… de Bruijn sequences of general alphabet size and with order \(n+k\), given a de Bruijn sequence
… class of graph homomorphisms between de Bruijn digraphs whose orders differ by an …

… stretch of contiguous sequence from a de Bruijn sequence longer than L generated by a
linear feedback function, as described in Chapter 7, Section 5 of Golomb’s text [16]. In his 2000 …

… sequence, if it runs from some integer I?I to 00 we have a one-sided infinite sequence stretching
… from - oo to some integer m we have a one-sided infinite sequence stretching to the left. …

… de Bruijn sequences. A method is given to stretch a de Bruijn sequence of order n to a de
Bruijn … construction, that is, stretching a de Bruijn of order n to a de Bruijn sequence of order n + …

… code sequences and FCSR sequences, we show that any l-sequence can be extended to
a de Bruijn sequence by joining some other sequences at proper positions. In particular, we …

… part of sequence assembly or alignment algorithms. Here, we leverage weighted de
Bruijn graphs … We then utilize these weighted de Bruijn graphs to identify alternate, higher-likelihood …

… An important special case of these separative sequences produces universal cycles for … de
Bruijn sequences of patterns with a maximum density of ones. As for full de Bruijn sequences, …

… We also consider infinite De Bruijn sequences. An n-DB sequence is a total ordering of Nn
that satisfies condition (1) … We show now that we indeed construct a De Bruijn sequence. …

… Here, we introduce the paired de Bruijn graph, a generalization of the de Bruijn graph that …
This graph has the potential to be used in place of the de Bruijn graph in any de Bruijn graph …

… major areas of sequence divergence between the two genomes occur in the intergenic
regions. The stretch of DNA between the tRNAP’” and the tRNAPh’ genes, which has no known …