A doubly divisible nearly Kirkman system
نویسندگان
چکیده
منابع مشابه
A doubly divisible nearly Kirkman system
in this note we exhibit an exam;rle of a new class c)f combinatorial array, A ROOK square i9j it: an r x t square each of whose I ells is either empty or contains a distinct uncrrdered pair with cniik I,,;_ += 4er of integers (! 3, . . ., I + 1) such that each integer appears exactly Once m each row and exactly once in eacii bL:!:~WC oresent an analagaus square whose entries arc unordered tripl...
متن کاملFurther results on nearly Kirkman triple systems with subsystems
In this paper we further discuss the embedding problem for nearly Kirkman triple systems and get the result that: (1) For u ≡ v ≡ 0 (mod 6), v¿ 78, and u¿ 3:5v, there exists an NKTS(u) containing a sub-NKTS(v). (2) For v = 18; 24; 30; 36; 42; 48; 54; 60; 66 or 72, there exists an NKTS(u) containing a sub-NKTS(v) if and only if u ≡ 0 (mod 6) and u¿ 3v. c © 2002 Elsevier B.V. All rights reserved.
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ژورنال
عنوان ژورنال: Discrete Mathematics
سال: 1977
ISSN: 0012-365X
DOI: 10.1016/0012-365x(77)90011-5