3 papers
math.RA2022
An algebraic model for inversion and deletion in bacterial genome rearrangement
Chad Clark, Julius Jonušas, James D. Mitchell +1
Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are…
math.RA2022
Presentations for wreath products involving symmetric inverse monoids and categories
Chad Clark, James East
Wreath products involving symmetric inverse monoids/semigroups/categories arise in many areas of algebra and science, and presentations by generators and relations are crucial tool…
math.GR2016
Bacterial phylogeny in the Cayley graph
Chad Clark, Attila Egri-Nagy, Andrew R. Francis +1
Many models of genome rearrangement involve operations (e.g. inversions and translocations) that are self-inverse, and hence generate a group acting on the space of genomes. This g…