Reducible 2 – (11, 5, 4) and 3 – (12, 6, 4) designs
نویسندگان
چکیده
منابع مشابه
1 1 2 3 4 5 6
1 1 2 3 4 5 6 Complex craniofacial changes in blind cave-dwelling fish are mediated by genetically symmetric 7 and asymmetric loci 8 9 Joshua B. Gross, Amanda J. Krutzler and Brian M. Carlson 10 11 Department of Biological Sciences, University of Cincinnati, Cincinnati, Ohio 45221 12 13 14 15 16 17 18 19 20 21 22 23 Genetics: Early Online, published on February 4, 2014 as 10.1534/genetics.114.1...
متن کاملIn search of 4-(12, 6, 4) designs: Part III
A 4-(12, 6, 4) design that is not also a 5-(12, 6, 1) design must have at least one pair of blocks with five points in common. It is shown that there are just nine non-isomorphic such designs; so, including the 5-(12, 6, 1) design, there are ten 4-(12, 6, 4) designs. These designs are characterised by the orders of their automorphism groups and they all contain a 4-(11, 5, 1) design.
متن کاملIn search of 4-(12, 6, 4) designs: Part I
Martin J. Sharry and Anne Penfold Street, Centre for Combinatorics, Department of Mathematics, The University of Queensland, Brisbane 4072, Australia. As a first step towards finding all 4-(12, 6, 4) designs which are not 5-(12, 6, 1) designs, it is shown that if such a design has a pair of blocks with five points in common, then there is a unique way of assigning the replicas of the seven poin...
متن کامل1 2 3 4 5 6
8 9 A comparison was made between the composition of the recalcitrant organic matter (ROM) 10 isolated from a sandy forest soil as revealed by microwave assisted extractions and/or 11 hydrolyses and by usual pyrolysis techniques. Successive microwave irradiation treatments 12 were performed in H2O, 0.1 and 1 M HCl and 0.1 and 1 M KOH. At each step of the 13 treatment the insoluble residue was e...
متن کاملIn search of 4-(12, 6, 4) designs: Part II
In a 4-(12, 6, 4) design a block is either disjoint from one other block or it has five points in common with one other block. For a 4-(12, 6, 4) design with a pair of blocks of the second type it is shown that· another thirty blocks of the design can be completed in a unique way and these thirty blocks contain a copy of a 3-(10, 4, 1) design.
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ژورنال
عنوان ژورنال: Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics
سال: 1985
ISSN: 0263-6115
DOI: 10.1017/s1446788700022473