Generalized classes of suborbital graphs for the congruence subgroups of the modular group

© Journal “Algebra and Discrete Mathematics” Let Γ be the modular group. We extend a nontrivial Γ-invariant equivalence relation on ℚ to a general relation by replacing the group Γ 0 (n) by Γ K (n), and determine the suborbital graph F Ku,n , an extended concept of the graph F u,n . We investigate...

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Main Authors:	Pradthana Jaipong, Wanchai Tapanyo
Format:	Journal
Published:	2019
Subjects:	Mathematics
Online Access:	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064209204&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65698
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Institution:	Chiang Mai University

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spelling	th-cmuir.6653943832-656982019-08-05T04:39:42Z Generalized classes of suborbital graphs for the congruence subgroups of the modular group Pradthana Jaipong Wanchai Tapanyo Mathematics © Journal “Algebra and Discrete Mathematics” Let Γ be the modular group. We extend a nontrivial Γ-invariant equivalence relation on ℚ to a general relation by replacing the group Γ 0 (n) by Γ K (n), and determine the suborbital graph F Ku,n , an extended concept of the graph F u,n . We investigate several properties of the graph, such as, connectivity, forest conditions, and the relation between circuits of the graph and elliptic elements of the group Γ K (n). We also provide the discussion on suborbital graphs for conjugate subgroups of Γ. 2019-08-05T04:39:42Z 2019-08-05T04:39:42Z 2019-01-01 Journal 17263255 2-s2.0-85064209204 https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064209204&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65698
institution	Chiang Mai University
building	Chiang Mai University Library
country	Thailand
collection	CMU Intellectual Repository
topic	Mathematics
spellingShingle	Mathematics Pradthana Jaipong Wanchai Tapanyo Generalized classes of suborbital graphs for the congruence subgroups of the modular group
description	© Journal “Algebra and Discrete Mathematics” Let Γ be the modular group. We extend a nontrivial Γ-invariant equivalence relation on ℚ to a general relation by replacing the group Γ 0 (n) by Γ K (n), and determine the suborbital graph F Ku,n , an extended concept of the graph F u,n . We investigate several properties of the graph, such as, connectivity, forest conditions, and the relation between circuits of the graph and elliptic elements of the group Γ K (n). We also provide the discussion on suborbital graphs for conjugate subgroups of Γ.
format	Journal
author	Pradthana Jaipong Wanchai Tapanyo
author_facet	Pradthana Jaipong Wanchai Tapanyo
author_sort	Pradthana Jaipong
title	Generalized classes of suborbital graphs for the congruence subgroups of the modular group
title_short	Generalized classes of suborbital graphs for the congruence subgroups of the modular group
title_full	Generalized classes of suborbital graphs for the congruence subgroups of the modular group
title_fullStr	Generalized classes of suborbital graphs for the congruence subgroups of the modular group
title_full_unstemmed	Generalized classes of suborbital graphs for the congruence subgroups of the modular group
title_sort	generalized classes of suborbital graphs for the congruence subgroups of the modular group
publishDate	2019
url	https://www.scopus.com/inward/record.uri?partnerID=HzOxMe3b&scp=85064209204&origin=inward http://cmuir.cmu.ac.th/jspui/handle/6653943832/65698
_version_	1681426317348700160

Generalized classes of suborbital graphs for the congruence subgroups of the modular group

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