[ut.theory] THEORY NET: Optimal cost addition chains

arvind@utcsri.UUCP (Arvind Gupta) (01/06/88)

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Date:         8 Dec 1987 15:23:37-EST (Tuesday)
From: "Victor S. Miller" <VICTOR@yktvmz.bitnet>
Subject:      Optimal cost addition chains

Boy am I dense!  After sending out my request I realized that it is
true (almost trivially):  the optimal cost chain is of length < 2*lg n,
so just enumerate them all.  Of course, a more interesting problem arises
if n is written in binary,  does anyone know anything about that ( other
than what's in Knuth v 2)?  In particular, is it NP complete (maybe)?