Path: utzoo!utgpu!water!watmath!clyde!rutgers!sdcsvax!ucbvax!SCORE.STANFORD.EDU!PAPA From: PAPA@SCORE.STANFORD.EDU ("C. Papadimitriou") Newsgroups: comp.theory Subject: Re: Complexity of optimal addition chains Message-ID: <8712242357.AA22233@jade.berkeley.edu> Date: 24 Dec 87 04:35:03 GMT Sender: daemon@ucbvax.BERKELEY.EDU Reply-To: TheoryNet List , "C. Papadimitriou" Distribution: inet Organization: The ARPA Internet Lines: 8 Finding the best addition chain has been conjectured to be NP-complete. As I recall, Ravi Sethi and co-authors have shown that finding the best addition chain for several numbers (to be computed together) is NP-complete. ---CHP [The reference is: Downey, Leong, and Sethi, "Computing sequences with addtion chains," SIAM J. Computing, 10, 3 (August 1981) 638-646. ]