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language
eng
Author
Murakami, Atsushi
Yamasaki, Maretsugu
Description
Inequalities on networks have played important roles in the theory of netwoks. We study several famous inequalities on networks such as Wirtinger's inequality, Hardy's inequality, Poincare-Sobolev's inequality and the strong isoperimetric inequality, etc. These inequalities are closely related to the smallest eigenvalue of weighted discrete Laplacian. We discuss some relations between these inequalities and the potential-theorerteic magnitude of the ideal boundary of an infinite network.
Subject
Infinite Network
Discrete Inequalities
Eigenvalue of Discrete Laplacian
Journal Title
島根大学総合理工学部紀要. シリーズB
Volume
33
Start Page
47
End Page
62
ISSN
13427121
Published Date
2000-03
NCID
AA11157123
Publisher
島根大学総合理工学部
NII Type
Departmental Bulletin Paper
Format
PDF
Text Version
出版社版
OAI-PMH Set
Interdisciplinary Graduate School of Science and Engineering
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