Amit Chakrabarti

We consider the $k$-layer pointer jumping problem in the one-way

multi-party number-on-the-forehead communication model. In this problem,

the input is a layered directed graph with each vertex having outdegree

$1$, shared amongst $k$ players: Player~$i$ knows all layers {\em

except} the $i$th. The players must communicate, in the order

$1,2,\ldots,k$, ...
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Venkatesan Guruswami, Krzysztof Onak

We prove $n^{1+\Omega(1/p)}/p^{O(1)}$ lower bounds for the space complexity of $p$-pass streaming algorithms solving the following problems on $n$-vertex graphs:

* testing if an undirected graph has a perfect matching (this implies lower bounds for computing a maximum matching or even just the maximum matching size),

* testing if two ... more >>>

Amir Yehudayoff

We prove an essentially sharp $\tilde\Omega(n/k)$ lower bound on the $k$-round distributional complexity of the $k$-step pointer chasing problem under the uniform distribution, when Bob speaks first. This is an improvement over Nisan and Wigderson's $\tilde \Omega(n/k^2)$ lower bound. A key part of the proof is using triangular discrimination instead ... more >>>