메뉴 건너뛰기




Volumn 4627 LNCS, Issue , 2007, Pages 218-227

Hardness of embedding metric spaces of equal size

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; OPTIMIZATION; PROBLEM SOLVING;

EID: 38049011004     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/978-3-540-74208-1_16     Document Type: Conference Paper
Times cited : (9)

References (15)
  • 1
    • 0032156828 scopus 로고    scopus 로고
    • Polynomial time approximation schemes for Euclidean Traveling Salesman and other Geometric problems
    • Arora, S.: Polynomial time approximation schemes for Euclidean Traveling Salesman and other Geometric problems. Journal of the ACM 45(5), 753-782 (1998)
    • (1998) Journal of the ACM , vol.45 , Issue.5 , pp. 753-782
    • Arora, S.1
  • 2
    • 0032058198 scopus 로고    scopus 로고
    • Proof verification and the hardness of approximation problems
    • Arora, S., Lund, C., Motawani, R., Sudan, M., Szegedy, M.: Proof verification and the hardness of approximation problems. Journal of the ACM 45(3), 501-555 (1998)
    • (1998) Journal of the ACM , vol.45 , Issue.3 , pp. 501-555
    • Arora, S.1    Lund, C.2    Motawani, R.3    Sudan, M.4    Szegedy, M.5
  • 3
    • 34848848456 scopus 로고    scopus 로고
    • Euclidean distortion and the sparsest cut
    • Arora, S., Lee, J.R., Naor, A.: Euclidean distortion and the sparsest cut. In: Proc. STOC, pp. 553-562 (2005)
    • (2005) Proc. STOC , pp. 553-562
    • Arora, S.1    Lee, J.R.2    Naor, A.3
  • 4
    • 4544250512 scopus 로고    scopus 로고
    • Expander flows, geometric embeddings and graph partitioning
    • Arora, S., Rao, S., Vazirani, U.V.: Expander flows, geometric embeddings and graph partitioning. In: Proc. STOC, pp. 222-231 (2004)
    • (2004) Proc. STOC , pp. 222-231
    • Arora, S.1    Rao, S.2    Vazirani, U.V.3
  • 5
    • 0031651077 scopus 로고    scopus 로고
    • Probabilistic checking of proofs: A new characterization of NP
    • Arora, S., Safra, S.: Probabilistic checking of proofs: A new characterization of NP. Journal of the ACM 45(1), 70-122 (1998)
    • (1998) Journal of the ACM , vol.45 , Issue.1 , pp. 70-122
    • Arora, S.1    Safra, S.2
  • 6
    • 33748074187 scopus 로고    scopus 로고
    • Low-distortion embeddings of general metrics into the line
    • Badoiu, M., Chuzhoy, J., Indyk, P., Sidiropoulos, A.: Low-distortion embeddings of general metrics into the line. In: Proc. STOC, pp. 225-233 (2005)
    • (2005) Proc. STOC , pp. 225-233
    • Badoiu, M.1    Chuzhoy, J.2    Indyk, P.3    Sidiropoulos, A.4
  • 7
    • 0031623888 scopus 로고    scopus 로고
    • On approximating arbitrary metrices by tree metrics
    • Bartal, Y.: On approximating arbitrary metrices by tree metrics. In: Proc. STOC, pp. 161-168 (1998)
    • (1998) Proc. STOC , pp. 161-168
    • Bartal, Y.1
  • 8
    • 51249178997 scopus 로고
    • On Lipschitz embeddings of finite metrics in Hubert space
    • Bourgain, J.: On Lipschitz embeddings of finite metrics in Hubert space. Israel Journal of Mathematics 52, 46-52 (1985)
    • (1985) Israel Journal of Mathematics , vol.52 , pp. 46-52
    • Bourgain, J.1
  • 9
    • 65549141177 scopus 로고    scopus 로고
    • Approximation algorithms for the metric labeling problem via a new linear programming formulation
    • Chekuri, C., Khanna, S., Naor, J., Zosin, L.: Approximation algorithms for the metric labeling problem via a new linear programming formulation. In: Proc. SODA, pp. 109-118 (2001)
    • (2001) Proc. SODA , pp. 109-118
    • Chekuri, C.1    Khanna, S.2    Naor, J.3    Zosin, L.4
  • 10
    • 17744366858 scopus 로고    scopus 로고
    • The hardness of Metric Labeling
    • Chuzhoy, J., Naor, J.: The hardness of Metric Labeling. In: Proc. FOCS, pp. 108-114 (2004)
    • (2004) Proc. FOCS , pp. 108-114
    • Chuzhoy, J.1    Naor, J.2
  • 11
    • 4544291996 scopus 로고    scopus 로고
    • A tight bound on approximating arbitrary metrics by tree metrics
    • Fakcharoenphol, J., Rao, S., Talwar, K.: A tight bound on approximating arbitrary metrics by tree metrics. J. Comput. Syst. Sci. 69(3), 485-497 (2004)
    • (2004) J. Comput. Syst. Sci , vol.69 , Issue.3 , pp. 485-497
    • Fakcharoenphol, J.1    Rao, S.2    Talwar, K.3
  • 12
    • 0002465972 scopus 로고    scopus 로고
    • Algorithmic applications of low-distortion embeddings
    • Indyk, P.: Algorithmic applications of low-distortion embeddings. In: Proc. FOCS, pp. 10-33 (2001)
    • (2001) Proc. FOCS , pp. 10-33
    • Indyk, P.1
  • 13
    • 1842545358 scopus 로고    scopus 로고
    • Approximation algorithms for classification problems with pairwise relationships: Metric labeling and Markov random fields
    • Kleinberg, J., Tardos, E.: Approximation algorithms for classification problems with pairwise relationships: metric labeling and Markov random fields. Journal of the ACM 49, 616-630 (2002)
    • (2002) Journal of the ACM , vol.49 , pp. 616-630
    • Kleinberg, J.1    Tardos, E.2
  • 14
    • 4544263872 scopus 로고    scopus 로고
    • Low distortion maps between point sets
    • Kenyon, C., Rabani, Y., Sinclair, A.: Low distortion maps between point sets. In: Proc. STOC, pp. 272-280 (2004)
    • (2004) Proc. STOC , pp. 272-280
    • Kenyon, C.1    Rabani, Y.2    Sinclair, A.3
  • 15
    • 20744446886 scopus 로고    scopus 로고
    • The complexity of low-distortion embeddings between point sets
    • Papadimitriou, C.H., Safra, S.: The complexity of low-distortion embeddings between point sets. In: Proc. SODA, pp. 112-118 (2005)
    • (2005) Proc. SODA , pp. 112-118
    • Papadimitriou, C.H.1    Safra, S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.