Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups
In this study, we work on the Fuchsian group Hm where m is a prime number acting on mℚ^ 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...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2019/7652729 |
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| author | Khuanchanok Chaichana Pradthana Jaipong |
| author_facet | Khuanchanok Chaichana Pradthana Jaipong |
| author_sort | Khuanchanok Chaichana |
| collection | DOAJ |
| description | In this study, we work on the Fuchsian group Hm where m is a prime number acting on mℚ^ 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 | Article |
| id | doaj-art-b690cc1be666435d8512d0b5114ed680 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-b690cc1be666435d8512d0b5114ed6802025-02-03T01:23:44ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252019-01-01201910.1155/2019/76527297652729Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian GroupsKhuanchanok Chaichana0Pradthana Jaipong1Degree Program in Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandCenter of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandIn this study, we work on the Fuchsian group Hm where m is a prime number acting on mℚ^ 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.http://dx.doi.org/10.1155/2019/7652729 |
| spellingShingle | Khuanchanok Chaichana Pradthana Jaipong Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups International Journal of Mathematics and Mathematical Sciences |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2019/7652729 |
| work_keys_str_mv | AT khuanchanokchaichana infinitepathsofminimallengthonsuborbitalgraphsforsomefuchsiangroups AT pradthanajaipong infinitepathsofminimallengthonsuborbitalgraphsforsomefuchsiangroups |