Stasys Jukna

We consider a general model of monotone circuits, which

we call d-local. In these circuits we allow as gates:

(i) arbitrary monotone Boolean functions whose minterms or

maxterms (or both) have length at most <i>d</i>, and

(ii) arbitrary real-valued non-decreasing functions on ...
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Oded Goldreich

For a constant integer $t$, we consider the problem of counting the number of $t$-cliques $\bmod 2$ in a given graph.

We show that this problem is not easier than determining whether a given graph contains a $t$-clique, and present a simple worst-case to average-case reduction for it. The ...
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