Interdisciplinary Information Sciences
Online ISSN : 1347-6157
Print ISSN : 1340-9050
ISSN-L : 1340-9050
Isoperimetric Constants of (d,f)-Regular Planar Graphs
Yusuke HIGUCHI, Tomoyuki SHIRAI
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Keywords: isoperimetric constants, planar graph, hyperbolic, discrete Laplacian
JOURNAL FREE ACCESS

2003 Volume 9 Issue 2 Pages 221-228

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Abstract

For a (d,f)-regular planar graph, which is an infinite planar graph embedded in the plane such that the degree of each vertex is d and the degree of each face is f, we determine two kinds of isoperimetric constants in concrete form.

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© 2003 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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