Erdős–Bacon number
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A person's Erdős–Bacon number is the sum of one's
Erdős number The Erdős number () describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual ...
—which measures the "collaborative distance" in authoring academic papers between that person and Hungarian mathematician Paul Erdős—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 Kevin Norwood Bacon (born July 8, 1958) is an American actor. His films include the musical-drama film '' Footloose'' (1984), the controversial historical conspiracy legal thriller '' JFK'' (1991), the legal drama '' A Few Good Men'' (1992), t ...
. The lower the number, the closer a person is to Erdős and Bacon, which reflects a
small world phenomenon The small-world experiment comprised several experiments conducted by Stanley Milgram and other researchers examining the average path length for social networks of people in the United States. The research was groundbreaking in that it suggeste ...
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, and one's film must have actors eventually leading to
Kevin Bacon Kevin Norwood Bacon (born July 8, 1958) is an American actor. His films include the musical-drama film '' Footloose'' (1984), the controversial historical conspiracy legal thriller '' JFK'' (1991), the legal drama '' A Few Good Men'' (1992), t ...
.


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 Amelia Fiona Jessica "Minnie" Driver (born 31 January 1970) is an English actress. She rose to prominence with her break-out role in 1995's '' Circle of Friends''. She went on to star in a wide range of films including the cult classic '' Grosse ...
in ''
Good Will Hunting ''Good Will Hunting'' is a 1997 American psychological drama film directed by Gus Van Sant, and written by Ben Affleck and Matt Damon. It stars Robin Williams, Damon, Affleck, Stellan Skarsgård and Minnie Driver. The film received positive r ...
''; 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 H ...
''. Like Kleitman, mathematician Bruce Reznick 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'', 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 Richard Phillips Feynman (; May 11, 1918 – February 15, 1988) was an American theoretical physicist, known for his work in the path integral formulation of quantum mechanics, the theory of quantum electrodynamics, the physics of the superfl ...
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 The Los Alamos Laboratory, also known as Project Y, was a secret laboratory established by the Manhattan Project and operated by the University of California during World War II. Its mission was to design and build the first atomic bombs. Ro ...
. Via Metropolis, Feynman has an Erdős number of 3 and, from having appeared in the film '' Anti-Clock'' 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 in ''
Monty Python Live (Mostly) ''Monty Python Live (Mostly)'' (also billed as ''Monty Python Live (Mostly): One Down, Five to Go'') was a variety show by the Monty Python comedy group at The O2 in London in July 2014. Planned as a single performance for 1 July, it was expanded ...
'', who acted alongside Kevin Bacon in '' The Big Picture'') is lower than his Erdős number of 4. Similarly to Stephen Hawking, scientist Carl Sagan 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 Danica Mae McKellar (born January 3, 1975) is an American actress, mathematics writer, and education advocate. She played Winnie Cooper in the television series '' The Wonder Years'' from 1988 to 1993, and since 2010 has voiced Miss Martian in t ...
, 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 ''The Wonder Years'' is an American coming-of-age comedy/drama television series created by Neal Marlens and Carol Black. It ran on ABC from January 31, 1988, until May 12, 1993. The series premiered immediately after ABC's coverage of Super ...
'', 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 S ...
, McKellar coauthored a mathematics paper with Lincoln Chayes, who via his wife Jennifer Tour Chayes 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, 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 Sarah Michelle Prinze ( ; born April 14, 1977) is an American actress. After being spotted at the age of four in New York City, she made her screen acting debut in the television film ''An Invasion of Privacy'' (1983). A leading role on the te ...
, 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 Gel ...
'' (2007) with Bacon, giving Portman a Bacon number of 2. British actor Colin Firth 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, 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''.
Kristen Stewart Kristen Jaymes Stewart (born April 9, 1990) is an American actress. The world's highest-paid actress in 2012, she has received various accolades, including a British Academy Film Award and a César Award, in addition to nominations for an Aca ...
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 r ...
paper that was written after a technique was used for her short film ''
Come Swim Come may refer to: *Comè, a city and commune in Benin *Come (Tenos), an ancient town on Tenos island, Greece Music *Come (American band), an American indie rock band formed in 1990 *Come (UK band), a British noise project founded in 1979 **Come ...
'', giving her an Erdős number of 5, and she co-starred with
Michael Sheen Michael Christopher Sheen OBE (born 5 February 1969) is a Welsh actor, television producer and political activist. After training at London's Royal Academy of Dramatic Art (RADA), he worked mainly in theatre throughout the 1990s with stage rol ...
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 i ...
'', 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 ...
, 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 ''Iron Man 2'' is a 2010 American superhero film based on the Marvel Comics character Iron Man. Produced by Marvel Studios and distributed by Paramount Pictures, it is the sequel to '' Iron Man'' (2008) and the third film in the Marvel ...
''. Since actor
Mickey Rourke Philip Andre "Mickey" Rourke Jr. (; born September 16, 1952) is an American actor and former boxer who has appeared primarily as a leading man in drama, action, and thriller films. During the star of the 1980s, Rourke played supporting roles i ...
played a role in both ''Iron Man 2'' and in '' Diner'' where also
Kevin Bacon Kevin Norwood Bacon (born July 8, 1958) is an American actor. His films include the musical-drama film '' Footloose'' (1984), the controversial historical conspiracy legal thriller '' JFK'' (1991), the legal drama '' A Few Good Men'' (1992), t ...
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 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 identified in Wuhan, China, in December 2019. The disease quickly ...
together with among others Pardis Sabeti. Since Sabeti has an
Erdős number The Erdős number () describes the "collaborative distance" between mathematician Paul Erdős and another person, as measured by authorship of mathematical papers. The same principle has been applied in other fields where a particular individual ...
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