Actually, Yamcha dumped her first. At the end of Freeza saga, and the beginning of Trunks saga, Yamcha was suspicous thst something was going on between Bulma and Vegeta, because a) she let him stay in Capsule corp b) she took great care of him- provided him with clothes, food, fighting capsule. and c) when the fighting capsule blew up, she nurtured vegeta. He got frustrated and thought Bulma was cheating on him, and so he dumped her, which was the cue for Bulma to get together with Vegeta.
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