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language
eng
Author
Murakami, Atsushi
Yamasaki, Maretsugu
Description
Inequalities on networks have played important roles in the theory of networks. We study the famous Sobolev-Poincare's inequality on infinite net-works in the weighted form. This inequality is closely related to the smallest eigenvalue of a weighted discrete Laplacian. We give a dual characterization for the smallest eigenvalue.
Subject
Infinite Network
Sobolev-Poincare's Inequality
the Smallest Eigen-value
the Discrete Laplacian
Journal Title
島根大学総合理工学部紀要. シリーズB
Volume
34
Start Page
45
End Page
52
ISSN
13427121
Published Date
2001-03
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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