Kim Kardashian and Reggie Bush have split, her rep confirms to

"Nobody cheated," a source close to the couple says. "This is just a case of conflicting schedules and their lives going in different directions.

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"It was a totally mutual decision," continues the source. The reality star, 28, began dating Bush, 24, the running back for the New Orleans Saints, in April 2007.

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In June of this year, she denied rumors of an engagement, as falsely reported by tabloid Star. "I am not engaged!" she wrote on her Web site. "The rumors about me picking out my ring already are also not true! I don't know where all this comes from!!"

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But last December, she told Us "of course, I would say yes!" if Bush proposed. When asked about marriage, Kardashian told Us then: "We are totally happy, and we have a great relationship, and it's definitely where things are heading. But hopefully it will be a surprise!"