On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9
In this article, we prove the existence of a simple cyclic near-resolvable v-1/2-cycle system of 2Kv for v≡9 mod 12 by the method of constructing its starter. Then, some new properties and results related to this construction are formulated.
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2019/5276753 |
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| _version_ | 1832548765922230272 |
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| author | Raja'i Aldiabat Haslinda Ibrahim Sharmila Karim |
| author_facet | Raja'i Aldiabat Haslinda Ibrahim Sharmila Karim |
| author_sort | Raja'i Aldiabat |
| collection | DOAJ |
| description | In this article, we prove the existence of a simple cyclic near-resolvable v-1/2-cycle system of 2Kv for v≡9 mod 12 by the method of constructing its starter. Then, some new properties and results related to this construction are formulated. |
| format | Article |
| id | doaj-art-65a97e4a64864ef6ad16fcc15604e0b2 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-65a97e4a64864ef6ad16fcc15604e0b22025-02-03T06:13:09ZengWileyJournal of Mathematics2314-46292314-47852019-01-01201910.1155/2019/52767535276753On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9Raja'i Aldiabat0Haslinda Ibrahim1Sharmila Karim2Department of Mathematics and Statistics, School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, MalaysiaDepartment of Mathematics and Statistics, School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, MalaysiaDepartment of Mathematics and Statistics, School of Quantitative Sciences, Universiti Utara Malaysia, Sintok 06010, MalaysiaIn this article, we prove the existence of a simple cyclic near-resolvable v-1/2-cycle system of 2Kv for v≡9 mod 12 by the method of constructing its starter. Then, some new properties and results related to this construction are formulated.http://dx.doi.org/10.1155/2019/5276753 |
| spellingShingle | Raja'i Aldiabat Haslinda Ibrahim Sharmila Karim On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 Journal of Mathematics |
| title | On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 |
| title_full | On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 |
| title_fullStr | On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 |
| title_full_unstemmed | On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 |
| title_short | On the Existence of a Cyclic Near-Resolvable (6n+4)-Cycle System of 2K12n+9 |
| title_sort | on the existence of a cyclic near resolvable 6n 4 cycle system of 2k12n 9 |
| url | http://dx.doi.org/10.1155/2019/5276753 |
| work_keys_str_mv | AT rajaialdiabat ontheexistenceofacyclicnearresolvable6n4cyclesystemof2k12n9 AT haslindaibrahim ontheexistenceofacyclicnearresolvable6n4cyclesystemof2k12n9 AT sharmilakarim ontheexistenceofacyclicnearresolvable6n4cyclesystemof2k12n9 |