852 scopus 로고
    • APPROXIMATION SCHEMES FOR COVERING AND PACKING PROBLEMS IN IMAGE PROCESSING AND VLSI.
    • DOI 10.1145/2455.214106
    • D.S. Hochbaum and W. Maass, Approximation schemes for covering and packing problems in image processing and VLSI, J. ACM 32 (1985), 130-136. (Pubitemid 15599048)
    • (1985) Journal of the ACM , vol.32 , Issue.1 , pp. 130-136
    • Hochbaum Dorit, S.1    Maass Wolfgang2
  • 19
    • 0003037529 scopus 로고
    • Redueibility among combinatorial problems
    • (R.E. Miller and J. W. Thatcher, eds.), Plenum, New York
    • R. Karp, Redueibility among combinatorial problems, in Complexity of Computer Computations (R.E. Miller and J. W. Thatcher, eds.), Plenum, New York, 1972, 85-103.
    • (1972) Complexity of Computer Computations , pp. 85-103
    • Karp, R.1
  • 21
    • 0006113213 scopus 로고
    • Independent set and clique problems in intersection-defined classes of graphs
    • J. Kratochvil and J. Nesetril, INDEPENDENT SET and CLIQUE problems in intersection-defined classes of graphs, Comment. Math. Univ. Carolin. 31 (1990), 85-93.
    • (1990) Comment. Math. Univ. Carolin. , vol.31 , pp. 85-93
    • Kratochvil, J.1    Nesetril, J.2
  • 22
    • 0018457301 scopus 로고
    • A separator theorem for planar graphs
    • R. J. Lipton and R. E. Tarjan, A separator theorem for planar graphs, SIAM J. Appl. Math. 36 (1979), 177-189.
    • (1979) SIAM J. Appl. Math. , vol.36 , pp. 177-189
    • Lipton, R.J.1    Tarjan, R.E.2
  • 23
    • 0001029324 scopus 로고
    • Applications of a planar separator theorem
    • R. J. Lipton and R. E. Tarjain, Applications of a planar separator theorem, SIAM J. Comput. 9 (1980), 615-627.
    • (1980) SIAM J. Comput. , vol.9 , pp. 615-627
    • Lipton, R.J.1    Tarjain, R.E.2
  • 26
    • 0030703027 scopus 로고    scopus 로고
    • Separators for sphere-packings and nearest neighbor graphs
    • G. L. Miller, S.-H. Teng, W. Thurston, and S. A. Vavasis, Separators for sphere-packings and nearest neighbor graphs, J. ACM 44 (1997), 1-29. (Pubitemid 127617696)
    • (1997) Journal of the ACM , vol.44 , Issue.1 , pp. 1-29
    • Miller, G.L.1    Teng, S.-H.2    Thurston, W.3    Vavasis, S.A.4
  • 30
    • 84958953408 scopus 로고    scopus 로고
    • Approximating an interval scheduling problem
    • Approximation Algorithms for Combinatorial Optimization
    • F. Spieksma, Approximating an interval scheduling problem, in: Proceedings of the First International Workshop on Approximation Algorithms for Combinatorial Optimization (APPROX.98), Lecture Notes in Computer Science, vol. 1444, Springer, Berlin, 1998, 169-180. (Pubitemid 128104539)
    • (1998) LECTURE NOTES IN COMPUTER SCIENCE , Issue.1444 , pp. 169-180
    • Spieksma, F.C.R.1
  • 31
    • 84958043682 scopus 로고    scopus 로고
    • An optimisation algorithm for maximum independent set with applications in map labelling
    • Lecture Notes in Computer Science, Springer, Berlin
    • B. Verweij and K. Aardal, An optimisation algorithm for maximum independent set with applications in map labelling, in: Proceedings of the Seventh Annual European Symposium on Algorithms (ESA.99), Lecture Notes in Computer Science, vol. 1643, Springer, Berlin, 1999, 426-437.
    • (1999) Proceedings of the Seventh Annual European Symposium on Algorithms (ESA.99) , vol.1643 , pp. 426-437
    • Verweij, B.1    Aardal, K.2
  • 32
    • 43849088675 scopus 로고    scopus 로고
    • Linear degree extractors and the in-approximability of max clique and chromatic number
    • D. Zuckerman, Linear degree extractors and the in-approximability of max clique and chromatic number, Theory Comput. 3 (2007), 103-128.
    • (2007) Theory Comput. , vol.3 , pp. 103-128
    • Zuckerman, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.