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Journal Article

Monotone Switching Circuits and Boolean Matrix Product

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Mehlhorn,  Kurt
Algorithms and Complexity, MPI for Informatics, Max Planck Society;

Galil,  Zvi
Max Planck Society;

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Citation

Mehlhorn, K., & Galil, Z. (1976). Monotone Switching Circuits and Boolean Matrix Product. Computing, 16, 99-111.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0014-AFB1-1
Abstract
We explore the concept of local transformations of monotone switching circuits, i.e. what kind of local changes in a network leave the input/output behavior invariant. We obtain several general theorems in this direction. We apply these results to boolean matrix product and prove that the school-method for matrix multiplication yields the unique monotone circuit.