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Next: Restriction of NPC Problems Up: NON DETERMINISTIC ALGORITHM Previous: Polynomial Reduction

Cook's Theorem

SAT tex2html_wrap_inline349 OR
If SAT tex2html_wrap_inline351 OR
for every problem tex2html_wrap_inline353 OR
SAT tex2html_wrap_inline282

It can be shown that
i) graph coloring tex2html_wrap_inline278 NP
ii) SAT tex2html_wrap_inline340 coloring
tex2html_wrap_inline285 graph coloring tex2html_wrap_inline278 NPC

Similarly
K-Clique, HC, TSP etc. are also NPC.

Def. NP-hard:
tex2html_wrap_inline314 is NP-hard if for all problem tex2html_wrap_inline378



Sushil Prasad
Thu May 13 13:03:52 EDT 1999