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The communication complexity of pointer chasing. Applications of entropy and sampling

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3 Author(s)
Ponzio, S.J. ; Integrated Objects, Boston, MA, USA ; Radhakrishnan, J. ; Venkatesh, S.

The following pointer chasing problem plays a central role in the study of bounded round communication complexity. There are two players A and B. There are two sets of vertices VA and VB of size n each. Player A is given a function fA: VA→VB and player B is given a function fB: VB→VA. In the problem g k the players have to determine the vertex reached by applying fA and fB alternately, k times starting with a fixed vertex v0∈VA. That is, in g1, they must determine fA(v0), in g 2 they must determine fB(fA(v0 )), in g3 they must determine fA(fB (fA(v0))), and so on

Published in:

Computational Complexity, 1999. Proceedings. Fourteenth Annual IEEE Conference on

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