algebraic combinatoricsとは 意味・読み方・使い方

名詞

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 ${\displaystyle ax+by}$.

   • 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, Springer, 2nd Edition, 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.