Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group
This research studies the chromatic numbers of the suborbital graphs for the modular group and the extended modular group. We verify that the chromatic numbers of the graphs are 2 or 3. The forest conditions of the graphs for the extended modular group are also described in this paper.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2017-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2017/7458318 |
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| _version_ | 1832558816296697856 |
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| author | Wanchai Tapanyo Pradthana Jaipong |
| author_facet | Wanchai Tapanyo Pradthana Jaipong |
| author_sort | Wanchai Tapanyo |
| collection | DOAJ |
| description | This research studies the chromatic numbers of the suborbital graphs for the modular group and the extended modular group. We verify that the chromatic numbers of the graphs are 2 or 3. The forest conditions of the graphs for the extended modular group are also described in this paper. |
| format | Article |
| id | doaj-art-9feab44c13af454ab5584cf9453eb002 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2017-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-9feab44c13af454ab5584cf9453eb0022025-02-03T01:31:33ZengWileyJournal of Mathematics2314-46292314-47852017-01-01201710.1155/2017/74583187458318Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular GroupWanchai Tapanyo0Pradthana Jaipong1Department of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandDepartment of Mathematics, Chiang Mai University, Chiang Mai 50200, ThailandThis research studies the chromatic numbers of the suborbital graphs for the modular group and the extended modular group. We verify that the chromatic numbers of the graphs are 2 or 3. The forest conditions of the graphs for the extended modular group are also described in this paper.http://dx.doi.org/10.1155/2017/7458318 |
| spellingShingle | Wanchai Tapanyo Pradthana Jaipong Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group Journal of Mathematics |
| title | Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group |
| title_full | Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group |
| title_fullStr | Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group |
| title_full_unstemmed | Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group |
| title_short | Chromatic Numbers of Suborbital Graphs for the Modular Group and the Extended Modular Group |
| title_sort | chromatic numbers of suborbital graphs for the modular group and the extended modular group |
| url | http://dx.doi.org/10.1155/2017/7458318 |
| work_keys_str_mv | AT wanchaitapanyo chromaticnumbersofsuborbitalgraphsforthemodulargroupandtheextendedmodulargroup AT pradthanajaipong chromaticnumbersofsuborbitalgraphsforthemodulargroupandtheextendedmodulargroup |