Uniform room frames with five holes | Zendy

Dinitz J. H. | Zendy; Lamken E. R. | Zendy

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Uniform room frames with five holes

Author(s) -

Dinitz J. H.,

Lamken E. R.

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.3180010406

Subject(s) - mathematics , frame (networking) , construct (python library) , type (biology) , combinatorics , pure mathematics , discrete mathematics , telecommunications , computer science , ecology , biology , programming language

In 1981, Dinitz and Stinson [2] proved that the necessary conditions were sufficient for the existence of a Room frame of type t u for all u ≥ 6. Very recently, Zhu Lie and Ge Gennian [5] constructed all t 5 Room frames except for four missing orders. In this article we construct t 5 Room frames for t = 11,13,17, and 19; this completes the proof that the necessary conditions are sufficient for the existence of a Room frame of type t 5 . © 1993 John Wiley & Sons, Inc.

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