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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.

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The paper was written while the first author was visiting Department of Mathematics, Statistics and Computer Science, University of Illinois at Chicago

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Pudlák, P., Rödl, V. & Savický, P. Graph complexity. Acta Informatica 25, 515–535 (1988). https://doi.org/10.1007/BF00279952

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