reduction - Prove NP-completeness of CLIQUE-OR-INDEPENDENT-SET -


first of all, want mention homework. however, solve problem can use literature want.

even though think problem clear name, give description: "for given undirected graph g , given integer k, g contain totally connected (clique) subgraph of size k or totally disconnected subgraph (independent set) of size k."

i know polynomial reductions 3-sat clique , 3-sat independent-set. (http://mlnotes.com/2013/04/29/npc.html) however, have problem 1 because cannot combine 2 reductions. tried reduction clique clique-or-independent-set without success.

so appreciate hints!

thanks in advance.

i found out reduction problem independent-set clique-or-independent-set. need add n isolated vertices graph g (which instance of independent-set , has n vertices). let call newly created graph g' (instance of clique-or-independent-set). not hard prove g has k independent-set iff g' has n+k independent-set of clique (since, construction, cannot have n+kclique).


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