Limit Theorems for the Average Distance and the Degree Distribution of the Threshold Network Model

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概要

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• The threshold network model is a type of finite random graph. For this model, we obtain an almost-sure convergence theorem for the average distance and derive a variant of Poisson approximation of the degree distribution by using extreme value theory.

• 東北大学大学院情報科学研究科の論文

著者

• Masuda Naoki

  Graduate School Of Information Science And Technology The University Of Tokyo

• Uchida Masato

  Network Design Research Center Kyushu Institute Of Technology

• Konno Norio

  Department Of Applied Mathematics Faculty Of Engineering Yokohama National University

• Ide Yusuke

  Department Of Applied Chemistry Graduate School Of Engineering Hiroshima University

• Fujihara Akihiro

  Graduate School Of Integrated Science Yokohama City University

• FUJIHARA Akihiro

  Graduate School of Science and Technology, Kwansei Gakuin University

• MIWA Hiroyoshi

  Graduate School of Science and Technology, Kwansei Gakuin University

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