If an optimal (even intractable) protocol achieves utility α in k bits, a polynomial-time algorithm can find a protocol achieving α−ε using 2^{O(k)}/ε^2 bits, and this is tight up to a constant in the exponent.
Communication Complexity is NP-hard
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
In the paper where he first defined Communication Complexity, Yao asks: \emph{Is computing $CC(f)$ (the 2-way communication complexity of a given function $f$) NP-complete?} The problem of deciding whether $CC(f) \le k$, when given the communication matrix for $f$ and a number $k$, is easily seen to be in NP. Kushilevitz and Weinreb have shown that this problem is cryptographically hard. Here we show it is NP-hard.
fields
cs.GT 1years
2026 1verdicts
CONDITIONAL 1representative citing papers
citing papers explorer
-
Computationally Efficient Collaborative Communication Via Regularity-Based Coarsening
If an optimal (even intractable) protocol achieves utility α in k bits, a polynomial-time algorithm can find a protocol achieving α−ε using 2^{O(k)}/ε^2 bits, and this is tight up to a constant in the exponent.