The phrase "genus name" refers to the scientific name given to a group of organisms that share similar characteristics. It is a way of organizing living things into different categories based on their similarities. Full definition
The fleas described in their paper had certain genital features not found in any known genera, prompting the authors to define a new genus they named Musserellus in honor of Dr. Guy Musser, who collected some of the specimens in Sulawesi in the 1970s. (sciencedaily.com)
«I am delighted to have this new genus named after me.» (sciencedaily.com)
Paleontologists have placed the creature in a new genus named Calvapilosa («hairy scalp» in Latin). (sciencemag.org)