My Erdös-Bacon number

My Erdös number is (at most) 5, via Jaume Bertranpetit - Laxmi Parida - Vaughan R. Pratt - Foong Frances Yao - Paul Erdös.

My Bacon number is (at most) 3, via Vahe Gabuchian - Chanel Ryan - Kevin Bacon.

Do let me know if you know of any alternative (and, especially, shorter) paths.