Paul Erdős is flanked by Kevin Bacon and the members of Black Sabbath

Who else has an Erdős-Bacon-Sabbath number?

A little while ago, I did some sleuthing to find out the Erdős number of Brian May, astrophysicist and guitarist from Queen. My travels led me to Timeblimp, who threw together three measures of professional collaboration to make a rather fun parlour game. Assuming that the people in your parlour are three kinds of nerds and enjoy long and complicated internet scavenger hunts. Which I am and I do.


The game is to find a well-known person who has published academically, released a song, and been involved in a movie or TV show. Then, you play three versions of Six Degrees of Kevin Bacon: find a series of movies to connect them to prolific actor Kevin Bacon, a series of coauthored papers to connect them to the eccentric mathematician Paul Erdős, and a series of musical collaborations to get to Black Sabbath. Add up all the links and you get the Erdős-Bacon-Sabbath number.

Brian Cox has an Erdős-Bacon-Sabbath number

If anyone has an Erdős-Bacon-Sabbath number, Brian Cox is exactly the sort of person you might expect to have one. The keyboardist, particle physicist, and BBC science presenter is no more than 7+3+3 degrees of separation from the centers of the EBS graph.

Sean from Timeblimp first suggested the possibility of Brian Cox having a well-defined Erdős-Bacon-Sabbath number, but to my knowledge nobody had worked out his Erdős number until now. I managed to find a path of length seven.

Erdős numberResearcherCitation
7Brian CoxHard colour singlet exchange at the Tevatron
6Leif LönnbladSmall-x dipole evolution beyond the large Nc limit
5Gösta GustafsonThe action-angle variables for the massless relativistic string in 1+1 dimensions
4Bo SöderbergScaling laws for mode locking in circle maps
3Boris ShraimanScaling theory for noisy period-doubling transitions to chaos
2C Eugene WayneThe Euler-Bernoulli beam equation with boundary energy dissipation
1Steven George KrantzIntersection graphs for families of balls in ℝn
Paul Erdős

The above connections use only papers with three coauthors or fewer. Cox has worked in gigantic collaborations like ATLAS, so it’s quite possible that there might be a shorter path.

Brian Cox — not to be confused with the other Brian Cox — is three degrees of separation from Kevin Bacon through his many TV appearances, including cameos on Doctor Who.

Bacon numberActorCredit
3Brian CoxDoctor Who “The Power of Three”
2Matt SmithCharlie Says
1Sosie BaconStory of a Girl
Kevin Bacon

Brian Cox had a successful music career before finishing his PhD and also has a Sabbath number of three.

Sabbath numberMusicianBand/Album
3Brian CoxDare
2Darren WhartonThin Lizzy
1Tommy AldridgeSpeak of the Devil
Ozzy OsbourneBlack Sabbath

Aftermath

After I published this post, someone brought it to the attention to none other than Brian Cox himself!

A screenshot of a tweet by Brian Cox, reading "It has just been pointed out to me that I have an Erdős-Bacon-Sabbath number!!"

The resulting hullabaloo led to the discovery of many other Erdős-Bacon-Sabbath numbers. Eventually, I retired from EBS research after realizing its flaws as a game and as a social construct.