A wedding is a ceremony to mark the marriage between two or more individuals.
Malachorian weddings involved soaking the grooms with alcohol. Brianna Reiss and Vaebn Mairex were wed in 2385, according to Romulan and later, Malachorian wedding traditions. (RIS Bouteina: "Marriage and Honeymoon")
Lyran weddings involved having the honor attendant presenting the newlyweds with a platter of game meat, after exchanging vows around a bonfire. (Star Trek: The Stoneship Files: "A Knight without Armor")