The professor with the Bacon number needs to publish a peer-reviewed paper with someone that already has an Erdős number. The other one needs to appear in a film with someone with a Bacon number. Then they'll both have a Bacon-Erdős number. The easiest thing, therefore, is for them to publish together, and do a short film about it. At that point, they'll each have each other's current number +1, and thus the same Bacon-Erdős number
Grey Wolf