Thepapersinthisvolumewereselectedforpresentationatthe10thInternational Computing and Combinatorics Conference (COCOON 2004), held on August 17 20, 2004 in Jeju Island, Korea. Previous meetings were held in Xi an (1995), HongKong(1996), Shanghai(1997), Taipei(1998), Tokyo(1999), Sydney(2000), Guilin (2001), Singapore (2002), and Big Sky (2003). In response to the call for papers, 109 extended abstracts were submitted from 23 countries, of which 46 were accepted. The submitted papers were from Belgium (1), Canada (5), China (6), France (1), Germany (6), Hong Kong (8), India (6), Iran (1),...