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On the existence of room frames of type t u for u = 4 and 5
Author(s) -
Gennian Ge,
Lie Zhu
Publication year - 1993
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.3180010302
Subject(s) - mathematics , combinatorics , type (biology) , ecology , biology
In this article, we describe some new constructions for Room frames and use them to show the existence of Room frames of types t 4 and t 5 . Combining the result with those of Dinitz and Stinson leads to the following: the only cases for which the existence of Room frames is undecided are those types t 4 where t = 14,22,26,34,38,46,62,74,82,86,98,122,134,146. © 1993 John Wiley & Sons, Inc.