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

Joint Authors

Chaichana, Khuanchanok
Jaipong, Pradthana

Source

International Journal of Mathematics and Mathematical Sciences

Issue

Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.

Publisher

Hindawi Publishing Corporation

Publication Date

2019-10-03

Country of Publication

Egypt

No. of Pages

8

Main Subjects

Mathematics

Abstract EN

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.

American Psychological Association (APA)

Chaichana, Khuanchanok& Jaipong, Pradthana. 2019. Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1166405

Modern Language Association (MLA)

Chaichana, Khuanchanok& Jaipong, Pradthana. Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1166405

American Medical Association (AMA)

Chaichana, Khuanchanok& Jaipong, Pradthana. Infinite Paths of Minimal Length on Suborbital Graphs for Some Fuchsian Groups. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1166405

Data Type

Journal Articles

Language

English

Notes

Includes bibliographical references

Record ID

BIM-1166405