caa a22 4500 475807472 CHVBK 20180406123751.0 cr unu---uuuuu 170329e20000101xx s 000 0 eng 10.1023/A:1008334412968 doi (NATIONALLICENCE)springer-10.1023/A:1008334412968 HOPs and COPs: Room frames with partitionable transversals [Elektronische Daten] [J. Dinitz, E. Lamken] 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. Kluwer Academic Publishers, 2000 Room squares nationallicence room frames nationallicence Dinitz J. Department of Mathematics, University of Vermont, 05405, Burlington, VT aut Lamken E. Department of Mathematics 253-37, California Institute of Technology, 91125, Pasadena, CA aut Designs, Codes and Cryptography Kluwer Academic Publishers 19/1(2000-01-01), 5-26 0925-1022 19:1<5 2000 19 10623 https://doi.org/10.1023/A:1008334412968 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1008334412968 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Dinitz J. Department of Mathematics, University of Vermont, 05405, Burlington, VT aut NATIONALLICENCE 700 1- Lamken E. Department of Mathematics 253-37, California Institute of Technology, 91125, Pasadena, CA aut NATIONALLICENCE 773 0- Designs, Codes and Cryptography Kluwer Academic Publishers 19/1(2000-01-01), 5-26 0925-1022 19:1<5 2000 19 10623 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer