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Similarity in transitions of two distinct number networks
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)
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Submitter: 井上 純一
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