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Paper:

TR11-083 | 22nd May 2011 04:22

On the power of algebraic branching programs of width two

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TR11-083
Authors: Eric Allender, Fengming Wang
Publication: 22nd May 2011 04:22
Downloads: 3500
Keywords: 


Abstract:

We show that there are families of polynomials having small depth-two arithmetic circuits that cannot be expressed by algebraic branching programs of width two. This clarifies the complexity of the problem of computing the product of a sequence of two-by-two matrices, which arises in several
settings.



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