The genome of an organism is the complete set of genetic information necessary to encode and control all of the proteins the organism will ever synthesize. It also refers to the actual information-bearing molecule - in the case of Humans this is DNA. Sexual reproduction involves genetic recombination of information encoded in the male and female genomes. Eugenics and genetic engineering involve directed manipulation of the information encoded in the genome.
During the Kyrian re-creation of "The Voyager Encounter", the Emergency Medical Android had examined the Kyrian genome and determined they would be vulnerable to any number of biological weapons. (VOY: "Living Witness")
A genome thief ran a DNA stability analysis in 2374 to determine the length of time until his genome reverted to its previous form. (VOY: "Vis à Vis")
Icheb analyzed his genome in 2376 and determined that his parents made microgenetic alterations that would produce a pathogen engineered to destroy the Borg. (VOY: "Child's Play")
In 2377, B'Elanna Torres ran a holodeck simulation in which she modified her unborn child's genome. (VOY: "Lineage")