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Graph complexity
Authors:Pavel Pudlák  Vojtěch Rödl  Petr Savický
Affiliation:(1) Mathematical Institute CcaronSAV, Zcaronitná 25, 1 Praha, Czechoslovakia;(2) Department of Mathematics, FJFI CcaronVUT, Husova 5, 1 Praha, Czechoslovakia;(3) Faculty of Mathematics and Physics, Charles University, Malostranské nám. 25, 1 Praha, Czechoslovakia
Abstract:Summary We develop a complexity theory based on the concept of the graph instead of the Boolean function. We show its relation to the Boolean complexity and prove some lower bounds to the complexity of explicitly given graphs.The paper was written while the first author was visiting Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago
Keywords:
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