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Electronic Colloquium on Computational Complexity

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All reports by Author Martin Dietzfelbinger:

TR96-063 | 6th November 1996
Martin Dietzfelbinger

The Linear-Array Problem in Communication Complexity Resolved

Tiwari (1987) considered the following scenario: k+1 processors P_0,...,P_k,
connected by k links to form a linear array, compute a function f(x,y), for
inputs (x,y) from a finite domain X x Y, where x is only known to P_0 and
y is only known to P_k; the intermediate ... more >>>

TR96-052 | 2nd October 1996
Martin Dietzfelbinger

Gossiping and Broadcasting versus Computing Functions in Networks

The fundamental assumption in the classical theory of
dissemination of information in interconnection networks
(gossiping and broadcasting) is that atomic pieces of information
are communicated. We show that, under suitable assumptions about
the way processors may communicate, computing an n-ary function
that has a "critical input" (e.g., ... more >>>

TR95-004 | 1st January 1995
Martin Dietzfelbinger, Miroslaw Kutylowski, RĂ¼diger Reischuk

Feasible Time-Optimal Algorithms for Boolean Functions on Exclusive-Write PRAMs

It was shown some years ago that the computation time for many important
Boolean functions of n arguments on concurrent-read exclusive-write
parallel random-access machines
(CREW PRAMs) of unlimited size is at least f(n) = 0.72 log n.
On the other hand, it ... more >>>

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