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SNS
o
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    “   ”

o
o
o   1.4
o
SNS
p
p   SNS
p          SNS
p
ü 1
ü 2
ü 3
ü 4
ü 5
ü 6
ü 7
ü 8   CSSN
1
1
Roger Brown
ü "Social structure becomes actually visible in an
   anthill; the movements and contacts one sees are not
   random but patterned. We should also be able to see
   structure in the life of an American community if we
   had a sufficiently remote vantage point, a point from
   which persons would appear to be small moving
   dots. . . . We should see that these dots do not
   randomly approach one another, that some are
   usually together, some meet often, some never. . . .
   If one could get far enough away from it human life
   would become pure pattern."
2
o



o
o
3
ü
     -
         -


ü

ü
4
ü

ü
ü
ü
ü
     wellman,1988
5

p             o
p             o

p             o
               o
p
     /
p   Freeman   o          Whitte Lin
                   Burt
5


o   o
    1
    2
o
    3
o   4              Van
        der 1993
    o
6
o                www.arcp.cn
o
o 010-66019664
7

o                 INSNA
    JSS JSN
o

o             [      ]
                    [     ]
o
8                CSSN

o CSSN                        Computer-
  Supported Social Networks
o


o
SNS
l 2.1 SNS
l 2.2
l 2.3       1
l 2.4       2
l 2.5
l 2.6
l 2.7
2.1 SNS
u                  1                       =            6

                                                                     6
                                                         http://blog.donews.com/
     hidy/archive/2006/03/12/764695.aspx

u                  2                       =            +            +…+

     SNS
                         http://atblog.org/blog/index.php/2006_04_17_172.html
2.2
l    Milgram, Stanley. 1967. “The Small World Problem.”
     Psychology Today 2:60–67.
l   1967                             Stanley Milgram
     (1933-1984)




                                     5
                             6      1967 5

      “        ”
2.2
o   Nature. 1998 Jun 4;393(6684):440-2.
o   Collective dynamics of 'small-world' networks.

    Watts DJ, Strogatz SH.
    Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York
    14853, USA. djw24@columbia.edu

    Networks of coupled dynamical systems have been used to model biological oscillators,
    Josephson junction arrays, excitable media, neural networks, spatial games, genetic
    control networks and many other self-organizing systems. Ordinarily, the connection
    topology is assumed to be either completely regular or completely random. But many
    biological, technological and social networks lie somewhere between these two
    extremes. Here we explore simple models of networks that can be tuned through this
    middle ground: regular networks 'rewired' to introduce increasing amounts of disorder.
    We find that these systems can be highly clustered, like regular lattices, yet have small
    characteristic path lengths, like random graphs. We call them 'small-world' networks,
    by analogy with the small-world phenomenon (popularly known as six degrees of
    separation. The neural network of the worm Caenorhabditis elegans, the power grid of
    the western United States, and the collaboration graph of film actors are shown to be
    small-world networks. Models of dynamical systems with small-world coupling display
    enhanced signal-propagation speed, computational power, and synchronizability. In
    particular, infectious diseases spread more easily in small-world networks than in
    regular lattices.
2.2
o   AJS Volume 105, Number 2 (September 1999): 493–527 493

o    Networks, Dynamics, and the Small-World Phenomenon1
Duncan J. Watts
Santa Fe Institute
The small-world phenomenon formalized in this article as the coincidence
of high local clustering and short global separation, is shown
to be a general feature of sparse, decentralized networks that are
neither completely ordered nor completely random. Networks of this
kind have received little attention, yet they appear to be widespread
in the social and natural sciences, as is indicated here by three distinct
examples. Furthermore, small admixtures of randomness to an
otherwise ordered network can have a dramatic impact on its dynamical,
as well as structural, properties—a feature illustrated by
a simple model of disease transmission.
2.3
l 1
2.4
l 2
2.5
l    &    2001
      CSSN
l    &     2004
462    453   99    76    74    68    65    65    45    41

                      22.    22.   4.8   3.7   3.6   3.3   3.1   3.1   2.1   2.0
                  %   53     09    3     1     1     2     7     7     9     0

70.62%
     3




                      297    23    120   96    90    70    69    60    36    40
                             1
                      16.6   12.   6.7   3.9   5.0   3.9   3.8   3.3   3.1   2.2
         63.36%   %   7      96    3           5     3     7     7     4     4

   4
2.6
l
1



2
     n
     n
     n



3
          1998&   ,1999
2.7
o

o
    n   —
    n
o
    n
SNS
Ø 3.1       Google SNS
Ø 3.2

Ø 3.3 SNS
Ø 3.4    SNS
Ø 3.5         SNS
3.1           Google SNS
o Google                   +




o       SNS
    +
3.2

o
o
o
3.3 SNS
o
o
o
3.4          SNS

 o                           …
 o
      n               Web       Ajax+XML+XSLT
           +JSP    …
      n
      n
3.5            SNS
o        SNS


o                               SNS

o                                 SNS

    n               Google
    n                    SNS
o   [1]        .                              [J].                 ,2001,48(4):
    42-48.

o   [2]        ,       .                         [J].                 ,2002(3):
    56-58.

o   [3]      ,         .           :   CSSN             [J].   .      .     ,2003
    (01):51-55.

o   [4]        ,           ,   .                                     [J].
          ,2003(01).

o   [5]        ,           ,   .                 [J].                ,2004(01).
Analysis of Social Network Sites (SNS) Based on Small World Theory

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Analysis of Social Network Sites (SNS) Based on Small World Theory

  • 1. SNS
  • 2. o o o o “ ” o
  • 3. o o 1.4 o
  • 4. SNS p p SNS p SNS p
  • 5. ü 1 ü 2 ü 3 ü 4 ü 5 ü 6 ü 7 ü 8 CSSN
  • 6. 1
  • 7. 1 Roger Brown ü "Social structure becomes actually visible in an anthill; the movements and contacts one sees are not random but patterned. We should also be able to see structure in the life of an American community if we had a sufficiently remote vantage point, a point from which persons would appear to be small moving dots. . . . We should see that these dots do not randomly approach one another, that some are usually together, some meet often, some never. . . . If one could get far enough away from it human life would become pure pattern."
  • 9. 3 ü - - ü ü
  • 11. 5 p o p o p o o p / p Freeman o Whitte Lin Burt
  • 12. 5 o o 1 2 o 3 o 4 Van der 1993 o
  • 13. 6 o www.arcp.cn o o 010-66019664
  • 14. 7 o INSNA JSS JSN o o [ ] [ ] o
  • 15. 8 CSSN o CSSN Computer- Supported Social Networks o o
  • 16. SNS l 2.1 SNS l 2.2 l 2.3 1 l 2.4 2 l 2.5 l 2.6 l 2.7
  • 17. 2.1 SNS u 1 = 6 6 http://blog.donews.com/ hidy/archive/2006/03/12/764695.aspx u 2 = + +…+ SNS http://atblog.org/blog/index.php/2006_04_17_172.html
  • 18. 2.2 l Milgram, Stanley. 1967. “The Small World Problem.” Psychology Today 2:60–67. l 1967 Stanley Milgram (1933-1984) 5 6 1967 5 “ ”
  • 19. 2.2 o Nature. 1998 Jun 4;393(6684):440-2. o Collective dynamics of 'small-world' networks. Watts DJ, Strogatz SH. Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, New York 14853, USA. djw24@columbia.edu Networks of coupled dynamical systems have been used to model biological oscillators, Josephson junction arrays, excitable media, neural networks, spatial games, genetic control networks and many other self-organizing systems. Ordinarily, the connection topology is assumed to be either completely regular or completely random. But many biological, technological and social networks lie somewhere between these two extremes. Here we explore simple models of networks that can be tuned through this middle ground: regular networks 'rewired' to introduce increasing amounts of disorder. We find that these systems can be highly clustered, like regular lattices, yet have small characteristic path lengths, like random graphs. We call them 'small-world' networks, by analogy with the small-world phenomenon (popularly known as six degrees of separation. The neural network of the worm Caenorhabditis elegans, the power grid of the western United States, and the collaboration graph of film actors are shown to be small-world networks. Models of dynamical systems with small-world coupling display enhanced signal-propagation speed, computational power, and synchronizability. In particular, infectious diseases spread more easily in small-world networks than in regular lattices.
  • 20. 2.2 o AJS Volume 105, Number 2 (September 1999): 493–527 493 o Networks, Dynamics, and the Small-World Phenomenon1 Duncan J. Watts Santa Fe Institute The small-world phenomenon formalized in this article as the coincidence of high local clustering and short global separation, is shown to be a general feature of sparse, decentralized networks that are neither completely ordered nor completely random. Networks of this kind have received little attention, yet they appear to be widespread in the social and natural sciences, as is indicated here by three distinct examples. Furthermore, small admixtures of randomness to an otherwise ordered network can have a dramatic impact on its dynamical, as well as structural, properties—a feature illustrated by a simple model of disease transmission.
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