Analysis and synthesis of a growing network model generating dense scale-free networks via category theory

Taichi Haruna*, Yukio Pegio Gunji

*この研究の対応する著者

研究成果査読

抄録

We propose a growing network model that can generate dense scale-free networks with an almost neutral degree−degree correlation and a negative scaling of local clustering coefficient. The model is obtained by modifying an existing model in the literature that can also generate dense scale-free networks but with a different higher-order network structure. The modification is mediated by category theory. Category theory can identify a duality structure hidden in the previous model. The proposed model is built so that the identified duality is preserved. This work is a novel application of category theory for designing a network model focusing on a universal algebraic structure.

本文言語English
論文番号22351
ジャーナルScientific reports
10
1
DOI
出版ステータスPublished - 2020 12

ASJC Scopus subject areas

  • 一般

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