The papers in this volume were selected for presentation at the 10th International Computing and Combinatorics Conference (COCOON 2004), held on August 17–20, 2004 in Jeju Island, Korea. Previous meetings were held in Xi’an (1995), Hong Kong (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), Ireland (1), Israel (4), Italy (2), Japan (17), Korea (23), Mexico (3), New Zealand (1), Poland(1), Russia (1), Singapore (5), Sweden (2), Switzerland (3), Taiwan (2), the UK (1), and the USA (9). Each paper was evaluated by at least three program committee members, with the assistance of referees, as indicated by the referee list found in these proceedings. There were many more acceptable papers than there was space available in the conference schedule, and the program committee’s task was extremely difficult. In addition to selected papers, the conference also included three invited presentations by Lars Arge, Jeong Han Kim, and Kokichi Sugihara. We thank all program committee members and their referees for their - cellent work, especially given the demanding time constraints; they gave the conference its distinctive character. We thank all who submitted papers for c- sideration: they all contributed to the high quality of the conference. Finally, we thank all the people who worked hard to put in place the logistical arrangements of the conference — our colleagues and our graduate students. It is their hard work that made the conference possible and enjoyable.