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Self‐converse Mendelsohn designs with block size 4 and 5
Author(s) -
Kang Qingde,
Shan Xiuling,
Sun Qiujie
Publication year - 2000
Publication title -
journal of combinatorial designs
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.618
H-Index - 34
eISSN - 1520-6610
pISSN - 1063-8539
DOI - 10.1002/1520-6610(2000)8:6<411::aid-jcd3>3.0.co;2-q
Subject(s) - converse , mathematics , combinatorics , block (permutation group theory) , discrete mathematics , geometry
A ( v, k, λ )‐Mendelsohn design( X , ℬ) is called self‐converse if there is an isomorphic mapping ƒ from ( X , ℬ) to ( X , ℬ −1 ), where ℬ −1 = { B −1 = 〈 x k , x k −1 ,…, x 2 , x 1 〉: B = 〈 x 1 , x 2 ,…, x k −1 , x k 〉 ϵ ℬ}. In this paper, we give the existence spectrum for self‐converse ( v , 4, 1)– and ( v , 5, 1)– Mendelsohn designs. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 411–418, 2000