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We present a simulation of the time evolution of the distance matrix. The result is a node-node distance distribution for various kinds of networks. For the exponential trees, analytical formulas are derived for the moments of distance distribution.
Słowa kluczowe
Wydawca
Rocznik
Tom
Strony
115--119
Opis fizyczny
Bibliogr. 15 poz., rys.
Twórcy
autor
autor
autor
autor
- Faculty of Physics and Nuclear Techniques, AGH University of Science and Technology, al. Mickiewicza 30, PL-30059 Cracow, Poland, malarz@agh.edu.pl
Bibliografia
- [1] Clark J and Holton D A 1991 A First Look at Graph Theory, World Scientific
- [2] Wilson R J 1987 Introduction to Graph Theory, Longman Scientific and Technical, New York
- [3] Berge C 1985 Graphs, North Holland
- [4] Harary F 1969 Graph Theory, Addison-Wesley
- [5] Dorogovtsev S N and Mendes J F F 2002 Adv. Phys. 51 1079
- [6] Dorogovtsev S N and Mendes J F F 2002 From the Genome to the Internet (Bornholdt S and Schuster H G, Eds), Viley-VCH, Berlin
- [7] Dorogovtsev S N, Mendes J F F and Samukhin A N 2003 Nucl. Phys. B 653 307
- [8] Newman M E J 2003 SIAM Review 45 167
- [9] Albert R and Barab´asi A-L 2002 Rev. Mod. Phys. 286 47
- [10] Barab´asi A-L and Albert R 1999 Science 286 509
- [11] Malarz K, Czaplicki J, Kawecka-Magiera B and Kułakowski K 2003 Int. J. Mod. Phys. C 14 (in print); Preprint cond-mat/0304636
- [12] Malarz K and Kułakowski K 2003 Preprint cond-mat/0304693
- [13] Stauffer D, private communication
- [14] Milgram S 1967 Psychol. Today 2 60
- [15] Szab´o G, Alava M and Kert´esz J 2002 Phys. Rev. E 66 026101
Typ dokumentu
Bibliografia
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bwmeta1.element.baztech-article-BAT3-0008-0011