Erdős–Bacon Number
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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 academic papers between that person and Hungarian mathematician
Paul Erdős Paul Erdős ( hu, Erdős Pál ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in ...
—and one's
Bacon number Six Degrees of Kevin Bacon or Bacon's Law is a parlor game where players challenge each other to arbitrarily choose an actor and then connect them to another actor via a film that both actors have appeared in together, repeating this process to t ...
—which represents the number of links, through roles in films, by which the person is separated from American actor Kevin Bacon. The lower the number, the closer a person is to Erdős and Bacon, which reflects a small world phenomenon in academia and entertainment. To have a defined Erdős–Bacon number, it is necessary to have both appeared in a film and co-authored an academic paper, although this in and of itself is not sufficient as ones co-authors must have a known chain leading to
Paul Erdős Paul Erdős ( hu, Erdős Pál ; 26 March 1913 – 20 September 1996) was a Hungarian mathematician. He was one of the most prolific mathematicians and producers of mathematical conjectures of the 20th century. pursued and proposed problems in ...
, and one's film must have actors eventually leading to Kevin Bacon.


Academic scientists

Mathematician
Daniel Kleitman Daniel J. Kleitman (born October 4, 1934)article availableon Douglas West's web page, University of Illinois at Urbana–Champaign)."Kleitman, Daniel J.," in: ''Who's Who in Frontier Science and Technology'', 1, 1984, p. 396. is an American mathe ...
has an Erdős–Bacon number of 3. He co-authored papers with Erdős and has a Bacon number of 2 via Minnie Driver in '' Good Will Hunting''; Driver and Bacon appeared together in ''
Sleepers ''Sleepers'' is a 1996 American legal crime drama film written, produced, and directed by Barry Levinson, and based on Lorenzo Carcaterra's 1995 book of the same name. The film stars Kevin Bacon, Jason Patric, Brad Pitt, Robert De Niro, Dustin Ho ...
''. Like Kleitman, mathematician
Bruce Reznick Bruce Reznick (born February 3, 1953 in New York City) is an American mathematician long on the faculty at the University of Illinois at Urbana–Champaign. He is a prolific researcher noted for his contributions to number theory and the combina ...
has co-authored a paper with Erdős and has a Bacon number of 2, via
Roddy McDowall Roderick Andrew Anthony Jude McDowall (17 September 1928 – 4 October 1998) was a British actor, photographer and film director. He began his acting career as a child in England, and then in the United States, in ''How Green Was My Valley'' (1 ...
in the film ''
Pretty Maids All in a Row ''Pretty Maids All in a Row'' is a 1971 American sexploitation film that is part black comedy, part sex comedy, and part murder mystery. Starring Rock Hudson, Angie Dickinson, and Telly Savalas, it was released on April 28, 1971. Roger Vadim dire ...
'', giving him an Erdős–Bacon number of 3 as well. Physicist
Nicholas Metropolis Nicholas Constantine Metropolis (Greek: ; June 11, 1915 – October 17, 1999) was a Greek-American physicist. Metropolis received his BSc (1937) and PhD in physics (1941, with Robert Mulliken) at the University of Chicago. Shortly afterwards, ...
has an Erdős number of 2, and also a Bacon number of 2, giving him an Erdős–Bacon number of 4. Physicists Nicholas Metropolis and Richard Feynman both worked on the
Manhattan Project The Manhattan Project was a research and development undertaking during World War II that produced the first nuclear weapons. It was led by the United States with the support of the United Kingdom and Canada. From 1942 to 1946, the project w ...
at Los Alamos Laboratory. Via Metropolis, Feynman has an Erdős number of 3 and, from having appeared in the film ''
Anti-Clock ''Anti-Clock'' is a 1979 science fiction film written and directed by Jane Arden (director), Jane Arden and co-directed by Jack Bond (director), Jack Bond. In the film, dreams are imaged in computerized video. The film, which stars Arden's so ...
'' alongside Tony Tang, Feynman also has a Bacon number of 3. Richard Feynman thus has an Erdős–Bacon number of 6. Theoretical physicist Stephen Hawking has an Erdős–Bacon number of 6: his Bacon number of 2 (via his appearance alongside
John Cleese John Marwood Cleese ( ; born 27 October 1939) is an English actor, comedian, screenwriter, and producer. Emerging from the Cambridge Footlights in the 1960s, he first achieved success at the Edinburgh Festival Fringe and as a scriptwriter and ...
in '' Monty Python Live (Mostly)'', who acted alongside Kevin Bacon in '' The Big Picture'') is lower than his Erdős number of 4. Similarly to Stephen Hawking, scientist
Carl Sagan Carl Edward Sagan (; ; November 9, 1934December 20, 1996) was an American astronomer, planetary scientist, cosmologist, astrophysicist, astrobiologist, author, and science communicator. His best known scientific contribution is research on ext ...
has an Erdős–Bacon number of 6, also from a Bacon number of 2 and an Erdős number of 4. Mathematician
Jordan Ellenberg Jordan Stuart Ellenberg (born October 30, 1971) is an American mathematician who is a professor of mathematics at the University of Wisconsin–Madison. His research involves arithmetic geometry. He is also an author of both fiction and non-ficti ...
has an Erdős number of 3 and a Bacon number of 2 due to a cameo appearance in the film ''
Gifted Intellectual giftedness is an intellectual ability significantly higher than average. It is a characteristic of children, variously defined, that motivates differences in school programming. It is thought to persist as a trait into adult life, wi ...
'' for which he was also the mathematical consultant


Actors

Danica McKellar, who played
Winnie Cooper This is a list of characters of the television series ''The Wonder Years''. Main characters Kevin Arnold Kevin Arnold (Fred Savage) is the main character. Born on March 18, 1956, Kevin grew up in the turbulent late 1960s and early 1970s. Right ...
in '' The Wonder Years'', has an Erdős–Bacon number of 6. While an undergraduate at the
University of California, Los Angeles The University of California, Los Angeles (UCLA) is a public land-grant research university in Los Angeles, California. UCLA's academic roots were established in 1881 as a teachers college then known as the southern branch of the California St ...
, McKellar coauthored a
mathematics Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics ...
paper with Lincoln Chayes, who via his wife
Jennifer Tour Chayes Jennifer Tour Chayes is Associate Provost of the Division of Computing, Data Science, and Society and Dean of the School of Information at the University of California, Berkeley. Before joining Berkeley, she was a Technical Fellow and Managing Dir ...
has an Erdős number of 3, giving McKellar one of 4. Having worked with Margaret Easley, McKellar has a Bacon number of 2. Israeli-American actress
Natalie Portman Natalie Portman (born Natalie Hershlag, he, נטע-לי הרשלג, ) is an Israeli-born American actress. She has had a prolific film career since her teenage years and has starred in various blockbusters and independent films, receiving mu ...
has an Erdős–Bacon number of 7. She collaborated (using her birth name, Natalie Hershlag) with Abigail A. Baird, who has a collaboration path leading to
Joseph Gillis Joseph E. Gillis (3 August 1911 – 18 November 1993) was a British-Israeli mathematician and one of the founders of the Faculty of Mathematics at the Weizmann Institute of Science, where he served as a Professor of Applied Mathematics. He made n ...
, who has an Erdős number of 1, giving Portman an Erdős number of 5. Portman appeared in ''A Powerful Noise Live'' (2009) with Sarah Michelle Gellar, who appeared in ''
The Air I Breathe ''The Air I Breathe'' is a 2007 crime drama film and the directorial debut of Korean-American filmmaker Jieho Lee, who co-wrote the script with Bob DeRosa. The film stars Kevin Bacon, Julie Delpy, Brendan Fraser, Andy Garcia, Sarah Michelle Gella ...
'' (2007) with Bacon, giving Portman a Bacon number of 2. British actor
Colin Firth Colin Andrew Firth (born 10 September 1960) is an English actor and producer. He was identified in the mid-1980s with the " Brit Pack" of rising young British actors, undertaking a challenging series of roles, including leading roles in '' A M ...
has an Erdős–Bacon number of 6. Firth is credited as co-author of a neuroscience paper, "Political Orientations Are Correlated with Brain Structure in Young Adults", after he suggested on
BBC Radio 4 BBC Radio 4 is a British national radio station owned and operated by the BBC that replaced the BBC Home Service in 1967. It broadcasts a wide variety of spoken-word programmes, including news, drama, comedy, science and history from the BBC' ...
that such a study could be done. Another author of that paper,
Geraint Rees Geraint Ellis Rees is Vice- Provost of research, innovation & global engagement at University College London (UCL). Previously he served as Dean of the UCL Faculty of Life Sciences, UCL Pro-Provost (Academic Planning), Pro-Vice-Provost (AI) and ...
, has an Erdős number of 4, which gives Firth an Erdős number of 5. Firth's Bacon number of 1 is due to his appearance in ''
Where the Truth Lies ''Where the Truth Lies'' is a 2005 British-Canadian erotic thriller film written and directed by Atom Egoyan and starring Kevin Bacon, Colin Firth, and Alison Lohman. It is based on Rupert Holmes' 2003 novel of the same name. The film alternat ...
''. Kristen Stewart has an Erdős–Bacon number of 7; she is credited as a co-author on an
artificial intelligence Artificial intelligence (AI) is intelligence—perceiving, synthesizing, and inferring information—demonstrated by machines, as opposed to intelligence displayed by animals and humans. Example tasks in which this is done include speech re ...
paper that was written after a technique was used for her short film '' Come Swim'', giving her an Erdős number of 5, and she co-starred with Michael Sheen in ''
Twilight Twilight is light produced by sunlight scattering in the upper atmosphere, when the Sun is below the horizon, which illuminates the lower atmosphere and the Earth's surface. The word twilight can also refer to the periods of time when this il ...
'', who co-starred with Bacon in '' Frost/Nixon'', giving her a Bacon number of 2.


Others

Elon Musk Elon Reeve Musk ( ; born June 28, 1971) is a business magnate and investor. He is the founder, CEO and chief engineer of SpaceX; angel investor, CEO and product architect of Tesla, Inc.; owner and CEO of Twitter, Inc.; founder of The Bori ...
, who is neither a scientist nor an actor, has an Erdős–Bacon number of 6. In 2010 Musk had a cameo in the film '' Iron Man 2''. Since actor Mickey Rourke played a role in both ''Iron Man 2'' and in ''
Diner A diner is a small, inexpensive restaurant found across the United States, as well as in Canada and parts of Western Europe. Diners offer a wide range of foods, mostly American cuisine, a casual atmosphere, and, characteristically, a com ...
'' where also Kevin Bacon played a role, Musk has a
Bacon number Six Degrees of Kevin Bacon or Bacon's Law is a parlor game where players challenge each other to arbitrarily choose an actor and then connect them to another actor via a film that both actors have appeared in together, repeating this process to t ...
of 2. In 2021 Musk coauthored a
peer-reviewed Peer review is the evaluation of work by one or more people with similar competencies as the producers of the work (peers). It functions as a form of self-regulation by qualified members of a profession within the relevant field. Peer review ...
scientific paper on
COVID-19 Coronavirus disease 2019 (COVID-19) is a contagious disease caused by a virus, the severe acute respiratory syndrome coronavirus 2 (SARS-CoV-2). The first known case was COVID-19 pandemic in Hubei, identified in Wuhan, China, in December ...
together with among others
Pardis Sabeti Pardis Christine Sabeti ( fa, پردیس ثابتی; born December 25, 1975) is an Iranian-American computational biologist, medical geneticist and evolutionary geneticist. She developed a bioinformatic statistical method which identifies sectio ...
. Since Sabeti has an Erdős number of 3, Musk has an Erdős number of 4 and consequently an Erdős–Bacon number of 6.


Table

Notes:


References

{{DEFAULTSORT:Erdos-Bacon Number Mathematics literature Separation numbers
Bacon Number Six Degrees of Kevin Bacon or Bacon's Law is a parlor game where players challenge each other to arbitrarily choose an actor and then connect them to another actor via a film that both actors have appeared in together, repeating this process to t ...
Mathematics and culture