Durbin, R.

Skiplists (Pugh, 1990) are probabilistic data structures over ordered lists supporting O(log N) insertion and search, which share many properties with balanced binary trees. Previously we introduced the graph Burrows-Wheeler transform (GBWT) to support efficient search over pangenome path sets, but current implementations are static and cumbersome to build and use. Here we introduce two doubly-linked skiplist variants over run-length-compressed BWTs that support O(log N) rank, access and insert operations. We use these to store and search over paths through a syncmer graph built from Edgar's closed syncmers, equivalent to a sparse de Bruijn graph. Code is available in rskip.[ch] within the syng package at github.com/richarddurbin/syng. This builds a 5.8 GB lossless GBWT representation of 92 full human genomes (280Gbp including all centromeres and other repeats) single-threaded in 52 minutes, on top of a 4GB 63bp syncmer set built in 37 minutes. Arbitrarily long maximal exact matches (MEMs) can then be found as seeds for sequence matches to the graph at a search rate of approximately 1Gbp per 10 seconds per thread.