Editing Matroid (section)

== References ==
{{refbegin|colwidth=25em|small=yes}}

* {{cite journal
 | last1 = Bruhn    | first1 = Henning       | last2 = Diestel    | first2 = Reinhard
 | last3 = Kriesell | first3 = Matthias      | last4 = Pendavingh | first4 = Rudi
 | last5 = Wollan   | first5 = Paul
 | year = 2013
 | title = Axioms for infinite matroids
 | journal = [[Advances in Mathematics]]
 | volume = 239  | pages = 18–46
 | doi = 10.1016/j.aim.2013.01.011 | doi-access = free
 | arxiv = 1003.3919  | mr = 3045140  | s2cid = 10436077
 }} 
* {{cite book
 |last1=Bryant  |first1=Victor
 |last2=Perfect |first2=Hazel   |author2-link=Hazel Perfect
 |year=1980
 |title=Independence Theory in Combinatorics
 |title-link=Independence Theory in Combinatorics
 |publisher=Chapman and Hall
 |location=London, UK & New York, NY
 |isbn=978-0-412-22430-0
}} 
* {{cite journal
 |last=Brylawski |first=Thomas H.  |author-link=Thomas H. Brylawski
 |year=1972
 |title=A decomposition for combinatorial geometries
 |journal=[[Transactions of the American Mathematical Society]]
 |volume=171  |pages=235–282
 |doi=10.2307/1996381 |doi-access=free
 |jstor=1996381
}}
* {{cite journal
 |last=Crapo |first=Henry H.  |author-link=Henry Crapo (mathematician)
 |year=1969
 |title=The Tutte polynomial
 |journal=[[Aequationes Mathematicae]]
 |volume=3  |issue=3  |pages=211–229
 |doi=10.1007/BF01817442  |s2cid=119602825
}}
* {{cite book
 |last1=Crapo |first1=Henry H.     |author-link1=Henry Crapo (mathematician)
 |last2=Rota  |first2=Gian-Carlo  |author2-link=Gian-Carlo Rota
 |year=1970
 |title=On the Foundations of Combinatorial Theory: Combinatorial geometries
 |publisher=M.I.T. Press
 |location=Cambridge, MA
 |isbn=978-0-262-53016-3 |mr=0290980
 |url=https://archive.org/details/onfoundationsofc00crap
 |via=[[Internet Archive]] (archive.org)
}}
* {{cite conference
 |last=Edmonds |first=Jack  |author-link=Jack Edmonds
 |date=5–9 March 2001
 |title=Submodular functions, matroids, and certain polyhedra
 |editor1-last=Jünger  |editor1-first=Michael
 |editor2-last=Reinelt |editor2-first=Gerhard
 |editor3-last=Rinaldi |editor3-first=Giovanni
 |publication-date=2003
 |book-title=Combinatorial Optimization — Eureka, You Shrink!: Papers dedicated to Jack Edmonds
 |conference=5th International Workshop
 |place=Aussois, FR |edition=revised papers
 |series=Lecture Notes in Computer Science |volume=2570
 |pages=11–26
 |publisher=Berlin, Heidelberg: Springer |lang=en
 |doi=10.1007/3-540-36478-1_2 |isbn=978-3-540-36478-8|citeseerx=10.1.1.454.4060
 }}
*{{cite journal
 | last1 = Geelen | first1 = J. F.
 | last2 = Gerards | first2 = A. M. H.
 | last3 = Kapoor | first3 = A.
 | doi = 10.1006/jctb.2000.1963
 | issue = 2
 | journal = Journal of Combinatorial Theory
 | mr = 1769191
 | pages = 247–299
 | series = Series B
 | title = The excluded minors for GF(4)-representable matroids
 | volume = 79
 | year = 2000}}
* {{cite book
 |last1=Geelen  |first1=Jim    |author1-link=Jim Geelen
 |last2=Gerards |first2=A.M.H.
 |last3=Whittle |first3=Geoff 
 |year=2007
 |contribution=Towards a matroid-minor structure theory
 |editor1=Grimmett, Geoffrey   |display-editors=etal
 |title=Combinatorics, Complexity, and Chance: A tribute to Dominic Welsh
 |series=Oxford Lecture Series in Mathematics and its Applications |volume=34
 |pages=72–82
 |publisher=Oxford University Press
 |location=Oxford, UK
}}
* {{cite journal
 |last=Gerards |first=A.M.H.
 |year=1989
 |title=A short proof of Tutte's characterization of totally unimodular matrices
 |journal=[[Linear Algebra and Its Applications]]
 |volume=114-115 |pages=207–212
 |doi=10.1016/0024-3795(89)90461-8  |doi-access=free
}}
* {{cite journal
 |last1=Kahn |first1=Jeff
 |last2=Kung |first2=Joseph P.S.
 |year=1982
 |title=Varieties of combinatorial geometries
 |journal=[[Transactions of the American Mathematical Society]]
 |volume=271  |issue=2  |pages=485–499
 |doi=10.2307/1998894  |doi-access=free
 |jstor=1998894
}}
* {{cite book
 |last1=Kingan |first1=Robert
 |last2=Kingan |first2=Sandra
 |year=2005
 |contribution=A software system for matroids
 |title=Graphs and Discovery
 |series=DIMACS Series in Discrete Mathematics and Theoretical Computer Science
 |pages=287–296
}}
* {{cite report
 |last1=Kashyap  |first1=Navin
 |last2=Soljanin |first2=Emina
 |last3=Vontobel |first3=Pascal
 |year=2009
 |title=Applications of matroid theory and combinatorial optimization to information and coding theory
 |url=https://www.birs.ca/workshops/2009/09w5103/report09w5103.pdf
 |via=www.birs.ca  |access-date=4 October 2014
}}
* {{cite book
 |editor-last=Kung |editor-first=Joseph P.S.
 |year=1986
 |title=A Source Book in Matroid Theory
 |publisher=Birkhäuser
 |location=Boston, MA
 |isbn=978-0-8176-3173-4
 |mr=0890330  |doi=10.1007/978-1-4684-9199-9
 |url=https://archive.org/details/sourcebookinmatr0000kung
 |via=[[Internet Archive]] (archive.org)
}}
* {{cite journal
 |last=MacLane |first=Saunders |author-link=Saunders Mac Lane
 |year=1936
 |title=Some interpretations of abstract linear dependence in terms of projective geometry
 |journal=[[American Journal of Mathematics]]
 |volume=58  |issue=1  |pages=236–240
 |doi=10.2307/2371070  |jstor=2371070
}}
* {{cite journal
 |last=Minty |first=George J.
 |year=1966
 |title=On the axiomatic foundations of the theories of directed linear graphs, electrical networks and network-programming
 |journal=[[Journal of Mathematics and Mechanics]]
 |volume=15  |pages=485–520
 |mr=0188102
}}
* {{cite journal
 |last1=Neel |first1=David L.
 |last2=Neudauer |first2=Nancy A. |author2-link=Nancy Neudauer
 |year=2009
 |title=Matroids you have known
 |journal=[[Mathematics Magazine]]
 |volume=82  |issue=1  |pages=26–41
 |doi=10.4169/193009809x469020
 |url=http://www.maa.org/sites/default/files/pdf/shortcourse/2011/matroidsknown.pdf
 |access-date=4 October 2014 |via=[[Mathematical Association of America]] (maa.org)
}}
* {{cite book
 |editor1-first=Hirokazu |editor1-last=Nishimura
 |editor2-first=Susumu   |editor2-last=Kuroda
 |year=2009
 |title=A lost mathematician, Takeo Nakasawa: The forgotten father of matroid theory
 |publisher= Birkhäuser Verlag |place=Basel, CH
 |isbn=978-3-7643-8572-9
 |mr=2516551 |zbl=1163.01001
 |doi=10.1007/978-3-7643-8573-6
}}
* {{cite book
 |last=Oxley |first=James  |author-link=James Oxley
 |year=1992
 |title=Matroid Theory
 |publisher=Oxford University Press
 |location=Oxford, UK
 |isbn=978-0-19-853563-8
 |mr=1207587 |zbl=0784.05002
}}
* {{cite book
 |last=Recski |first=András
 |year=1989
 |title=Matroid Theory and its Applications in Electric Network Theory and in Statics
 |series=Algorithms and Combinatorics  |volume=6
 |publisher=Springer-Verlag and Akademiai Kiado
 |location=Berlin, DE & Budapest, HU
 |isbn=978-3-540-15285-9
 |doi=10.1007/978-3-662-22143-3
 |s2cid=117772439  |mr=1027839
 |url=https://archive.org/details/matroidtheoryits0000recs
 |url-access=registration |via=[[Internet Archive]] (archive.org)
}} 
* {{eom
 |last=Sapozhenko |first=A.A.
 |id=M/m062870
}}
* {{cite journal
 |last=Seymour |first=Paul D. |author-link=Paul Seymour (mathematician)
 |year=1980
 |title=Decomposition of regular matroids
 |journal=[[Journal of Combinatorial Theory]]
 | series=Series&nbsp;B  |volume=28  |issue=3 |pages=305–359
 |doi=10.1016/0095-8956(80)90075-1 |doi-access=free
 |hdl=10338.dmlcz/101946 |hdl-access=free
 |zbl=0443.05027
}}
* {{cite book
 |last=Truemper |first=Klaus
 |year=1992
 |title=Matroid Decomposition
 |publisher=Academic Press
 |location=Boston, MA
 |isbn=978-0-12-701225-4
 |mr=1170126
 |url=http://www.emis.de/monographs/md/index.html
 |via=emis.de
}}
* {{cite journal
 |last=Tutte |first=W.T. |author-link=W. T. Tutte
 |year=1959
 |title=Matroids and graphs
 |journal=[[Transactions of the American Mathematical Society]]
 |volume=90  |issue=3  |pages=527–552
 |doi=10.2307/1993185 |doi-access=free
 |mr=0101527  |jstor=1993185
}}
* {{cite journal
 |last=Tutte |first=W.T. |author-link=W. T. Tutte
 |year=1965
 |title=Lectures on matroids
 |journal=Journal of Research of the National Bureau of Standards
 |series=Section&nbsp;B  |volume=69  |pages=1–47
}}
* {{cite book
 | last=Tutte | first=W.T. | author-link=W. T. Tutte
 | year=1971 
 | title=Introduction to the Theory of Matroids
 | series=Modern Analytic and Computational Methods in Science and Mathematics | volume=37
 | location=New York, NY
 | publisher=American Elsevier Publishing Company
 | zbl=0231.05027
}}
* {{cite journal
 |last=Vámos |first=Peter
 |year=1978
 |title=The missing axiom of matroid theory is lost forever
 |journal=[[Journal of the London Mathematical Society]]
 |volume=18  |issue=3  |pages=403–408
 |doi=10.1112/jlms/s2-18.3.403
}}
* {{cite book
 |last=van der Waerden |first=B.L. |author-link=Bartel Leendert van der Waerden
 |year=1937
 |title=Moderne Algebra
}}
* {{cite book
 |last=Welsh |first=D.J.A.
 |year=1976
 |title=Matroid Theory
 |series=L.M.S. Monographs |volume=8
 |publisher=Academic Press
 |isbn=978-0-12-744050-7
 |zbl=0343.05002
}}
* {{cite book
 |author=
 |year=1986
 |title=Theory of Matroids
 |editor-last=White |editor-first=Neil
 |series=Encyclopedia of Mathematics and its Applications |volume=26
 |publisher=Cambridge University Press
 |location=Cambridge, UK
 |isbn=978-0-521-30937-0 |zbl=0579.00001
 |url=https://archive.org/details/theoryofmatroids1986unse
 |url-access=registration |via=[[Internet Archive]] (archive.org)
}}
* {{cite book
 | author=
 | year=1987
 | title=Combinatorial Geometries
 | editor-last=White | editor-first=Neil
 | series=Encyclopedia of Mathematics and its Applications | volume=29
 | location=Cambridge, UK
 | publisher=[[Cambridge University Press]]
 | isbn=978-0-521-33339-9 | zbl=0626.00007
 | url=https://archive.org/details/combinatorialgeo0000unse
 | url-access=registration |via=[[Internet Archive]] (archive.org)
}}
* {{cite book
 |author=
 |year=1992a
 |title=Matroid Applications
 |editor-last=White |editor-first=Neil
 |series=Encyclopedia of Mathematics and its Applications  |volume=40
 |publisher=Cambridge University Press
 |location=Cambridge, UK
 |isbn=978-0-521-38165-9 |zbl=0742.00052
 |url=https://archive.org/details/matroidapplicati0000unse
 |url-access=registration |via=[[Internet Archive]] (archive.org)
}}
* {{cite journal
 |last=Whitney |first=Hassler |author-link=Hassler Whitney
 |year=1935
 |title=On the abstract properties of linear dependence
 |journal=[[American Journal of Mathematics]]
 |volume=57  |issue=3  |pages=509–533
 |doi=10.2307/2371182  |mr=1507091  |jstor=2371182
 |hdl=10338.dmlcz/100694  |hdl-access=free
}} — Reprinted in {{harvp|Kung|1986|pp=55–79}}
* {{cite journal
 |last=Whittle |first=Geoff
 |year=1995
 |title=A characterization of the matroids representable over ''GF''(3) and the rationals
 |journal=[[Journal of Combinatorial Theory]]
 |series=Series&nbsp;B  |volume=65  |issue=2  |pages=222–261
 |doi=10.1006/jctb.1995.1052 |doi-access=free
}}
* {{cite journal
 | last=Zaslavsky | first=Thomas
 | year=1994
 | title=Frame matroids and biased graphs
 | journal=[[Eur. J. Comb.]]
 | volume=15 | number=3 | pages=303–307
 | issn=0195-6698  | zbl=0797.05027
 | doi=10.1006/eujc.1994.1034 | doi-access=free
}}

{{refend}}