What is the difference between the breakpoint graph and the de Bruijn graph?

• Published in: BMC genomics Vol. 15; no. Suppl 6; p. S6
• Main Authors: Lin, Yu, Nurk, Sergey, Pevzner, Pavel A
• Format: Journal Article
• Language: English
• Published: London BioMed Central 17.10.2014; BioMed Central Ltd; Springer Nature B.V
• Subjects: Algorithms; Animal Genetics and Genomics; Animals; Bioinformatics; Biomedical and Life Sciences; Chromosome Breakpoints; Genome; Genomes; Genomics; Genomics - methods; Graphs; Humans; Life Sciences; Microarrays; Microbial Genetics and Genomics; Models, Genetic; Molecular biology; Plant Genetics and Genomics; Proteomics; Recombination, Genetic; Studies; breakpoint graphs; de Bruijn graphs; genome rearrangements; genome assembly
• ISSN: 1471-2164; 1471-2164
• DOI: 10.1186/1471-2164-15-S6-S6

The breakpoint graph and the de Bruijn graph are two key data structures in the studies of genome rearrangements and genome assembly. However, the classical breakpoint graphs are defined on two genomes (represented as sequences of synteny blocks), while the classical de Bruijn graphs are defined on a single genome (represented as DNA strings). Thus, the connection between these two graph models is not explicit. We generalize the notions of both the breakpoint graph and the de Bruijn graph, and make it transparent that the breakpoint graph and the de Bruijn graph are mathematically equivalent. The explicit description of the connection between these important data structures provides a bridge between two previously separated bioinformatics communities studying genome rearrangements and genome assembly.