Abstract
The goal of the present paper is to describe three topics in the area of complex networks that constituted a mini-course delivered at the 12th Mathematical Society of Japan – Seasonal Institute, held at Kyushu University in Fukuoka, Japan, 31/07–09/08, 2019. The topics are: (I) Spectra of adjacency matrices, (II) Equivalence of ensembles, (III) Exploration and mixing times. Topics (I) and (II) are part of the ongoing attempt to understand structure of networks, topic (III) to elucidate functionality of networks.
Information
Published: 1 January 2021
First available in Project Euclid: 20 January 2022
Digital Object Identifier: 10.2969/aspm/08710137
Subjects:
Primary:
60C05
,
60K35
Keywords:
complex networks
,
ensemble equivalence
,
exploration
,
mixing time
,
Random graphs
,
spectrum adjacency matrix
Rights: Copyright © 2021 Mathematical Society of Japan
