By the Numbers

Citation Indices

Citation indices are used to measure the impact of an author's academic publications by quantifying, in various ways, the number of citations that they generate. The following were measured on November 21, 2022 using Google Scholar.

My h-index is 30, which means that 30 of my papers have been cited 30 or more times.
My i10-index is 66, which means that 66 of my publications have been cited 10 or more times.

The following were measured on November 21, 2022 using Harzing's Publish or Perish with data from Google Scholar.

The g-index is an alternative to the h-index. My g-index is 56, which means that 56 of my publications have together been cited a total of 562=3,136 times.
The hI,norm-index is a version of the h-index that normalizes for number of co-authors per paper so that the impact of scholars in different disciplines can be compared. My hI,norm-index is 24.
The hI,annual-index is a version of the h-index that normalizes for length of career. My hI,annual-index is 0.59, which means that I have published an "impactful" paper (defined to be those that have accumulated enough citations to be included in my h-index) every 1.7 years on average.
The e-index is a measure of excess citations ignored by the h-index. My e-index is 41.56.

Erdös Number


Your Erdös number is defined as follows. Paul Erdös has Erdös number 0. If the smallest Erdös number of the coauthors of your research papers is i, then your Erdös number is i+1. My Erdös number is 3, at least four different ways:

  1. Paul Erdös, Endre Szemerédi, Georg Schnitger, Ian Parberry
  2. Paul Erdös, Jeff Shallit, John Sorenson, Ian Parberry
  3. Paul Erdös, Carl Pomerance, John Sorenson, Ian Parberry
  4. Paul Erdös, Michael Saks, Piotr Berman, Ian Parberry
Coauthorship diagram.

Citations for Erdös number 1:

  1. Miklos Ajtai, Paul Erdös, Janos Komlós, and Endre Szemerédi, "On Turán's theorem for sparse graphs", Combinatorica, Vol. 1, No. 4, pp. 313-317, 1981.
  2. Paul Erdös and Jeff Shallit, "New bounds on the length of finite Pierce and Engel series", Sém. Théor. Nombres Bordeaux (2) Vol. 3, no. 1, pp. 43-53, 1991.
  3. Paul Erdös and Carl Pomerance, "On the largest prime factors of n and n+1" Aequationes Math., Vol. 17 no. 2-3, pp. 311-321, 1978.
  4. Paul Erdös, Michael Saks, and Vera Sós,"Maximum induced trees in graphs", J. Combin. Theory Ser. B, Vol. 41, no. 1, 61-79, 1986.

Citations for Erdös number 2:

  1. Wolfgang Maass, Georg Schnitger, Endre Szemerédi, and György Turán, "Two tapes versus one for off-line Turing machines", Computational Complexity, Vol. 3 , no. 4, pp. 392-401, 1993.
  2. Piotr Berman, Avrim Blum, Amos Fiat, Howard Karloff, Adi Rosén, and Michael Saks, "Randomized robot navigation algorithms", Proceedings of the seventh annual ACM-SIAM symposium on Discrete algorithms, pp. 75-84, 1996.
  3. Carl Pomerance and Jonathon Sorenson, "Counting the integers factorable via cyclotomic methods", Journal of Algorithms, Vol. 19, pp. 250-265, 1995.
  4. Jeffrey Shallit and Jonathon Sorenson, "A binary algorithm for the Jacobi symbol", ACM SIGSAM Bulletin, Vol. 27, No. 1, Jan. 1993.

Citations for Erdös number 3:

  1. Piotr Berman, Ian Parberry, and Georg Schnitger, "A Note on the Complexity of Reliability in Neural Networks", IEEE Transactions on Neural Networks, Vol. 3, No. 6, pp. 998-1002, 1992.
  2. Jonathon Sorenson and Ian Parberry, "Two Fast Parallel Prime Number Sieves", Information and Computation, Vol. 114, No. 1, pp. 115-130, 1994.

Bacon Number

Your Bacon number is defined as follows. Kevin Bacon has Bacon number 0. If the smallest Bacon number of the actors in movies in which you have acted is i, then your Bacon number is i+1. My Bacon number is 3 because I was an extra in the film Necessary Roughness which starred the actor Scott Bakula, who has Bacon Number 2 (you can check this using the Oracle of Bacon).

Erdös-Bacon Number

Your Erdös-Bacon Number is the sum of your Erdös number and your Bacon number. Very few people have a finite Erdös-Bacon number; Wikipedia lists just 9 scientists (not including me) and 5 actors. Since my Erdös number and my Bacon number are both 3, my Erdös-Bacon number is 6, putting me alongside luminaries such as the cosmologist Carl Sagan, physicists Richard Feynman and Stephen Hawking, and the actor Danica McKellar. I am not worthy.

Other Numbers


Created August 5, 2015. Last updated November 27, 2022.