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Similarity in transitions of two distinct number networks

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Please use this identifier to cite or link to this item:http://hdl.handle.net/2115/44582

Title: Similarity in transitions of two distinct number networks
Authors: Chandra, Anjan Kumar Browse this author
Inoue, Jun-ichi Browse this author →KAKEN DB
Keywords: network
split
small world
transition
Issue Date: Dec-2010
Publisher: World Scientific Publishing
Journal Title: International Journal of Modern Physics C
Volume: 21
Issue: 12
Start Page: 1489
End Page: 1500
Publisher DOI: 10.1142/S0129183110015993
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 some numerical and analytical explanations, that support the transition and also the point of transition.
Rights: Electronic version of an article published as International Journal of Modern Physics C, Volume 21, Issue 12, 2010, 1489-1500, 10.1142/S0129183110015993 © copyright World Scientific Publishing Company, http://www.worldscinet.com/ijmpc/ijmpc.shtml
Type: article (author version)
URI: http://hdl.handle.net/2115/44582
Appears in Collections:情報科学院・情報科学研究院 (Graduate School of Information Science and Technology / Faculty of Information Science and Technology) > 雑誌発表論文等 (Peer-reviewed Journal Articles, etc)

Submitter: 井上 純一

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