메뉴 건너뛰기




Volumn , Issue , 2004, Pages 281-290

Bypassing the embedding: Algorithms for low dimensional metrics

Author keywords

Distance Labels; Doubling Metrics; PTAS; Routing Schemes; TSP

Indexed keywords

DISTANCE LABELS; DOUBLING METRICS; PTAS; ROUTING SCHEMES; TSP;

EID: 4544336800     PISSN: 07349025     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (219)

References (45)
  • 1
    • 0029249995 scopus 로고
    • A graph-theoretic game and its application to the k-server problem
    • N. Alon, R. M. Karp, D. Peleg, and D. West. A graph-theoretic game and its application to the k-server problem. SIAM J. Comput. 24(1):78-100, 1995.
    • (1995) SIAM J. Comput. , vol.24 , Issue.1 , pp. 78-100
    • Alon, N.1    Karp, R.M.2    Peleg, D.3    West, D.4
  • 2
    • 0030413554 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean TSP and other geometric problems
    • Burlington, Vermont, 14-16 Oct. IEEE
    • S. Arora. Polynomial time approximation schemes for Euclidean TSP and other geometric problems. In 37th Annual Symposium on Foundations of Computer Science, pages 2-11, Burlington, Vermont, 14-16 Oct. 1996. IEEE.
    • (1996) 37th Annual Symposium on Foundations of Computer Science , pp. 2-11
    • Arora, S.1
  • 3
    • 0032156828 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems
    • S. Arora. Polynomial time approximation schemes for Euclidean traveling salesman and other geometric problems. J. ACM, 45(5):753-782, 1998.
    • (1998) J. ACM , vol.45 , Issue.5 , pp. 753-782
    • Arora, S.1
  • 4
    • 4544261402 scopus 로고    scopus 로고
    • Approximation schemes for NP-hard geometric optimization problems: A survey
    • S. Arora. Approximation schemes for NP-hard geometric optimization problems: a survey. Mathematical Programming, 97(1-2):43-69, 2003.
    • (2003) Mathematical Programming , vol.97 , Issue.1-2 , pp. 43-69
    • Arora, S.1
  • 7
    • 0000617715 scopus 로고
    • Improved routing strategies with succinct tables
    • B. Awerbuch, A. B. Noy, N. Linial, and D. Peleg. Improved routing strategies with succinct tables. J. Algorithms, 11(3):307-341, 1990.
    • (1990) J. Algorithms , vol.11 , Issue.3 , pp. 307-341
    • Awerbuch, B.1    Noy, A.B.2    Linial, N.3    Peleg, D.4
  • 8
    • 0000813380 scopus 로고
    • Routing with polynomial communication-space trade-off
    • B. Awerbuch and D. Peleg. Routing with polynomial communication-space trade-off. SIAM J. Discret. Math., 5(2):151-162, 1992.
    • (1992) SIAM J. Discret. Math. , vol.5 , Issue.2 , pp. 151-162
    • Awerbuch, B.1    Peleg, D.2
  • 9
    • 0030393774 scopus 로고    scopus 로고
    • Probabilistic approximation of metric spaces and its algorithmic applications
    • IEEE
    • Y. Bartal. Probabilistic approximation of metric spaces and its algorithmic applications. In 37th Annual Symposium on Foundations of Computer Science, pages 184-193. IEEE, 1996.
    • (1996) 37th Annual Symposium on Foundations of Computer Science , pp. 184-193
    • Bartal, Y.1
  • 13
    • 0029239056 scopus 로고
    • A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields
    • P. B. Callahan and S. R. Kosaraju. A decomposition of multidimensional point sets with applications to k-nearest-neighbors and n-body potential fields. J. ACM, 42(1):67-90, 1995.
    • (1995) J. ACM , vol.42 , Issue.1 , pp. 67-90
    • Callahan, P.B.1    Kosaraju, S.R.2
  • 15
    • 0033453107 scopus 로고    scopus 로고
    • Nearest neighbor queries in metric spaces
    • K. L. Clarkson. Nearest neighbor queries in metric spaces. Discrete Comput. Geom., 22(1):63-93, 1999.
    • (1999) Discrete Comput. Geom. , vol.22 , Issue.1 , pp. 63-93
    • Clarkson, K.L.1
  • 16
    • 0000989779 scopus 로고    scopus 로고
    • Compact routing with minimum stretch
    • L. J. Cowen. Compact routing with minimum stretch. J. Algorithms, 38(1):170-183, 2001.
    • (2001) J. Algorithms , vol.38 , Issue.1 , pp. 170-183
    • Cowen, L.J.1
  • 21
    • 0141519354 scopus 로고    scopus 로고
    • Compact and localized distributed data structures
    • C. Gavoille and D. Peleg. Compact and localized distributed data structures. Distrib. Comput., 16(2-3):111-120, 2003.
    • (2003) Distrib. Comput. , vol.16 , Issue.2-3 , pp. 111-120
    • Gavoille, C.1    Peleg, D.2
  • 33
    • 0038496290 scopus 로고    scopus 로고
    • Bilipschitz embeddings of metric spaces into space forms
    • U. Lang and C. Plaut. Bilipschitz embeddings of metric spaces into space forms. Geom. Dedicata, 87(1-3):285-307, 2001.
    • (2001) Geom. Dedicata , vol.87 , Issue.1-3 , pp. 285-307
    • Lang, U.1    Plaut, C.2
  • 34
    • 0000652415 scopus 로고
    • The geometry of graphs and some of its algorithmic applications
    • N. Linial, E. London, and Y. Rabinovich. The geometry of graphs and some of its algorithmic applications. Combinatorica, 15(2):215-245, 1995.
    • (1995) Combinatorica , vol.15 , Issue.2 , pp. 215-245
    • Linial, N.1    London, E.2    Rabinovich, Y.3
  • 35
    • 0032667193 scopus 로고    scopus 로고
    • Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems
    • Aug.
    • J. S. B. Mitchell. Guillotine subdivisions approximate polygonal subdivisions: A simple polynomial-time approximation scheme for geometric TSP, k-MST, and related problems. SIAM Journal on Computing, 28(4):1298-1309, Aug. 1999.
    • (1999) SIAM Journal on Computing , vol.28 , Issue.4 , pp. 1298-1309
    • Mitchell, J.S.B.1
  • 38
    • 0034423261 scopus 로고    scopus 로고
    • Proximity preserving labeling schemes
    • D. Peleg. Proximity preserving labeling schemes. Journal of Graph Theory, 33:167-176, 2000.
    • (2000) Journal of Graph Theory , vol.33 , pp. 167-176
    • Peleg, D.1
  • 39
    • 0024701852 scopus 로고
    • A trade-off between space and efficiency for routing tables
    • D. Peleg and E. Upfal. A trade-off between space and efficiency for routing tables. J. ACM, 36(3):510-530, 1989.
    • (1989) J. ACM , vol.36 , Issue.3 , pp. 510-530
    • Peleg, D.1    Upfal, E.2
  • 40
    • 0000126694 scopus 로고
    • Fast approximation algorithms for fractional packing and covering problems
    • S. A. Plotkin, D. B. Shmoys, and Éva Tardos. Fast approximation algorithms for fractional packing and covering problems. Math. Oper. Res., 20(2):257-301, 1995.
    • (1995) Math. Oper. Res. , vol.20 , Issue.2 , pp. 257-301
    • Plotkin, S.A.1    Shmoys, D.B.2    Tardos, É.3
  • 42
    • 0034704229 scopus 로고    scopus 로고
    • A global geometric framework for nonlinear dimensionality reduction
    • J. B. Tenenbaum, V. de Silva, and J. C. Langford. A global geometric framework for nonlinear dimensionality reduction. Science, 290(5500):2319-2323, 2000.
    • (2000) Science , vol.290 , Issue.5500 , pp. 2319-2323
    • Tenenbaum, J.B.1    De Silva, V.2    Langford, J.C.3
  • 45
    • 0343773302 scopus 로고    scopus 로고
    • When Hamming meets Euclid: The approximability of geometric TSP and steiner tree
    • L. Trevisan. When Hamming meets Euclid: The approximability of geometric TSP and steiner tree. SICOMP: SIAM Journal on Computing, 30, 2000.
    • (2000) SICOMP: SIAM Journal on Computing , vol.30
    • Trevisan, L.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.