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Doubly Resolvable Nearly Kirkman Triple Systems
Author(s) -
Abel R. Julian R.,
Chan Nigel,
Colbourn Charles J.,
Lamken E. R.,
Wang Chengmin,
Wang Jinhua
Publication year - 2013
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/jcd.21342
Subject(s) - mathematics , combinatorics , block (permutation group theory) , triple system , discrete mathematics , pure mathematics
Necessary conditions for existence of a resolvable group divisible design (GDD) with block size 3 and type 2 v / 2(a nearly Kirkman triple system, NKTS( v )), are v ≥ 18 and v ≡ 0 (mod 6). In this paper, we look at doubly resolvable NKTS( v )s; here we find that these necessary conditions are sufficient, except possibly for 64 values of v .