Similarity in transitions of two distinct number networks

Chandra, Anjan Kumar; Inoue, Jun-ichi

International Journal of Modern Physics C, 2010, 21(12), 1489-1500

Permalink : https://hdl.handle.net/2115/44582

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アクセス権
open access
URI
https://hdl.handle.net/2115/44582
タイトル
Similarity in transitions of two distinct number networks
著者
著者名
Chandra, Anjan Kumar
e-Rad_Researcher
30311658
著者名
Inoue, Jun-ichi
言語
英語
キーワード
network
split
small world
transition
発行日
2010-12
出版者
World Scientific Publishing
収録物名
International Journal of Modern Physics C
巻(号)
21(12)
ページ
1489-1500
抄録
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.
資源タイプ
学術雑誌論文
出版タイプ
Accepted Manuscript
権利情報
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
PISSN
0129-1831
EISSN
1793-6586
NCID
AA1084929X
関連情報 (isVersionOf)
出版社版DOI
https://doi.org/10.1142/S0129183110015993