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Large sets of resolvable MTS and DTS of orders pn + 2

✍ Scribed by Qing-de Kang

Book ID
102661647
Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
884 KB
Volume
4
Category
Article
ISSN
1063-8539

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✦ Synopsis

An LRMTS(v) [resp., LRDTS(v)] is a large set consisting of v -2 [resp., 3(v -2)] disjoint resolvable Mendelsohn (resp., directed) triple systems of order v. In this article, we give a method to construct LRMTS@" + 2) and LRDTS@" + 2), wherep" is a prime power andp" = 1 (mod 6). Using the method and a recursive construction v -+ 3v, some unknown LRMTS(v) and LRDTS(V) are obtained such as for v = 69,123,141,159, and 3km, where k 2 1, m E (7, 13,37

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✍ Qingde Kang; Jianguo Lei πŸ“‚ Article πŸ“… 1996 πŸ› John Wiley and Sons 🌐 English βš– 430 KB πŸ‘ 1 views

An MTS(v) [or DTS(v)] is said to be resolvable, denoted by RMTS(v) [or RDTS(v)], if its block set can be partitioned into parallel classes. An MTS(v) [or DTS(v)] is said to be almost resolvable, denoted by ARMTS(v) [or ARDTS(v)], if its bloak set can be partitioned into almost parallel classes. The