메뉴 건너뛰기




Volumn 112, Issue 7, 2012, Pages 277-281

Colorful triangle counting and a MapReduce implementation

Author keywords

Concentration of measure; Graph algorithms; Parallel algorithms; Randomized algorithms

Indexed keywords

CONCENTRATION OF MEASURE; GRAPH ALGORITHMS; MAP-REDUCE; MONOCHROMATIC TRIANGLE; NUMBER OF TRIANGLES; RANDOMIZED ALGORITHMS; UNBIASED ESTIMATES;

EID: 84855778834     PISSN: 00200190     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ipl.2011.12.007     Document Type: Article
Times cited : (153)

References (25)
  • 1
    • 84856704971 scopus 로고    scopus 로고
    • SNAP Stanford Library
    • SNAP Stanford Library, http://snap.stanford.edu/.
  • 3
    • 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 1997 209 223 (Pubitemid 127440916)
    • (1997) Algorithmica (New York) , vol.17 , Issue.3 , pp. 209-223
    • Alon, N.1    Yuster, R.2    Zwick, U.3
  • 4
    • 78650920739 scopus 로고    scopus 로고
    • Counting triangles in large graphs using randomized matrix trace estimation
    • H. Avron, Counting triangles in large graphs using randomized matrix trace estimation, in: Proceedings of KDD-LDMTA 10, 2010.
    • (2010) Proceedings of KDD-LDMTA , vol.10
    • Avron, H.1
  • 8
    • 0001136294 scopus 로고
    • A note on an inequality involving the normal distribution
    • H. Chernoff A note on an inequality involving the normal distribution Annals of Probability 9 3 1981 533 535
    • (1981) Annals of Probability , vol.9 , Issue.3 , pp. 533-535
    • Chernoff, H.1
  • 10
    • 85030321143 scopus 로고    scopus 로고
    • Simplified data processing on large clusters
    • J. Dean, S. Ghemawat, Simplified data processing on large clusters, in: Proceedings of OSDI, 2004, pp. 137-150.
    • (2004) Proceedings of OSDI , pp. 137-150
    • Dean, J.1    Ghemawat, S.2
  • 12
    • 0242299142 scopus 로고    scopus 로고
    • The Infamous Upper Tail
    • DOI 10.1002/rsa.10031
    • S. Janson, and A. Ruciński The infamous upper tail Random Structures and Algorithms 20 2002 317 342 (Pubitemid 37340797)
    • (2002) Random Structures and Algorithms , vol.20 , Issue.3 , pp. 317-342
    • Janson, S.1    Rucinski, A.2
  • 13
    • 38249043088 scopus 로고
    • Random generation of combinatorial structures from a uniform distribution
    • M. Jerrum, L. Valiant, and V. Vazirani Random generation of combinatorial structures from a uniform distribution Theoretical Computer Science 43 2-3 1986 169 188
    • (1986) Theoretical Computer Science , vol.43 , Issue.23 , pp. 169-188
    • Jerrum, M.1    Valiant, L.2    Vazirani, V.3
  • 15
    • 0040735835 scopus 로고    scopus 로고
    • Concentration of multivariate polynomials and its applications
    • J.H. Kim, and V.H. Vu Concentration of multivariate polynomials and its applications Combinatorica 20 3 2000 417 434
    • (2000) Combinatorica , vol.20 , Issue.3 , pp. 417-434
    • Kim, J.H.1    Vu, V.H.2
  • 16
    • 2542554995 scopus 로고    scopus 로고
    • Divide and conquer martingales and the number of triangles in a random graph
    • DOI 10.1002/rsa.10113
    • J.H. Kim, and V.H. Vu Divide and conquer martingales and the number of triangles in a random graph Journal of Random Structures and Algorithms 24 2 2004 166 174 (Pubitemid 38705922)
    • (2004) Random Structures and Algorithms , vol.24 , Issue.2 , pp. 166-174
    • Kim, J.H.1    Vu, V.H.2
  • 18
    • 53449095174 scopus 로고    scopus 로고
    • Main-memory triangle computations for very large (sparse (power-law)) graphs
    • M. Latapy Main-memory triangle computations for very large (sparse (power-law)) graphs Theoretical Computer Science 407 1-3 2008 458 473
    • (2008) Theoretical Computer Science , vol.407 , Issue.13 , pp. 458-473
    • Latapy, M.1
  • 20
    • 27844434308 scopus 로고    scopus 로고
    • Approximating clustering coefficient and transitivity
    • T. Schank, and D. Wagner Approximating clustering coefficient and transitivity Journal of Graph Algorithms and Applications 9 2005 265 275 (Pubitemid 41658049)
    • (2005) Journal of Graph Algorithms and Applications , vol.9 , Issue.2 , pp. 265-275
    • Schank, T.1    Wagner, D.2
  • 21
    • 80052672399 scopus 로고    scopus 로고
    • Counting triangles and the curse of the last reducer
    • doi:10.1145/1963405.1963491 in press
    • S. Suri, V. Vassilvitskii, Counting triangles and the curse of the last reducer, in: 20th World Wide Web Conference (WWW 11), 2011, in press, doi:10.1145/1963405.1963491.
    • (2011) 20th World Wide Web Conference (WWW 11)
    • Suri, S.1    Vassilvitskii, V.2
  • 22
    • 67049138457 scopus 로고    scopus 로고
    • Fast counting of triangles in large real networks, without counting: Algorithms and laws
    • C.E. Tsourakakis, Fast counting of triangles in large real networks, without counting: Algorithms and laws, in: International Conference on Data Mining (ICDM 08), 2008.
    • (2008) International Conference on Data Mining (ICDM 08)
    • Tsourakakis, C.E.1
  • 25
    • 0034215936 scopus 로고    scopus 로고
    • On the concentration of multivariate polynomials with small expectation
    • V.H. Vu On the concentration of multivariate polynomials with small expectation Random Structures and Algorithms 16 4 2000 344 363
    • (2000) Random Structures and Algorithms , vol.16 , Issue.4 , pp. 344-363
    • Vu, V.H.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.