Action of the mapping class group on a complex of curves and a   presentation for the mapping class group of a surface
  S. Gervais gave a finite presentation for the mapping class group of a surface (math.GT/9811162). We show this presentation without using Wajnryb's simple presentation. We use a complex of curves defined by Harvey, in place of Hatcher and Thurston's complex. 
Susumu Hirose