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REPORTS > KEYWORD > RAMSEY THEORY:
Reports tagged with Ramsey theory:
TR95-013 | 24th February 1995
Oleg Verbitsky

#### The Parallel Repetition Conjecture for Trees is True

The parallel repetition conjecture (PRC) of Feige and Lovasz says that the
error probability of a two prover one round interactive protocol repeated $n$
times in parallel is exponentially small in $n$.
We show that the PRC is true in the case when
the bipartite graph of dependence between ... more >>>

TR06-117 | 31st August 2006
Arkadev Chattopadhyay, Michal Koucky, Andreas Krebs, Mario Szegedy, Pascal Tesson, Denis Thérien

#### Languages with Bounded Multiparty Communication Complexity

We study languages with bounded communication complexity in the multiparty "input on the forehead" model with worst-case partition. In the two party case, it is known that such languages are exactly those that are recognized by programs over commutative monoids. This can be used to show that these languages can ... more >>>

TR11-155 | 22nd November 2011
Anil Ada, Arkadev Chattopadhyay, Omar Fawzi, Phuong Nguyen

#### The NOF Multiparty Communication Complexity of Composed Functions

We study the $k$-party `number on the forehead' communication complexity of composed functions $f \circ \vec{g}$, where $f:\{0,1\}^n \to \{\pm 1\}$, $\vec{g} = (g_1,\ldots,g_n)$, $g_i : \{0,1\}^k \to \{0,1\}$ and for $(x_1,\ldots,x_k) \in (\{0,1\}^n)^k$, $f \circ \vec{g}(x_1,\ldots,x_k) = f(\ldots,g_i(x_{1,i},\ldots,x_{k,i}), \ldots)$. When $\vec{g} = (g,g,\ldots,g)$ we denote $f \circ \vec{g}$ by ... more >>>

ISSN 1433-8092 | Imprint