Arkadev Chattopadhyay

We develop a new technique of proving lower bounds for the randomized communication complexity of boolean functions in the multiparty 'Number on the Forehead' model. Our method is based on the notion of voting polynomial degree of functions and extends the Degree-Discrepancy Lemma in the recent work of Sherstov (STOC'07). ... more >>>

Marcos Villagra, Masaki Nakanishi, Shigeru Yamashita, Yasuhiko Nakashima

In this paper we study quantum nondeterminism in multiparty communication. There are three (possibly) different types of nondeterminism in quantum computation: i) strong, ii) weak with classical proofs, and iii) weak with quantum proofs. Here we focus on the first one. A strong quantum nondeterministic protocol accepts a correct input ... more >>>

Amit Chakrabarti, Sagar Kale

We develop a paradigm for studying multi-player deterministic communication,

based on a novel combinatorial concept that we call a {\em strong fooling

set}. Our paradigm leads to optimal lower bounds on the per-player

communication required for solving multi-player $\textsc{equality}$

problems in a private-message setting. This in turn gives a ...
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Alexander A. Sherstov

The communication complexity of $F$ with unbounded error is the limit of the $\epsilon$-error randomized complexity of $F$ as $\epsilon\to1/2.$ Communication complexity with weakly bounded error is defined similarly but with an additive penalty term that depends on $1/2-\epsilon$. Explicit functions are known whose two-party communication complexity with unbounded error ... more >>>

Ran Gelles, Yael Tauman Kalai

Multiparty interactive coding allows a network of $n$ parties to perform distributed computations when the communication channels suffer from noise. Previous results (Rajagopalan and Schulman, STOC '94) obtained a multiparty interactive coding protocol, resilient to random noise, with a blowup of $O(\log(\Delta+1))$ for networks whose topology has a maximal degree ... more >>>