Dear Nizar Abu-Hamdeh,
“What is more important in vertical jump power: quads or glutes/hamstrings?” It’s impossible to answer to the question in absolute terms.
In the vertical jump are involved all legs muscles, from glutes to calves, in a “conjugate” sequence.
In the Vertical Jump power output, the contribution of each of these muscle groups depends on the specific characteristic of athlete and on his sport specialization.
Probably, Weightlifters, that have a more powerful Glutes/Hamstrings, use more Glutes/Hamstrings than Quads. Runners, that have a more powerful and fast Quads, use more Quads than Glutes/Hamstring.
Yuri Verkhoshansky