Group Divisible Designs with Two Associate Classes and 𝜆2=1
The original classiffcation of PBIBDs defined group divisible designs GDD(𝑣=𝑣1+𝑣2+⋯+𝑣𝑔,𝑔,𝑘,𝜆1,𝜆2) with 𝜆1≠0. In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal sizes and block size three with 𝜆2=1....
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2011/148580 |
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| _version_ | 1832549588467187712 |
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| author | Nittiya Pabhapote Narong Punnim |
| author_facet | Nittiya Pabhapote Narong Punnim |
| author_sort | Nittiya Pabhapote |
| collection | DOAJ |
| description | The original classiffcation of PBIBDs defined group divisible designs GDD(𝑣=𝑣1+𝑣2+⋯+𝑣𝑔,𝑔,𝑘,𝜆1,𝜆2) with 𝜆1≠0. In this paper, we prove that the necessary
conditions are suffcient for the existence of the group divisible designs with two groups
of unequal sizes and block size three with 𝜆2=1. |
| format | Article |
| id | doaj-art-7f1ba705cf5345c9be501d53713424d0 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-7f1ba705cf5345c9be501d53713424d02025-02-03T06:11:00ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252011-01-01201110.1155/2011/148580148580Group Divisible Designs with Two Associate Classes and 𝜆2=1Nittiya Pabhapote0Narong Punnim1Department of Mathematics, University of the Thai Chamber of Commerce, Dindaeng, Bangkok 10400, ThailandDepartment of Mathematics, Srinakharinwirot University, Sukhumvit 23, Bangkok 10110, ThailandThe original classiffcation of PBIBDs defined group divisible designs GDD(𝑣=𝑣1+𝑣2+⋯+𝑣𝑔,𝑔,𝑘,𝜆1,𝜆2) with 𝜆1≠0. In this paper, we prove that the necessary conditions are suffcient for the existence of the group divisible designs with two groups of unequal sizes and block size three with 𝜆2=1.http://dx.doi.org/10.1155/2011/148580 |
| spellingShingle | Nittiya Pabhapote Narong Punnim Group Divisible Designs with Two Associate Classes and 𝜆2=1 International Journal of Mathematics and Mathematical Sciences |
| title | Group Divisible Designs with Two Associate Classes and 𝜆2=1 |
| title_full | Group Divisible Designs with Two Associate Classes and 𝜆2=1 |
| title_fullStr | Group Divisible Designs with Two Associate Classes and 𝜆2=1 |
| title_full_unstemmed | Group Divisible Designs with Two Associate Classes and 𝜆2=1 |
| title_short | Group Divisible Designs with Two Associate Classes and 𝜆2=1 |
| title_sort | group divisible designs with two associate classes and 𝜆2 1 |
| url | http://dx.doi.org/10.1155/2011/148580 |
| work_keys_str_mv | AT nittiyapabhapote groupdivisibledesignswithtwoassociateclassesandλ21 AT narongpunnim groupdivisibledesignswithtwoassociateclassesandλ21 |