Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups

© 2019 Khuanchanok Chaichana and Pradthana Jaipong. In this study, we work on the Fuchsian group Hm where m is a prime number acting on m transitively. We give necessary and sufficient conditions for two vertices to be adjacent in suborbital graphs induced by these groups. Moreover, we investigate i...

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Main Authors:	Khuanchanok Chaichana, Pradthana Jaipong
Format:	Journal
Published:	2020
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073605107&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67916
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Institution:	Chiang Mai University

id	th-cmuir.6653943832-67916
record_format	dspace
spelling	th-cmuir.6653943832-679162020-04-02T15:11:16Z Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups Khuanchanok Chaichana Pradthana Jaipong Mathematics © 2019 Khuanchanok Chaichana and Pradthana Jaipong. In this study, we work on the Fuchsian group Hm where m is a prime number acting on m transitively. We give necessary and sufficient conditions for two vertices to be adjacent in suborbital graphs induced by these groups. Moreover, we investigate infinite paths of minimal length in graphs and give the recursive representation of continued fraction of such vertex. 2020-04-02T15:11:16Z 2020-04-02T15:11:16Z 2019-01-01 Journal 16870425 01611712 2-s2.0-85073605107 10.1155/2019/7652729 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073605107&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67916
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Khuanchanok Chaichana Pradthana Jaipong Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
description	© 2019 Khuanchanok Chaichana and Pradthana Jaipong. In this study, we work on the Fuchsian group Hm where m is a prime number acting on m transitively. We give necessary and sufficient conditions for two vertices to be adjacent in suborbital graphs induced by these groups. Moreover, we investigate infinite paths of minimal length in graphs and give the recursive representation of continued fraction of such vertex.
format	Journal
author	Khuanchanok Chaichana Pradthana Jaipong
author_facet	Khuanchanok Chaichana Pradthana Jaipong
author_sort	Khuanchanok Chaichana
title	Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
title_short	Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
title_full	Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
title_fullStr	Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
title_full_unstemmed	Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
title_sort	infinite paths of minimal length on suborbital graphs for some fuchsian groups
publishDate	2020
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85073605107&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/67916
_version_	1681426723643588608

Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups

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