Robert Bailey's Erdős Number

Robert Bailey's Erdős Number

My Erdős number is 2, via the following route:

Robert F. Bailey and Peter J. Cameron, On the single-orbit conjecture for uncoverings-by-bases, J. Group Theory 11 (2008), 845–850.
Peter J. Cameron and Paul Erdős, On the number of sets of integers with various properties, Number Theory (ed. R. A. Mollin), 61-79, de Gruyter, Berlin, 1990.

There are also some interesting disjoint paths of length 4. For example:

Robert F. Bailey and John N. Bray, Decoding the Mathieu group M₁₂, Adv. Math. Commun. 1 (2007), 477–487.
John N. Bray and Robert A. Wilson, On the orders of automorphism groups of finite groups II, J. Group Theory 9 (2006), 537–545.
John H. Conway, Robert T. Curtis, Simon P. Norton, Richard A. Parker and Robert A. Wilson, ATLAS of Finite Groups, Clarendon Press, Oxford, 1985.
John H. Conway, Hallard T. Croft, Paul Erdős and M. J. T. Guy, On the distribution of values of angles determined by coplanar points, J. London Math. Soc. (2) 19 (1979), 137–143.

(There are other papers giving length-two paths from Bray to Conway, all of them involving Curtis or Wilson.)

Robert F. Bailey and Brett Stevens, Hamiltonian decompositions of complete k-uniform hypergraphs, Discrete Math. 310 (2010), 3088–3095.
Brett Stevens, Lucia Moura and Eric Mendelsohn, Lower bounds for transversal covers, Des. Codes Cryptogr. 15 (1998), 279–299.
Charles C. Lindner, Eric Mendelsohn and Alexander Rosa, On the number of 1-factorizations of the complete graph, J. Combinatorial Theory Ser. B 20 (1976), 265–282.
Juráj Bosak, Paul Erdős and Alexander Rosa, Decompositions of complete graphs into factors with diameter two, Mat. Časopis Sloven. Akad. Vied 21 (1971), 14–28.

Robert F. Bailey and Thomas Prellberg, Decoding generalised hyperoctahedral groups and asymptotic analysis of correctible error patterns, Contrib. Discrete Math., to appear.
Anthony J. Guttmann, Thomas Prellberg and Aleks Owczarek, On the symmetry classes of planar self-avoiding walks, J. Phys. A 26 (1993), 6615–6623.
George Szekeres and Anthony J. Guttmann, Spiral self-avoiding walks on the triangular lattice, J. Phys. A 20 (1987), 481–493.
Paul Erdős and George Szekeres, A combinatorial problem in geometry, Compositio Math. 2 (1935), 463–470.

(Szekeres was Erdős' first co-author.)