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A person's Erdős–Bacon number is the sum of one's Erdős number —which measures the "collaborative distance" in authoring mathematical papers between that person and Hungarian mathematician Paul Erdős —and one's Bacon number —which represents the number of links, through roles in films, by which the individual is separated from American actor Kevin Bacon . The lower the number, the closer a person is to Erdős and Bacon, and this reflects a small world phenomenon in academia and entertainment. The idea of Erdős–Bacon numbers has been written about by Simon Singh in the British media [ 1 ] [ 2 ] and Benjamin Rosenbaum , [ 3 ] among others, [ 4 ] in the blogosphere . Roles as self, as a cameo appearance , or as an extra are often included for the Bacon component. The Erdős criterion technically refers to collaboration on mathematical papers, but it is often relaxed to include general research articles for the Erdős–Bacon number. [ 5 ]
