On the Power of Algebraic Branching Programs of Width Two

  • Eric Allender
  • Fengming Wang
Part of the Lecture Notes in Computer Science book series (LNCS, volume 6755)


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.


Irreducible Polynomial Degree Sequence Boolean Circuit Arithmetic Formula Algebraic Complexity 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2011

Authors and Affiliations

  • Eric Allender
    • 1
  • Fengming Wang
    • 1
  1. 1.Department of Computer ScienceRutgers UniversityPiscatawayUSA

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