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HYPERBOLIC NOTIONS ON A PLANAR GRAPH OF BOUNDED FACE DEGREE
- Authors
- Oh, Byung-Geun
- Issue Date
- Jul-2015
- Publisher
- 대한수학회
- Keywords
- planar graph; strong isoperimetric inequality; Gromov hyperbolicity
- Citation
- 대한수학회보, v.52, no.4, pp 1305 - 1319
- Pages
- 15
- Indexed
- SCIE
SCOPUS
KCI
- Journal Title
- 대한수학회보
- Volume
- 52
- Number
- 4
- Start Page
- 1305
- End Page
- 1319
- ISSN
- 1015-8634
2234-3016
- Abstract
- We study the relations between strong isoperimetric inequalities and Gromov hyperbolicity on planar graphs, and give an alternative proof for the following statement: if a planar graph of bounded face degree satisfies a strong isoperimetric inequality, then it is Gromov hyperbolic. This theorem was formerly proved in the author's paper from 2014 [12] using combinatorial methods, while geometric approach is used in the present paper.
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Related Researcher
- Oh, Byung Geun
- COLLEGE OF EDUCATION (DEPARTMENT OF MATHEMATICS EDUCATION)