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Frobenius's Degree Formula and Toda's Polynomials

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Abstract

We discuss a connection between the degree formula of Frobenius in group representation theory and a family of polynomials used by Toda in his proof of the containment PH⊆P #P. The connection gives us a construction and proof of a generalized family of Toda polynomials.

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Authors and Affiliations

  1. Department of Computer Science, SUNY at Buffalo, Buffalo, NY 14260, USA cai@cs.buffalo.edu, USA

    J.-Y. Cai

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  1. J.-Y. Cai
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Received October 1995, and in final form November 1996.

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Cai, JY. Frobenius's Degree Formula and Toda's Polynomials. Theory Comput. Systems 31, 67–75 (1998). https://doi.org/10.1007/s002240000078

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  • DOI: https://doi.org/10.1007/s002240000078

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