Incremental polynomial time dualization of quadratic functions and a subclass of degree-k functions
Annals of Operations Research
Please cite this item using this persistent URLhttp://hdl.handle.net/11693/21846
We consider the problem of dualizing a Boolean function f represented by a DNF. In its most general form, this problem is commonly believed not to be solvable by a quasi-polynomial total time algorithm. We show that if the input DNF is quadratic or is a special degree-k DNF, then dualization turns out to be equivalent to hypergraph dualization in hypergraphs of bounded degree and hence it can be achieved in incremental polynomial time. © 2009 Springer Science+Business Media, LLC.
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