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Volumn , Issue , 2012, Pages 355-364

Optimal distributed all pairs shortest paths and applications

Author keywords

all pairs shortest paths; approximation; center; congest; diameter; distributed computing; eccentricity; girth; lower bound; message passing; peripheral vertices; radius

Indexed keywords

ALL PAIRS SHORTEST PATHS; APPROXIMATION; CENTER; CONGEST; DIAMETER; ECCENTRICITY; GIRTH; LOWER BOUNDS; PERIPHERAL VERTICES; RADIUS;

EID: 84864981583     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/2332432.2332504     Document Type: Conference Paper
Times cited : (153)

References (49)
  • 2
    • 0032657365 scopus 로고    scopus 로고
    • Fast estimation of diameter and shortest paths (without matrix multiplication)
    • D. Aingworth, C. Chekuri, P. Indyk, and R. Motwani. Fast estimation of diameter and shortest paths (without matrix multiplication). SIAM Journal on Computing (SICOMP), 28(4):1167-1181, 1999.
    • (1999) SIAM Journal on Computing (SICOMP) , vol.28 , Issue.4 , pp. 1167-1181
    • Aingworth, D.1    Chekuri, C.2    Indyk, P.3    Motwani, R.4
  • 5
    • 0000445027 scopus 로고    scopus 로고
    • Finding and counting given length cycles
    • N. Alon, R. Yuster, and U. Zwick. Finding and counting given length cycles. Algorithmica, 17(3):209-223, 1997.
    • (1997) Algorithmica , vol.17 , Issue.3 , pp. 209-223
    • Alon, N.1    Yuster, R.2    Zwick, U.3
  • 11
    • 0020202833 scopus 로고
    • Distributed computation on graphs: Shortest path algorithms
    • K. Chandy and J. Misra. Distributed computation on graphs: Shortest path algorithms. Communications of the ACM (CACM), 25(11):833-837, 1982.
    • (1982) Communications of the ACM (CACM) , vol.25 , Issue.11 , pp. 833-837
    • Chandy, K.1    Misra, J.2
  • 12
    • 0020178318 scopus 로고
    • A distributed algorithm for shortest paths
    • C. Chen. A distributed algorithm for shortest paths. IEEE Transactions on Computers (TC), 100(9):898-899, 1982.
    • (1982) IEEE Transactions on Computers (TC) , vol.100 , Issue.9 , pp. 898-899
    • Chen, C.1
  • 15
    • 3242725453 scopus 로고
    • A more efficient algorithm for the min-plus multiplication
    • W. Dobosiewicz. A more efficient algorithm for the min-plus multiplication. International journal of computer mathematics, 32(1-2):49-60, 1990.
    • (1990) International Journal of Computer Mathematics , vol.32 , Issue.1-2 , pp. 49-60
    • Dobosiewicz, W.1
  • 16
    • 84865022114 scopus 로고    scopus 로고
    • "Tri, tri again": Finding triangles and small subgraphs in a distributed setting
    • D. Dolev, C. Lenzen, and S. Peled. "tri, tri again": Finding triangles and small subgraphs in a distributed setting. CoRR, http://arxiv.org/abs/1201.6652, 2012.
    • (2012) CoRR
    • Dolev, D.1    Lenzen, C.2    Peled, S.3
  • 21
    • 0001843477 scopus 로고
    • New bounds on the complexity of the shortest path problem
    • M. Fredman. New bounds on the complexity of the shortest path problem. SIAM Journal on Computing (SICOMP), 5:83, 1976.
    • (1976) SIAM Journal on Computing (SICOMP) , vol.5 , pp. 83
    • Fredman, M.1
  • 23
    • 3242702293 scopus 로고    scopus 로고
    • Improved algorithm for all pairs shortest paths
    • Y. Han. Improved algorithm for all pairs shortest paths. Information Processing Letters (IPL), 91(5):245-250, 2004.
    • (2004) Information Processing Letters (IPL) , vol.91 , Issue.5 , pp. 245-250
    • Han, Y.1
  • 27
    • 0002990564 scopus 로고    scopus 로고
    • Fast distributed construction of small k-dominating sets and applications
    • S. Kutten and D. Peleg. Fast distributed construction of small k-dominating sets and applications. Journal of Algorithms, 28(1):40-66, 1998.
    • (1998) Journal of Algorithms , vol.28 , Issue.1 , pp. 40-66
    • Kutten, S.1    Peleg, D.2
  • 38
    • 0019007260 scopus 로고
    • Routing techniques used in computer communication networks
    • M. Schwartz and T. Stern. Routing techniques used in computer communication networks. IEEE Transactions on Communications (TC), 28(4):539-552, 1980.
    • (1980) IEEE Transactions on Communications (TC) , vol.28 , Issue.4 , pp. 539-552
    • Schwartz, M.1    Stern, T.2
  • 39
    • 0029509262 scopus 로고
    • On the all-pairs-shortest-path problem in unweighted undirected graphs
    • R. Seidel. On the all-pairs-shortest-path problem in unweighted undirected graphs. Journal of Computer and System Sciences (JCSS), 51(3):400-403, 1995.
    • (1995) Journal of Computer and System Sciences (JCSS) , vol.51 , Issue.3 , pp. 400-403
    • Seidel, R.1
  • 41
    • 0017518725 scopus 로고
    • A correctness proof of a topology information maintenance protocol for a distributed computer network
    • W. Tajibnapis. A correctness proof of a topology information maintenance protocol for a distributed computer network. Communications of the ACM (CACM), 20(7):477-485, 1977.
    • (1977) Communications of the ACM (CACM) , vol.20 , Issue.7 , pp. 477-485
    • Tajibnapis, W.1
  • 42
    • 0001586202 scopus 로고
    • A new upper bound on the complexity of the all pairs shortest path problem
    • T. Takaoka. A new upper bound on the complexity of the all pairs shortest path problem. Information Processing Letters (IPL), 43(4):195-199, 1992.
    • (1992) Information Processing Letters (IPL) , vol.43 , Issue.4 , pp. 195-199
    • Takaoka, T.1
  • 44
  • 45
    • 0347901335 scopus 로고
    • Tech. Rep. RC 8327, IBM TJ Watson Research Center, Yorktown Heights, NY 10598, USA
    • S. Toueg. An all-pairs shortest-paths distributed algorithm. Tech. Rep. RC 8327, IBM TJ Watson Research Center, Yorktown Heights, NY 10598, USA, 1980.
    • (1980) An All-pairs Shortest-paths Distributed Algorithm
    • Toueg, S.1
  • 49
    • 84864987095 scopus 로고    scopus 로고
    • A slightly improved sub-cubic algorithm for the all pairs shortest paths problem with real edge lengths
    • U. Zwick. A slightly improved sub-cubic algorithm for the all pairs shortest paths problem with real edge lengths. Algorithms and Computation, pages 841-843, 2005.
    • (2005) Algorithms and Computation , pp. 841-843
    • Zwick, U.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.