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On simple and supersimple transversal designs
Author(s) -
Hartmann Sven
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)8:5<311::aid-jcd1>3.0.co;2-1
Subject(s) - transversal (combinatorics) , mathematics , simple (philosophy) , combinatorics , mathematical analysis , epistemology , philosophy
Abstract In this paper, the existence of a transversal design TD λ (4, g ) is proved for all indices λ satisfying 2 ≤ λ ≤ g such that any two of its blocks intersect in at most two elements. Similar results are obtained for transversal designs without repeated blocks. © 2000 John Wiley & Sons, Inc. J Combin Designs 8: 311–320, 2000