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: | , |
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| Format: | Journal |
| Published: |
2020
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| 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 |
| Summary: | © 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. |
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