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

SPAdes: A New Genome Assembly Algorithm and Its Applications to Single-Cell Sequencing

(2012) Anton Bankevich et al.   JOURNAL OF COMPUTATIONAL BIOLOGY

De novo assembly and genotyping of variants using colored de Bruijn graphs

(2012) Zamin Iqbal et al.   NATURE GENETICS

DRIMM-Synteny: decomposing genomes into evolutionary conserved segments

(2010) Son K. Pham et al.   BIOINFORMATICS

Ray: Simultaneous Assembly of Reads from a Mix of High-Throughput Sequencing Technologies

(2010) Sébastien Boisvert et al.   JOURNAL OF COMPUTATIONAL BIOLOGY

Comparative genomics reveals birth and death of fragile regions in mammalian evolution

(2010) Max A Alekseyev et al.   GENOME BIOLOGY

Genome assembly reborn: recent computational challenges

(2009) M. Pop   BRIEFINGS IN BIOINFORMATICS

Breakpoint graphs and ancestral genome reconstructions

(2009) M. A. Alekseyev et al.   GENOME RESEARCH

Recovering genome rearrangements in the mammalian phylogeny

(2009) H. Zhao et al.   GENOME RESEARCH

ABySS: A parallel assembler for short read sequence data

(2009) J. T. Simpson et al.   GENOME RESEARCH

De novo assembly of human genomes with massively parallel short read sequencing

(2009) R. Li et al.   GENOME RESEARCH

Genomes as documents of evolutionary history

(2009) Bastien Boussau et al.   TRENDS IN ECOLOGY & EVOLUTION

ALLPATHS: De novo assembly of whole-genome shotgun microreads

(2008) J. Butler et al.   GENOME RESEARCH

Velvet: Algorithms for de novo short read assembly using de Bruijn graphs

(2008) D. R. Zerbino et al.   GENOME RESEARCH

Short read fragment assembly of bacterial genomes

(2007) M. J. Chaisson et al.   GENOME RESEARCH