algebraic combinatorics en · NOUN
Etymology
From late 1970s.
Meanings
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(uncountable) A branch of mathematics in which techniques from abstract algebra are applied to problems in combinatorics, and vice versa.
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: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: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.
Translations (2)
fr combinatoire algébrique (branch of mathematics at the intersection of combinatorics and algebra) · it combinatoria algebrica (branch of mathematics at the intersection of combinatorics and algebra)