Christoph Meinel, Stephan Waack

We prove that the modular communication complexity of the

undirected graph connectivity problem UCONN equals Theta(n),

in contrast to the well-known Theta(n*log n) bound in the

deterministic case, and to the Omega(n*loglog n) lower bound

in the nondeterministic case, recently proved by ...
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Christoph Meinel, Stephan Waack

The ``log rank'' conjecture consists in the question how exact

the deterministic communication complexity of a problem can be

determinied in terms of algebraic invarants of the communication

matrix of this problem. In the following, we answer this question

in the context of modular communication complexity. ...
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