Darryn E. Bryant

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Cyclic m-cycle systems of order v are constructed for all m ≥ 3, and all v ≡ 1(mod 2m). This result has been settled previously by several authors. In this paper, we provide a different solution, as a consequence of a more general result, which handles all cases using similar methods and which also allows us to prove necessary and sufficient conditions for(More)
MOTIVATION A consensus sequence for a family of related sequences is, as the name suggests, a sequence that captures the features common to most members of the family. Consensus sequences are important in various DNA sequencing applications and are a convenient way to characterize a family of molecules. RESULTS This paper describes a new algorithm for(More)
The set of integers k for which there exist three latin squares of order n having precisely k cells identical, with their remaining n − k cells di2erent in all three latin squares, denoted by I [n], is determined here for all orders n. In particular, it is shown that I [n] = {0; : : : ; n2−15}∪ {n2 − 12; n − 9; n2}; for n¿ 8. c © 2002 Elsevier Science B.V.(More)
Despite the success of conventional Sanger sequencing, significant regions of many genomes still present major obstacles to sequencing. Here we propose a novel approach with the potential to alleviate a wide range of sequencing difficulties. The technique involves extracting target DNA sequence from variants generated by introduction of random mutations.(More)