著者

池田 正弘

出版者

一般社団法人 日本応用数理学会

雑誌

応用数理 (ISSN:24321982)

巻号頁・発行日

vol.31, no.2, pp.2-10, 2021-06-24 (Released:2021-09-30)

参考文献数

29

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In the present paper, I review our recent two papers of the joint works with Atsushi Miyauchi (Tokyo Univ.), Yuuki Takai(KIT) and Yuichi Yoshida (NII). I mainly introduce the background of their papers and the fundamental notions for community detection of networks. First I review the notion of Laplacian and Cheegerʼs inequality for the usual undirected graph. After that, I introduce the definition of the (submodular) Laplacian for hypergraphs and the heat on them. Especially, I introduce several properties of the Laplacian and heat such as maximal monotonicity of the Laplacian and well-definedness of the heat and the Personalized PageRank respectively. Moreover, I introduce the application of the properties to the community detection on hypergraphs.

著者

萩澤 稔 池田 正弘

出版者

公益社団法人 日本薬学会

雑誌

ファルマシア (ISSN:00148601)

巻号頁・発行日

vol.38, no.3, pp.229-233, 2002

参考文献数

7