algebraic combinatorics

noun

A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.

Meanings

nounalgebraic combinatorics (uncountable)
  1. uncountablealgebraA branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.

    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.

    1993, I. A. Faradžev, A. A. Ivanov, M. Klin, A. J. Woldar, editors, Investigations in Algebraic Theory of Combinatorial Objects, Kluwer Academic, page vii
    2 more examples

    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 ax+by.

    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.

    2013, Richard P. Stanley, Algebraic Combinatorics, 2nd edition, Springer, page xi

Origin

Translations

French combinatoire algébrique
  • combinatoire algébriquebranch of mathematics at the intersection of combinatorics and algebra
Italian combinatoria algebrica
  • combinatoria algebricabranch of mathematics at the intersection of combinatorics and algebra
Cite this entry
APA

algebraic combinatorics. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/algebraic%20combinatorics

MLA

“algebraic combinatorics.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/algebraic%20combinatorics. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “algebraic combinatorics,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/algebraic%20combinatorics.

Source: algebraic combinatorics on Wiktionary, CC BY-SA 4.0.