Ligers: Where the Male is a Lion and the female a Tiger
Tigon: Where the Male is a Tiger and the female a Lion.
Ligers are always bigger than Tigons.
Ligers are typically almost twice the size of their parents. Perhaps it is the male lion that carries the Giantism gene?
I think it could be the female tiger. I don't know. Although, the American Lion and the Cave Lion were giants compared to today's lions and tigers...