Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Regular Papers
Quasi-Symmetricity for the Nonlinear Green Function on a Tree
Hisayasu KURATA
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2008 年 14 巻 1 号 p. 103-116

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It is well known that the linear Green function is symmetric as a two variable function. However it is not known whether the nonlinear Green function is symmetric or not. Moreover it is not known even whether that is quasi-symmetric or not, which means that the symmetric ratio of the nonlinear Green function is bounded or not. In this article we show that, for every tree, there exists a resistance such that the nonlinear Green function is quasi-symmetric; also we show that, for every tree, there exists a resistance such that the nonlinear Green function is not quasi-symmetric.
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© 2008 by the Graduate School of Information Sciences (GSIS), Tohoku University

This article is licensed under a Creative Commons [Attribution 4.0 International] license.
https://creativecommons.org/licenses/by/4.0/
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