Generalized classes of suborbital graphs for the congruence subgroups of the modular group
Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the graph Fu,n. We investigate several properties of the graph, such as, connectivity...
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| Видавець: | Інститут прикладної математики і механіки НАН України |
|---|---|
| Дата: | 2019 |
| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут прикладної математики і механіки НАН України
2019
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| Назва видання: | Algebra and Discrete Mathematics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/188419 |
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| Цитувати: | Generalized classes of suborbital graphs for the congruence subgroups of the modular group / P. Jaipong, W. Tapanyo // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 20–36. — Бібліогр.: 14 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-188419 |
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dspace |
| spelling |
irk-123456789-1884192023-03-01T01:26:58Z Generalized classes of suborbital graphs for the congruence subgroups of the modular group Jaipong, P. Tapanyo, W. Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the graph Fu,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 Гк(n). We also provide the discussion on suborbital graphs for conjugate subgroups of Г. 2019 Article Generalized classes of suborbital graphs for the congruence subgroups of the modular group / P. Jaipong, W. Tapanyo // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 20–36. — Бібліогр.: 14 назв. — англ. 1726-3255 2010 MSC: Primary 05C20, 05C40, 05C63; Secondary 05C05, 05C60, 20H05. http://dspace.nbuv.gov.ua/handle/123456789/188419 en Algebra and Discrete Mathematics Інститут прикладної математики і механіки НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Let Г be the modular group. We extend a nontrivial Г-invariant equivalence relation on Q to a general relation by replacing the group Г₀(n) by Гк(n), and determine the suborbital graph Fᴷu,n, an extended concept of the graph Fu,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 Гк(n). We also provide the discussion on suborbital graphs for conjugate subgroups of Г. |
| format |
Article |
| author |
Jaipong, P. Tapanyo, W. |
| spellingShingle |
Jaipong, P. Tapanyo, W. Generalized classes of suborbital graphs for the congruence subgroups of the modular group Algebra and Discrete Mathematics |
| author_facet |
Jaipong, P. Tapanyo, W. |
| author_sort |
Jaipong, P. |
| 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 |
| publisher |
Інститут прикладної математики і механіки НАН України |
| publishDate |
2019 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/188419 |
| citation_txt |
Generalized classes of suborbital graphs for the congruence subgroups of the modular group / P. Jaipong, W. Tapanyo // Algebra and Discrete Mathematics. — 2019. — Vol. 27, № 1. — С. 20–36. — Бібліогр.: 14 назв. — англ. |
| series |
Algebra and Discrete Mathematics |
| work_keys_str_mv |
AT jaipongp generalizedclassesofsuborbitalgraphsforthecongruencesubgroupsofthemodulargroup AT tapanyow generalizedclassesofsuborbitalgraphsforthecongruencesubgroupsofthemodulargroup |
| first_indexed |
2023-10-18T23:08:19Z |
| last_indexed |
2023-10-18T23:08:19Z |
| _version_ |
1796157346882256896 |