Patti Hart, the head of the Yahoo search committee that hired Thompson in January, won't seek re-election at the company's annual meeting later this year. That's what unnamed people close to the situation told All Things D, a technology blog affiliated with The Wall Street Journal.
All Things D said Hart's departure could be announced later Tuesday.
Yahoo Inc. had no immediate comment.
Hart's resignation would make her the first casualty of a dust-up caused by the recent exposure of a bogus college degree that has periodically appeared in Thompson's official biography.
The bio included a computer science degree that Thompson never received.
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