SIMILARITY IN TRANSITIONS OF TWO DISTINCT NUMBER NETWORKS

Anjan Kumar Chandra () and Jun-Ichi Inoue ()
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Anjan Kumar Chandra: Theoretical Condensed Matter Physics Division, Saha Institute of Nuclear Physics, 1/AF Bidhannagar, Kolkata 700064, India
Jun-Ichi Inoue: Complex Systems Engineering, Graduate School of Information Science and Technology, Hokkaido University, N14-W9, Kita-ku, Sapporo 060-0814, Japan

International Journal of Modern Physics C (IJMPC), 2010, vol. 21, issue 12, 1489-1500

Abstract: The main objective of our study is to disclose if any network structure is hidden among the pairs of numbers obtained by splitting the consecutive integers. By adopting some preferred rule in placing the links among the pairs obtained, we have a transition from a regular to a random one through a small world one. This type of transition is also similar to the network of primes obtained by splitting the consecutive integers which indicates some general feature in both kinds of networks. We also obtained both with some numerical and analytical explanations that support the transition and also the point of transition.

Keywords: Network; split; small world; transition; 02.10.De; 64.60.aq (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1142/S0129183110015993

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