Brooke Hogan's got a lasting reminder of her late father, Hulk Hogan ... because she named one of her twins after him.
Sources close to Brooke tell TMZ ... despite Brooke and Hulk being estranged when she gave birth to twins back in January, she gave a special tribute to her famous father by giving her daughter his middle name, Gene.
Brooke's daughter is named Molly Gene Oleksy .