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Volumn 30, Issue 3, 2001, Pages 432-450

On the hardness of approximating spanners

Author keywords

Graph spanners; Hardness of approximation

Indexed keywords

GRAPH THEORY; ROBOTICS; TELECOMMUNICATION NETWORKS; TOPOLOGY;

EID: 0242269933     PISSN: 01784617     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00453-001-0021-y     Document Type: Article
Times cited : (92)

References (32)
  • 4
    • 0004142253 scopus 로고
    • Cambridge University Press, Cambridge
    • B. Bollobás, Combinatorics, Cambridge University Press, Cambridge, 1986.
    • (1986) Combinatorics
    • Bollobás, B.1
  • 5
    • 84949660797 scopus 로고    scopus 로고
    • NP-completeness results for minimum planar spanners
    • Lecture Notes in Computer Science 1335, Springer-Verlag, Berlin
    • U. Brandes and D. Handke, NP-completeness results for minimum planar spanners, Proc. 23rd Workshop on Graph-Theoretic Concepts in Computer Science (WG97), Lecture Notes in Computer Science 1335, Springer-Verlag, Berlin, 1997, pp. 85-99.
    • (1997) Proc. 23rd Workshop on Graph-Theoretic Concepts in Computer Science (WG97) , pp. 85-99
    • Brandes, U.1    Handke, D.2
  • 6
    • 0000182415 scopus 로고
    • A measure of asymptotic efficiency for tests of hypothesis based on the sum of observations
    • H. Chernoff, A measure of asymptotic efficiency for tests of hypothesis based on the sum of observations, Ann. Math. Statist., 23 (1952), 493-507.
    • (1952) Ann. Math. Statist. , vol.23 , pp. 493-507
    • Chernoff, H.1
  • 7
    • 0242375715 scopus 로고
    • There is a planar graph almost as good as the complete graph
    • L. P. Chew, There is a planar graph almost as good as the complete graph, J. Comput. System Sci., (1989), 205-219.
    • (1989) J. Comput. System Sci. , pp. 205-219
    • Chew, L.P.1
  • 8
    • 0242375714 scopus 로고
    • NP-completeness of minimum spanner problems
    • L. Cai, NP-completeness of minimum spanner problems, Discrete Appl. Math., 9 (1993), 81-100.
    • (1993) Discrete Appl. Math. , vol.9 , pp. 81-100
    • Cai, L.1
  • 10
    • 84969372792 scopus 로고
    • Spanners in graphs of bounded degree
    • L. Cai and M. Keil, Spanners in graphs of bounded degree, Networks, 24 (1994), 187-194.
    • (1994) Networks , vol.24 , pp. 187-194
    • Cai, L.1    Keil, M.2
  • 14
    • 0026991175 scopus 로고
    • Two-prover one-round proof systems: Their power and their problems
    • U. Feige and L. Lovász, Two-prover one-round proof systems: their power and their problems, Proc. 24th ACM Symp. on Theory of Computing, 1992, pp. 733-741.
    • (1992) Proc. 24th ACM Symp. on Theory of Computing , pp. 733-741
    • Feige, U.1    Lovász, L.2
  • 15
    • 0024610615 scopus 로고
    • A fast parametric maximum flow algorithm and applications
    • G. Gallo, M. D. Grigoriadis, and R. E. Tarjan, A fast parametric maximum flow algorithm and applications, SIAM J. Comput., 18 (1989), 30-55.
    • (1989) SIAM J. Comput. , vol.18 , pp. 30-55
    • Gallo, G.1    Grigoriadis, M.D.2    Tarjan, R.E.3
  • 16
    • 0016349356 scopus 로고
    • Approximation algorithms for combinatorial problems
    • D. S. Johnson, Approximation algorithms for combinatorial problems, J. Comput. System Sci., 9 (1974), 256-278.
    • (1974) J. Comput. System Sci. , vol.9 , pp. 256-278
    • Johnson, D.S.1
  • 17
    • 0003564254 scopus 로고
    • Generating sparse 2-spanners
    • G. Kortsarz and D. Peleg, Generating sparse 2-spanners, J. Algorithms, 17 (1994), 222-236.
    • (1994) J. Algorithms , vol.17 , pp. 222-236
    • Kortsarz, G.1    Peleg, D.2
  • 18
    • 0000203509 scopus 로고
    • On the ratio of integral and fractional covers
    • L. Lovász, On the ratio of integral and fractional covers, Discrete Math., 13 (1975), 383-390.
    • (1975) Discrete Math. , vol.13 , pp. 383-390
    • Lovász, L.1
  • 19
    • 0026478383 scopus 로고
    • There is a planar graph almost as good as the complete graph and as short as minimum spanning trees
    • C. Levcopoulos and A. Lingas, There is a planar graph almost as good as the complete graph and as short as minimum spanning trees, Algorithmica, 8 (1992), 251-256.
    • (1992) Algorithmica , vol.8 , pp. 251-256
    • Levcopoulos, C.1    Lingas, A.2
  • 21
    • 84979226698 scopus 로고
    • Additive graph spanners
    • A. L. Liestman and T. C. Shermer, Additive graph spanners, Nefworks, 23 (1993), 343-364.
    • (1993) Nefworks , vol.23 , pp. 343-364
    • Liestman, A.L.1    Shermer, T.C.2
  • 25
    • 0024701852 scopus 로고
    • A tradeoff between space and efficiency for routing tables
    • D. Peleg and E. Upfal, A tradeoff between space and efficiency for routing tables, J. Assoc. Comput. Mach., 1989, 510-530.
    • (1989) J. Assoc. Comput. Mach. , pp. 510-530
    • Peleg, D.1    Upfal, E.2
  • 26
    • 0024715435 scopus 로고
    • An Optimal Synchronizer for the Hypercube
    • D. Peleg and J. D. Ullman, An Optimal Synchronizer for the Hypercube, SIAM J. Comput., 18 (1989), 740-747.
    • (1989) SIAM J. Comput. , vol.18 , pp. 740-747
    • Peleg, D.1    Ullman, J.D.2
  • 29
    • 0030714232 scopus 로고    scopus 로고
    • A subconstant error probability low degree test, and a subconstant error probability PCP characterization of NP
    • R. Raz and S. Safra, A subconstant error probability low degree test, and a subconstant error probability PCP characterization of NP, Proc. 29th ACM Symp. on Theory of Computing, 1997, pp. 475-484.
    • (1997) Proc. 29th ACM Symp. on Theory of Computing , pp. 475-484
    • Raz, R.1    Safra, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.