Motif based hierarchical random graphs: structural properties and critical points of an Ising model

• Published in: Condensed Matter Physics
• Date: 2011
• Main Authors: Kotorowicz, Monika, Kozitsky, Yuri
• Format: Article
• Language: English
• Published: Інститут фізики конденсованих систем НАН України 2011
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/119972
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Motif based hierarchical random graphs: structural
 properties and critical points of an Ising model
 / Monika Kotorowicz, Yuri Kozitsky // Condensed Matter Physics. — 2011. — Т. 14, № 1. — С. 13801: 1-18. — Бібліогр.: 30 назв. — англ.

A class of random graphs is introduced and studied. The graphs are constructed in an algorithmic way from five motifs which were found in [Milo R., Shen Orr S., Itzkovitz S., Kashtan N., Chklovskii D., Alon U., Science, 2002, 298, 824 – 827]. The construction scheme resembles that used in [Hinczewsk...