NDLI: Some simplified NP-complete problems

Content Provider	ACM Digital Library
Author	Johnson, D. S. Stockmeyer, L. Garey, M. R.
Abstract	It is widely believed that showing a problem to be NP-complete is tantamount to proving its computational intractability. In this paper we show that a number of NP-complete problems remain NP-complete even when their domains are substantially restricted. First we show the completeness of SIMPLE MAX CUT (MAX CUT with edge weights restricted to value 1), and, as a corollary, the completeness of the OPTIMAL LINEAR ARRANGEMENT problem. We then show that even if the domains of the NODE COVER and DIRECTED HAMILTONIAN PATH problems are restricted to planar graphs, the two problems remain NP-complete, and that these and other graph problems remain NP-complete even when their domains are restricted to graphs with low node degrees. For GRAPH 3-COLORABILITY, NODE COVER, and UNDIRECTED HAMILTONIAN CIRCUIT, we determine essentially the lowest possible upper bounds on node degree for which the problems remain NP-complete.
Starting Page	47
Ending Page	63
Page Count	17
File Format	PDF
DOI	10.1145/800119.803884
Language	English
Publisher	Association for Computing Machinery (ACM)
Publisher Date	1974-04-30
Publisher Place	New York
Access Restriction	Subscribed
Content Type	Text
Resource Type	Article

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Some simplified NP-complete problems