Algebraic combinatorics: Difference between revisions

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{{Short description|Area of combinatorics}}

{{for|the academic journal|Algebraic Combinatorics (journal)}}

[[File:fano plane.svg|thumb|The Fano [[matroid]], derived from the [[Fano plane]]. Matroids are one of many areaskinds of objects studied in algebraic combinatorics.]]

{{use dmy dates|date=January 2022}}

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* [[Algebraic graph theory]]

* [[Combinatorial commutative algebra]]

* [[Polyhedral combinatorics]]

* [[Algebraic Combinatorics (journal)|''Algebraic Combinatorics'' (journal)]]

* ''[[Journal of Algebraic Combinatorics]]''

* [[International Conference on Formal Power Series and Algebraic Combinatorics]]

* [[Polyhedral combinatorics]]

== Citations ==

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| url = http://library.msri.org/books/Book38/index.html

| isbn = 052177087-4

| ref = none

}}

*{{Cite book| title = Algebraic combinatorics on convex polytopes

| last = Hibi | first = Takayuki | year = 1992

| publisher = Carslaw Publications | ___location = Glebe, Australia |isbn=1875399046 |oclc=29023080

| ref = none

}}

*{{Cite journal | title = Cohen-Macaulay rings, combinatorics, and simplicial complexes

| last = Hochster | first = Melvin

| author-link = Melvin Hochster

| journal = Lecture Notes in Pure and Applied Mathematics

| publisher = Dekker | ___location = New York

| year = 1975 | volume = 26 | pages = 171–223

| ref = none

}}

*{{cite conference |author-link=Melvin Hochster |first=Melvin |last=Hochster |title=Cohen–Macaulay rings, combinatorics, and simplicial complexes |book-title=Ring Theory II: Proceedings of the Second Oklahoma Conference |publisher=Dekker |series=Lecture Notes in Pure and Applied Mathematics |volume=26 |date=1977 |isbn=0-8247-6575-3 |pages=171–223 |oclc=610144046 |url=https://archive.org/details/ringtheoryiiproc0026ring |zbl=0351.13009}}

*{{Cite book| title = Combinatorial commutative algebra

| last1 = Miller | first1 = Ezra

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| author2-link = Bernd Sturmfels

| year = 2005

| publisher = Springer-Verlag | ___location = New York

| volume = 227 | series = [[Graduate Texts in Mathematics]]

| isbn = 0-387-22356-8 |zbl=1066.13001|url={{GBurl|OYBCAAAAQBAJ|pg=PR11}}

| ref = none

}}

*{{Cite book| title = Combinatorics and commutative algebra | edition = Second2nd

| last = Stanley | first = Richard P. | year = 1996

| author-link = Richard P. Stanley

| publisher = Birkhäuser | ___location = Boston

| volume = 41 | series = Progress in Mathematics

| isbn = 0-8176-3836-9 |zbl=0838.13008 |url={{GBurl|tZVCAAAAQBAJ|pg=PR5}}

| ref = none

}}

*{{cite book| title = Gröbner bases and convex polytopes

| last = Sturmfels | first = Bernd | year = 1996

| author-link = Bernd Sturmfels

| publisher = [[American Mathematical Society]] | ___location = Providence, RI

| volume = 8 | series = University Lecture Series

| url = https://archive.org/details/grobnerbasesconv0000stur | url-access = registration | via = [[Internet Archive]]

| isbn = 0-8218-0487-1 |oclc=907364245 |zbl=0856.13020

| ref = none

}}

*{{Cite book| chapter = Enumerative and Algebraic Combinatorics

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| publisher = Princeton University Press

| chapter-url = http://www.math.rutgers.edu/~zeilberg/mamarim/mamarimPDF/enuPCM.pdf

| ref = none

}}

{{refend}}