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Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes

In: Advances in Combinatorics

Author

Listed:
  • Andrew Baxter

    (Rutgers University (New Brunswick), Department of Mathematics)

  • Brian Nakamura

    (Rutgers University (New Brunswick), Department of Mathematics)

  • Doron Zeilberger

    (Rutgers University (New Brunswick), Department of Mathematics)

Abstract

This article, describes two complementary approaches to enumeration, the positive and the negative, each with its advantages and disadvantages. Both approaches are amenable to automation, and we apply it to the currently active subarea, initiated in 2003 by Sergi Elizalde and Marc Noy, of enumerating consecutive-Wilf classes (i.e. consecutive pattern-avoidance) in permutations.

Suggested Citation

  • Andrew Baxter & Brian Nakamura & Doron Zeilberger, 2013. "Automatic Generation of Theorems and Proofs on Enumerating Consecutive-Wilf Classes," Springer Books, in: Ilias S. Kotsireas & Eugene V. Zima (ed.), Advances in Combinatorics, edition 127, pages 121-138, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-30979-3_6
    DOI: 10.1007/978-3-642-30979-3_6
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