1. 1 H18 p.2/37
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- みさき みねむら
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1 ( ) Tel : , Fax : tohru@nls.ics.saitama-u.ac.jp URL : tohru H18 p.1/37
2 1. 1 H18 p.2/37
3 (a) H17 (b) H18 p.2/37
4 Stanley Milgram ( ) Small World Problem Witchita (Kansas ) Boston (Massachusetts ) Omaha (Nebraska ) Boston (Massachusetts ) H18 p.3/37
5 H18 p.4/37
6 H18 p.5/37
7 H18 p.5/37
8 ? H18 p.6/37
9 S. Milgram: The Small-World Problem, Psychology Today, Vol.1, pp.67 67, H18 p.7/37
10 S. Milgram: The Small-World Problem, Psychology Today, Vol.1, pp.67 67, H18 p.7/37
11 6 Six Degrees of Separation S. Milgram: The Small-World Problem, Psychology Today, Vol.1, pp.67 67, H18 p.7/37
12 Six Degrees of Separation 6 H18 p.8/37
13 : The Oracle says: Harrison Ford has a Bacon number of. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
14 0 : The Oracle says: Harrison Ford has a Bacon number of. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
15 0 1 : The Oracle says: Harrison Ford has a Bacon number of. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
16 : The Oracle says: Harrison Ford has a Bacon number of. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
17 : The Oracle says: Harrison Ford has a Bacon number of 2. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
18 : The Oracle says: Harrison Ford has a Bacon number of 2. Harrison Ford was in Clear and Present Danger (1994) with John Lafayette. John Lafayette was in Loverboy (2005) with Kevin Bacon. H18 p.9/37
19 ,975 1, , , , , , , , , , , , ,732 ( ) H18 p.10/37
20 ,975 1, , , , , , , , , , , , ,732 ( ) H18 p.10/37
21 [ ] World Wide Web [ ] ( SARS) ( / ) H18 p.11/37
22 ? 6 ( ) WWW ( ) ( ) OK H18 p.12/37
23 ? 6 ( ) WWW ( ) ( ) OK H18 p.12/37
24 ? 6 ( ) WWW ( ) ( ) OK H18 p.12/37
25 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
26 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
27 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
28 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
29 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
30 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
31 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
32 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
33 ? 6 ( ) WWW 19 ( ) ( ) OK H18 p.12/37
34 H18 p.13/37
35 H18 p.13/37
36 H18 p.13/37
37 H18 p.13/37
38 H18 p.13/37
39 (graph theory) H18 p.13/37
40 (1736 ) Euler, Cauchy, Hamilton, Cayley, Kirchhoff... Erdös, Rényi (random network, 1950 s) (1998 ) Watts, Strogatz (small world network, 1998) Barabási and collegues (scale free network, 1999) ( ) H18 p.14/37
41 (1736 ) Euler, Cauchy, Hamilton, Cayley, Kirchhoff... Erdös, Rényi (random network, 1950 s) (1998 ) Watts, Strogatz (small world network, 1998) Barabási and collegues (scale free network, 1999) ( ) ( node) H18 p.14/37
42 (1736 ) Euler, Cauchy, Hamilton, Cayley, Kirchhoff... Erdös, Rényi (random network, 1950 s) (1998 ) Watts, Strogatz (small world network, 1998) Barabási and collegues (scale free network, 1999) ( ) ( node) ( link) H18 p.14/37
43 (1736 ) Euler, Cauchy, Hamilton, Cayley, Kirchhoff... Erdös, Rényi (random network, 1950 s) (1998 ) Watts, Strogatz (small world network, 1998) Barabási and collegues (scale free network, 1999) ( ) ( node) ( link) H18 p.14/37
44 (1736 ) Euler, Cauchy, Hamilton, Cayley, Kirchhoff... Erdös, Rényi (random network, 1950 s) (1998 ) Watts, Strogatz (small world network, 1998) Barabási and collegues (scale free network, 1999) ( ) ( node) ( link) H18 p.14/37
45 (1736) ( ) (1875 ) c d g e a b f H18 p.15/37
46 Euler (1736) c d g e a b f H18 p.16/37
47 Euler (1736) c d g e a b f H18 p.16/37
48 Euler (1736) C c d g A e D a b f B H18 p.16/37
49 (20 ) H18 p.17/37
50 (20 ) H18 p.18/37
51 H18 p.19/37
52 (20 ) H18 p.20/37
53 ,. H18 p.21/37
54 ,. H18 p.21/37
55 ,. H18 p.21/37
56 ,. H18 p.21/37
57 (Watts and Strogatz, 1998) L ( ) C H18 p.22/37
58 (Watts and Strogatz, 1998) L ( ) C H18 p.22/37
59 (Watts and Strogatz, 1998) L ( ) C H18 p.22/37
60 (Watts and Strogatz, 1998) L ( ) C H18 p.22/37
61 (Watts and Strogatz, 1998) L ( ) C H18 p.22/37
62 L actual L random C actual C random 225, , L ( ) ( ) C ( 0) H18 p.23/37
63 = v 1 v 3 v 5 k 1 = k 2 = k 3 = k 4 = k 5 = v 2 v 4 H18 p.24/37
64 = v 1 v 3 v 5 k 1 =2 k 2 = k 3 = k 4 = k 5 = v 2 v 4 H18 p.24/37
65 = v 1 v 3 v 5 k 1 =2 k 2 =3 k 3 = k 4 = k 5 = v 2 v 4 H18 p.24/37
66 = v 1 v 3 v 5 k 1 =2 k 2 =3 k 3 =2 k 4 =3 k 5 =2 v 2 v 4 H18 p.24/37
67 P(k) k γ H18 p.25/37
68 P(k) k γ H18 p.25/37
69 P(k) k γ H18 p.25/37
70 H18 p.26/37
71 H18 p.27/37
72 H18 p.28/37
73 H18 p.29/37
74 H18 p.30/37
75 H18 p.31/37
76 H18 p.32/37
77 P(k) k γ H18 p.32/37
78 P(k) k γ H18 p.32/37
79 ? ( )? H18 p.33/37
80 : 2005; : 2006 H18 p.34/37
81 1. = 2. = 3. ( ) 4. (a) (b) (c) (d) H18 p.35/37
82 OS Windows Windows setup UNIX? Makefile? configure? ( ) CG goo excite H18 p.36/37
83 OS Windows Windows setup UNIX? Makefile? configure? ( ) CG goo excite H18 p.36/37
84 OS Windows Windows setup UNIX? Makefile? configure? ( ) CG goo excite H18 p.36/37
85 OS Windows Windows setup UNIX? Makefile? configure? ( ) CG goo excite H18 p.36/37
86 : : 5F 506 : PDF tohru/lectures/ : saidai : ics H18 p.37/37
1 2 : etc = x(t + 1) = 1 ax(t) 2 + y(t) y(t + 1) = bx(t) x y 2006 p.2/58
2006 338 8570 255 Tel : 048 858 3577, Fax : 048 858 3716 Email : tohru@ics.saitama-u.ac.jp URL : http://www.nls.ics.saitama-u.ac.jp/ tohru 2006 p.1/58 1 2 : etc = x(t + 1) = 1 ax(t) 2 + y(t) y(t + 1) =
k = The Last Samurai Tom Cruise [1] Oracle Ken Watanabe (I) has a Bacon number of 2. 1: 6(k 6) (small world p
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( ) 338 8570 255 Tel: 048 858 3577, Fax: 048 858 3716 Email: tohru@nls.ics.saitama-u.ac.jp URL: http://www.nls.ics.saitama-u.ac.jp/ tohru/ 2006.11.29 @ p.1/38 1. 1 2006.11.29 @ p.2/38 1. 1 2. (a) H16 (b)
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