메뉴 건너뛰기




Volumn 4, Issue , 2005, Pages 2371-2378

Ultrafast consensus in small-world networks

Author keywords

Algebraic connectivity; Consensus algorithms; Graph Laplacians; Network robustness; Networked systems; Phase transition; Random matrices; Small world networks

Indexed keywords

ALGEBRAIC CONNECTIVITY; CONSENSUS ALGORITHMS; GRAPH LAPLACIANS; INFORMATION NETWORKS; NETWORK ROBUSTNESS; NETWORKED SYSTEMS; PERCOLATION THEORY; RANDOM MATRICES; SMALL-WORLD NETWORKS;

EID: 23944482529     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (382)

References (44)
  • 1
    • 0038483826 scopus 로고    scopus 로고
    • Emergence of scaling in random networks
    • A.-L. Barabási and R. Albert. Emergence of scaling in random networks. Science, 286:509-512, 1999.
    • (1999) Science , vol.286 , pp. 509-512
    • Barabási, A.-L.1    Albert, R.2
  • 2
    • 18744421488 scopus 로고    scopus 로고
    • Mean-field theory for scale-free random networks
    • A.-L. Barabási, R. Albert, and H. Jeong. Mean-field theory for scale-free random networks. Physica A, 272:173-197, 1999.
    • (1999) Physica A , vol.272 , pp. 173-197
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 3
    • 0342521525 scopus 로고    scopus 로고
    • Scale-free characteristics of random networks: The topology of the world-wide web
    • A.-L. Barabási, R. Albert, and H. Jeong. Scale-free characteristics of random networks: the topology of the world-wide web. Physica A, 281:69-77, 2000.
    • (2000) Physica A , vol.281 , pp. 69-77
    • Barabási, A.-L.1    Albert, R.2    Jeong, H.3
  • 8
    • 0000324960 scopus 로고
    • Eigenvalues and condition numbers of random matrices
    • Oct.
    • A. Edelman. Eigenvalues and condition numbers of random matrices. SIAM J. Matrix Analysis, 9:543-560, Oct. 1988.
    • (1988) SIAM J. Matrix Analysis , vol.9 , pp. 543-560
    • Edelman, A.1
  • 12
    • 0001350119 scopus 로고
    • Algebraic connectivity of graphs
    • M. Fiedler. Algebraic connectivity of graphs. Czechoslovak Mathematical Journal, 23(98):298-305, 1973.
    • (1973) Czechoslovak Mathematical Journal , vol.23 , Issue.98 , pp. 298-305
    • Fiedler, M.1
  • 16
    • 0038548185 scopus 로고    scopus 로고
    • Coordination of groups of mobile agents using nearest neighbor rules
    • June
    • A. Jadbabaie, J. Lin, and A. S. Morse. Coordination of groups of mobile agents using nearest neighbor rules. The IEEE Trans. on Automatic Control, 48(6):988-1001, June 2003.
    • (2003) The IEEE Trans. on Automatic Control , vol.48 , Issue.6 , pp. 988-1001
    • Jadbabaie, A.1    Lin, J.2    Morse, A.S.3
  • 17
    • 0014489272 scopus 로고
    • Metabolic stability and epigenesis in randomly constructed genetic nets
    • S. A. Kauffman. Metabolic stability and epigenesis in randomly constructed genetic nets. J. of Theoretical Biology, 22(3):437-467, 1969.
    • (1969) J. of Theoretical Biology , vol.22 , Issue.3 , pp. 437-467
    • Kauffman, S.A.1
  • 18
    • 84990585743 scopus 로고
    • Symmetry and phaselocking in chains of weakly coupled oscillators
    • N. Kopell and G. B. Ermentrout. Symmetry and phaselocking in chains of weakly coupled oscillators. Communications in Pure and Appl. Math., 39:623-660, 1986.
    • (1986) Communications in Pure and Appl. Math. , vol.39 , pp. 623-660
    • Kopell, N.1    Ermentrout, G.B.2
  • 20
    • 0004163930 scopus 로고
    • Academic Press, New York, 2nd edition
    • M. L. Mehta. Random Matrices. Academic Press, New York, 2nd edition, 1991.
    • (1991) Random Matrices
    • Mehta, M.L.1
  • 21
    • 33645381545 scopus 로고    scopus 로고
    • Distributed averaging in a peer-to-peer network
    • submitted to
    • M. Mehyar, D. Spanos, and S. H. Low. Distributed averaging in a peer-to-peer network, submitted to IEEE Infocom, 2005.
    • (2005) IEEE Infocom
    • Mehyar, M.1    Spanos, D.2    Low, S.H.3
  • 23
    • 0002687371 scopus 로고
    • The small world problem
    • S. Milgram. The small world problem. Psychology Today, 2:60-67, 1967.
    • (1967) Psychology Today , vol.2 , pp. 60-67
    • Milgram, S.1
  • 24
    • 0025567093 scopus 로고
    • Synchronization of pulse-coupled biological oscillators
    • R. E. Mirollo and S. H. Strogatz. Synchronization of pulse-coupled biological oscillators. SIAM J. Appl. Math., 50:1645-1662, 1990.
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 1645-1662
    • Mirollo, R.E.1    Strogatz, S.H.2
  • 26
    • 85128566920 scopus 로고    scopus 로고
    • Leaderless coordination via bidirectional and unidirectional time-dependent communication
    • L. Moreau. Leaderless coordination via bidirectional and unidirectional time-dependent communication. Proc. of the 42nd IEEE Conference on Decision and Control, 2004.
    • (2004) Proc. of the 42nd IEEE Conference on Decision and Control
    • Moreau, L.1
  • 27
    • 0035395881 scopus 로고    scopus 로고
    • Scietific collaboration networks. I. network construction and fundamental results
    • M. E. J. Newman. Scietific collaboration networks. I. network construction and fundamental results. Physical Review E, 64(1):016131-1-016131- 8, 2001.
    • (2001) Physical Review E , vol.64 , Issue.1
    • Newman, M.E.J.1
  • 28
    • 0038718854 scopus 로고    scopus 로고
    • The structure and function of complex networks
    • M. E. J. Newman. The structure and function of complex networks. SIAM Review, 45:167-256, 2003.
    • (2003) SIAM Review , vol.45 , pp. 167-256
    • Newman, M.E.J.1
  • 29
    • 0034599275 scopus 로고    scopus 로고
    • Mean-field solution of the small-world network model
    • April
    • M. E. J. Newman, C. Moore, and D. J. Watts. Mean-field solution of the small-world network model. Physical Review Letters, 84:3201-3204, April 2000.
    • (2000) Physical Review Letters , vol.84 , pp. 3201-3204
    • Newman, M.E.J.1    Moore, C.2    Watts, D.J.3
  • 30
    • 4344586379 scopus 로고    scopus 로고
    • Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment
    • (to appear), August
    • P. Ogren, E. Fiorelli, and N. E. Leonard. Cooperative control of mobile sensor networks: adaptive gradient climbing in a distributed environment. IEEE Trans. on Automatic Control (to appear), August 2004.
    • (2004) IEEE Trans. on Automatic Control
    • Ogren, P.1    Fiorelli, E.2    Leonard, N.E.3
  • 31
    • 33645410351 scopus 로고    scopus 로고
    • Ultrafast consensus on small-world networks
    • California Institute of Technology, Control and Dynamical Systems, Pasadena, California, Sep.
    • R. Olfati-Saber. Ultrafast Consensus on Small-World Networks. Technical Report 2004-007, California Institute of Technology, Control and Dynamical Systems, Pasadena, California, Sep. 2004.
    • (2004) Technical Report , vol.2004 , Issue.7
    • Olfati-Saber, R.1
  • 32
    • 33645010715 scopus 로고    scopus 로고
    • Flocking for multi-agent dynamic systems: Theory and algorithms
    • California Institute of Technology, Control and Dynamical Systems, Pasadena. California, June
    • R. Olfati-Saber. Flocking for Multi-Agent Dynamic Systems: Theory and Algorithms. Technical Report 2004-005, California Institute of Technology, Control and Dynamical Systems, Pasadena. California, June 2004, http://resolver.caltech.edu/CaltechCDSTR:2004.005.
    • (2004) Technical Report , vol.2004 , Issue.5
    • Olfati-Saber, R.1
  • 33
    • 4644244041 scopus 로고    scopus 로고
    • Consensus problems in networks of agents with switching topology and time-delays
    • Sep.
    • R. Olfati-Saber and R. M. Murray. Consensus problems in networks of agents with switching topology and time-delays. The IEEE Transactions on Automatic Control, 49(9): 1520-1533, Sep. 2004.
    • (2004) The IEEE Transactions on Automatic Control , vol.49 , Issue.9 , pp. 1520-1533
    • Olfati-Saber, R.1    Murray, R.M.2
  • 34
    • 8744245199 scopus 로고    scopus 로고
    • Consensus of information under dynamically changing interaction topologies
    • W. Ren and R. W. Beard. Consensus of Information Under Dynamically Changing Interaction Topologies. Proc. of the American Control Conference, 2004.
    • (2004) Proc. of the American Control Conference
    • Ren, W.1    Beard, R.W.2
  • 36
    • 1542543931 scopus 로고    scopus 로고
    • Flocking with obstacle avoidance: Cooperation with limited communication in mobile networks
    • Dec.
    • R. O. Saber and R. M. Murray. Flocking with Obstacle Avoidance: Cooperation with Limited Communication in Mobile Networks. Proc. of the 42nd IEEE Conference on Decision and Control, 2:2022-2028, Dec. 2003.
    • (2003) Proc. of the 42nd IEEE Conference on Decision and Control , vol.2 , pp. 2022-2028
    • Saber, R.O.1    Murray, R.M.2
  • 37
    • 0141450345 scopus 로고    scopus 로고
    • A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices
    • Sep.
    • A. Soshnikov. A note on universality of the distribution of the largest eigenvalues in certain sample covariance matrices. J. Statistical Physics, 108:1033-1055, Sep. 2002.
    • (2002) J. Statistical Physics , vol.108 , pp. 1033-1055
    • Soshnikov, A.1
  • 39
    • 0039592729 scopus 로고    scopus 로고
    • From Kuramoto to Crawford: Exploring the onset of synchronization in populations of coupled oscillators
    • S. H. Strogatz. From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators. Physica D, 143:1-20, 2000.
    • (2000) Physica D , vol.143 , pp. 1-20
    • Strogatz, S.H.1
  • 40
    • 0035826155 scopus 로고    scopus 로고
    • Exploring complex networks
    • S. H. Strogatz. Exploring complex networks. Nature, 410:268-276, 2001.
    • (2001) Nature , vol.410 , pp. 268-276
    • Strogatz, S.H.1
  • 41
    • 23944478607 scopus 로고    scopus 로고
    • Swarming patterns in a two-dimensional kinematic model for biological groups
    • May
    • C. M. Topaz and A. L. Bertozzi. Swarming patterns in a two-dimensional kinematic model for biological groups. SIAM J. Appl. Math., May 2004.
    • (2004) SIAM J. Appl. Math.
    • Topaz, C.M.1    Bertozzi, A.L.2
  • 42
    • 0032482432 scopus 로고    scopus 로고
    • Collective dynamics of 'small-world' networks
    • June
    • D. J, Watts and S. H. Strogatz. Collective dynamics of 'small-world' networks. Nature, 393:440-442, June 1998.
    • (1998) Nature , vol.393 , pp. 440-442
    • Watts, D.J.1    Strogatz, S.H.2
  • 43
    • 0001560594 scopus 로고
    • On the distribution of the roots of certain symmetric matrices
    • E. Wigner. On the distribution of the roots of certain symmetric matrices. Ann. of Math., 67:325-328, 1958.
    • (1958) Ann. of Math. , vol.67 , pp. 325-328
    • Wigner, E.1
  • 44
    • 0014108715 scopus 로고
    • Biological rythms and the behavior of populations of coupled oscillators
    • A. T. Winfree. Biological rythms and the behavior of populations of coupled oscillators. J. Theoretical Biology, 16:15-42, 1967.
    • (1967) J. Theoretical Biology , vol.16 , pp. 15-42
    • Winfree, A.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.