The existence of three idempotent IMOLS

Authors:
R. Julian R. Abel;Beiliang Du
Affiliations:
School of Mathematics, University of New South Wales, Sydney 2052, Australia;Department of Mathematics, Suzhou University, Suzhou 215006, People's Republic of China
Venue:
Discrete Mathematics
Year:
2003

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Abstract

In this paper it is shown that an idempotent TD(5,m)- TD(5,n) exists whenever the known necessary condition m ≥ 4n+ 1 is satisfied, except when (m, n)=(6, 1) and possible when (m, n)= (10, 1). For m 60 and n ≤ 10, we also indicate where several idempotent TD(k, m)-TD(k, n)'s for k = 6, 7 can be found.