algebraic combinatorics

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English

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Etymology

From late 1970s.

Noun

algebraic combinatorics (uncountable)

  1. (algebra, combinatorics) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.
    • 1982, Trevor Evans, Finite Representations of Two-variable Identities, E. Mendelsohn, Algebraic and Geometric Combinatorics, North-Holland, page 135,
      It is part of the folklore of algebraic combinatorics that “most' two-variable groupoid identities have non-trivial models in finite fields, the groupoid operation being represented by a linear function .
    • 1993, I. A. Faradžev, A. A. Ivanov, M. Klin, A. J. Woldar, editors, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer Academic, page vii:
      This volume arose through the initiative of Kluwer Academic Publishers in an attempt to introduce some areas of research in algebraic combinatorics which originally appeared in Russian to a wider mathematical community.
    • 2013, Richard P. Stanley, Algebraic Combinatorics, 2nd edition, Springer, page xi:
      This book is intended primarily as a one-semester undergraduate text for a course in algebraic combinatorics. […] Algebraic combinatorics is a huge subject, so some selection process was necessary to obtain the present text.

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