For a biography of Paul Erdös, the most prolific mathematician of all time, click here. To learn about the Erdös number, I highly recommend The Erdös Number Project. To try to trace collaborations to Erdös, try the AMS's MathSciNet tool. The photo of Erdös is taken from the American Mathematical Society website.

erdos picture

Er(4), 4-link connection to Paul Erdös.

Entringer, R. C.; Erdös, Paul, 1972: On the number of unique subgraphs of a graph. J. Combinatorial Theory Ser. B, 13, 112--115.

Douthett, Jack; Entringer, Roger, Mullhaupt, Andrew, 1992: Musical scale construction: the continued fraction compromise. (English. English summary) Utilitas Math. 42, 97--113.

Ghil, M., Mullhaupt, A., 1985: Boolean delay equations. II. Periodic and aperiodic solutions. J. Statist. Phys., 41 (1-2), 125--173.

Zhang, Y., B. Stevens, B. Medeiros and M. Ghil, 2009: Low cloud fraction, lower-tropospheric stability and large-scale divergence. Journal of Climate, DOI: 10.1175/2009JCLI2891.1

Er(5), 5-link connections to Paul Erdös.

I. Berkeley

Erdös, Paul; Hickerson, Dean; Pach, János: A problem of Leo Moser about repeated distances on the sphere.
Amer. Math. Monthly 96 (1989), no. 7, 569--575.

Andrews, George E., Dyson, Freeman J., Hickerson, Dean: Partitions and indefinite quadratic forms. Invent. Math. 91 (1988), no. 3, 391--407.

Happer W, MacDonald GJ, Max CE, Dyson, FJ: Atmospheric-Turbulence Compensation By Resonant Optical Backscattering From The Sodium Layer In The Upper-Atmosphere. J OPT SOC AM A 11 (1): 263-276 JAN 1994

Muller RA, MacDonald GJ: Glacial cycles and astronomical forcing. SCIENCE 277 (5323): 215-218 JUL 11 1997

Karner DB, Levine J, Medeiros BP, Muller RA
Constructing a stacked benthic delta O-18 record
PALEOCEANOGRAPHY 17 (3): art. no. 1030 JUL-AUG 2002

II. UCLA

Entringer, R. C.; Erdös, Paul, 1972: On the number of unique subgraphs of a graph. J. Combinatorial Theory Ser. B, 13, 112--115.

Douthett, Jack; Entringer, Roger, Mullhaupt, Andrew, 1992: Musical scale construction: the continued fraction compromise. (English. English summary) Utilitas Math. 42, 97--113.

Ghil, M., Mullhaupt, A., 1985: Boolean delay equations. II. Periodic and aperiodic solutions. J. Statist. Phys., 41 (1-2), 125--173.

Zhang, Yunyan, Bjorn Stevens, and Michael Ghil, 2005: On the Diurnal Cycle and Susceptibility to Aerosol Concentration in a Stratocumulus-Topped Mixed Layer. Quart. J. Roy. Meteorol. Soc., 131, 1567-1584.

Medeiros, Brian and Alex Hall and Bjorn Stevens, 2005: What controls the mean depth of the PBL? J. Climate, 18, 2877-2892.


III. NCAR

Medeiros → David L. Williamson → Paul N. Swarztrauber → David H. Bailey → Carl Pomerance → Paul Erdős

  1. Williamson, David L.; Drake, John B.; Hack, James J.; Jakob, Rüdiger; Swarztrauber, Paul N. A standard test set for numerical approximations to the shallow water equations in spherical geometry. J. Comput. Phys. 102 (1992), no. 1, 211–224.
  2. Bailey, David H.; Swarztrauber, Paul N. The fractional Fourier transform and applications. SIAM Rev. 33 (1991), no. 3, 389–404.
  3. Bailey, David H.; Borwein, Jonathan M.; Crandall, Richard E.; Pomerance, Carl On the binary expansions of algebraic numbers. J. Théor. Nombres Bordeaux 16 (2004), no. 3, 487–518.
  4. Erdős, Paul; Pomerance, Carl On the largest prime factors of $n$ and $n+1$. Aequationes Math. 17 (1978), no. 2-3, 311–321.

There is also another chain: Medeiros → Peter Hjort Lauritzen (or D.L. Williamson) → Christiane Jablonowski → Quentin F. Stout → Frank Harary → Paul Erdős