Titlebook: Ordering Block Designs; Gray Codes, Universa Megan Dewar,Brett Stevens Textbook 2012 Springer Science+Business Media New York 2012 combinat

高調(diào)

Background,signs and design theory concepts used throughout this monograph. The second half of the chapter deals with more advanced concepts, including configurations, Gray codes and universal cycles (Ucycles). We survey a broad range of results in existence and construction of combinatorial Gray codes and Ucy

correspondent

Ordering the Blocks of Designs,ign. A listing of the blocks of a design such that there is a minimal change between the content of consecutive blocks is a combinatorial Gray code. Note that the minimal change definition will depend on the design parameters. A listing of points such that the blocks of a design are induced by the c

善辯

嫌惡

巨大沒(méi)有

Applications,g, reliability testing, group testing and design of specific statistical experiments. The different orderings encountered span the range of possible definitions of orderings. In erasure-correcting codes we see configuration orderings and their initial motivation. In tournament scheduling we see seve

茁壯成長(zhǎng)

谷類

Bereavement

Chameleon

槍支

Results in Configuration Ordering,and similarly review all known results. We conclude the chapter with a look at configuration orderings for graph decompositions other than those represented by balanced incomplete block designs and pairwise balanced designs. .