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HOPs and COPs: Room frames with partitionable transversals

Dinitz, Jeffrey H. and Lamken, Esther R. (2000) HOPs and COPs: Room frames with partitionable transversals. Designs, Codes and Cryptography, 19 (1). pp. 5-26. ISSN 0925-1022. doi:10.1023/A:1008334412968.

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In this paper, we construct Room frames with partitionable transversals. Direct and recursive constructions are used to find sets of disjoint complete ordered partitionable (COP) transversals and sets of disjoint holey ordered partitionable (HOP) transversals for Room frames. Our main results include upper and lower bounds on the number of disjoint COP transversals and the number of disjoint HOP transversals for Room frames of type 2n. This work is motivated by the large number of applications of these designs.

Item Type:Article
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Additional Information:© 2000 Kluwer. Received March 5, 1997; Accepted November 13, 1998. Communicated by: J. D. Key.
Subject Keywords:Room squares, room frames
Issue or Number:1
Record Number:CaltechAUTHORS:20170408-155932537
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Official Citation:Dinitz, J.H. & Lamken, E.R. Designs, Codes and Cryptography (2000) 19: 5. doi:10.1023/A:1008334412968
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76106
Deposited By: 1Science Import
Deposited On:12 Jun 2017 23:36
Last Modified:03 Oct 2019 16:57

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