Mehdi Behzad (Persian:مهدی بهزاد; born April 22, 1936) is a mathematician of Iranian origin specializing in graph theory. He introduced his total coloring theory (also known as "Behzad's conjecture" or "the total chromatic number conjecture"), which is regarded as one of the most beautiful conjectures in graph theory, during his Ph.D. studies in 1965. Despite active work on this problem during the last 50 years, including publication of several books and dissertations as well as hundreds of papers, this conjecture remains as challenging as it is open. In fact, Behzad's conjecture now belongs to mathematics’ classic open problems.
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