Relay-Version: version B 2.10 5/3/83; site utzoo.UUCP Path: utzoo!mnetor!uunet!husc6!bloom-beacon!gatech!hubcap!steve From: steve@hubcap.UUCP ("Steve" Stevenson) Newsgroups: comp.ai,sci.math.symbolic Subject: Re: P = NP subclasses Message-ID: <455@hubcap.UUCP> Date: Tue, 15-Sep-87 08:11:07 EDT Article-I.D.: hubcap.455 Posted: Tue Sep 15 08:11:07 1987 Date-Received: Thu, 17-Sep-87 02:09:35 EDT References: <1035@aurora.UUCP> Organization: Clemson University, Clemson, SC Lines: 13 Summary: Looking for subclass to P=NP Xref: mnetor comp.ai:771 sci.math.symbolic:153 I once heard a commment that most instances of "NP-complete" problems encountered in practice do not exhibit the pathological behavior of the exponential growth function. Take your favorite characterization of the NP-complete problem. Questions: What is the largest subclass of instances (decidable or not) which does not exhibit the exponetial? What is the largest Turing-decidable subclass? -- Steve (really "D. E.") Stevenson steve@hubcap.clemson.edu Department of Computer Science, (803)656-5880.mabell Clemson University, Clemson, SC 29634-1906