매트로이드 (Korean Wikipedia)

Analysis of information sources in references of the Wikipedia article "매트로이드" in Korean language version.

refsWebsite

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14zbmath.org

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6worldcat.org

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5ams.org

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5arxiv.org

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5harvard.edu

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3nii.ac.jp

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2jstor.org

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2icm.edu.pl

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1uni-hamburg.de

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ams.org

Oxley, James G. (1992). 《Matroid theory》 (영어). Oxford: Oxford University Press. ISBN 0-19-853563-5. MR 1207587. Zbl 0784.05002.
Recski, András (1989). 《Matroid theory and its applications in electric network theory and in statics》 (영어). Springer-Verlag, Akademiai Kiado. ISBN 3-540-15285-7. MR 1027839.
Bowler, Nathan; Geschke, Stefan (2016). “Self-dual uniform matroids on infinite sets” (PDF). 《Proceedings of the American Mathematical Society》 (영어) 144: 459–471. doi:10.1090/proc/12667. ISSN 0002-9939. MR 3430826.
Whitney, Hassler (1935). “On the abstract properties of linear dependence”. 《American Journal of Mathematics》 (영어) 57 (3): 509–533. doi:10.2307/2371182. JFM 61.0073.03. JSTOR 2371182. MR 1507091. Zbl 0012.00404.
Crapo, Henry Howland; Rota, Gian-Carlo (1970). 《On the Foundations of Combinatorial Theory Ⅱ. Combinatorial geometries》 (영어). Massachusetts Institute of Technology Press. ISBN 978-0-262-53016-3. MR 0290980.

arxiv.org

Bruhn, Henning; Diestel, Reinhard; Kriesell, Matthias; Pendavingh, Rudi A.; Wollan, Paul (2013년 6월 1일). “Axioms for infinite matroids”. 《Advances in Mathematics》 (영어) 239: 18–46. arXiv:1003.3919. Bibcode:2010arXiv1003.3919B. doi:10.1016/j.aim.2013.01.011. Zbl 1279.05013.
Bowler, Nathan; Carmesin, Johannes (2014년 7월). “Matroids with an infinite circuit-cocircuit intersection”. 《Journal of Combinatorial Theory B》 (영어) 107: 78–91. arXiv:1202.3406. Bibcode:2012arXiv1202.3406C. doi:10.1016/j.jctb.2014.02.005.
Mayhew, Dillon; Royle, Gordon F. (2007). “Matroids with nine elements” (영어). arXiv:math/0702316. Bibcode:2007math......2316M.
Bansal, Nikhil; Pendavingh, Rudi A.; van der Pol, Jorn G. (2015년 4월). “On the number of matroids”. 《Combinatorica》 (영어) 35 (3): 253–277. arXiv:1206.6270. Bibcode:2012arXiv1206.6270B. doi:10.1007/s00493-014-3029-z. ISSN 0209-9683.
Heunen, Chris; Patta, Vaia (2017). “The category of matroids”. 《Applied Categorical Structures》 (영어) 25. arXiv:1512.01390. Bibcode:2015arXiv151201390H. doi:10.1007/s10485-017-9490-2. ISSN 0927-2852.

doi.org

dx.doi.org

Gordon, Gary; McNulty, Jennifer (2012년 9월). 《Matroids: a geometric introduction》 (영어). Cambridge University Press. doi:10.1017/CBO9781139049443. ISBN 978-052176724-8.
Wilson, Robin James (1973년 5월). “An introduction to matroid theory”. 《The American Mathematical Monthly》 (영어) 80 (5): 500–525. doi:10.2307/2319608. JSTOR 2319608. Zbl 0275.05018.
Bruhn, Henning; Diestel, Reinhard; Kriesell, Matthias; Pendavingh, Rudi A.; Wollan, Paul (2013년 6월 1일). “Axioms for infinite matroids”. 《Advances in Mathematics》 (영어) 239: 18–46. arXiv:1003.3919. Bibcode:2010arXiv1003.3919B. doi:10.1016/j.aim.2013.01.011. Zbl 1279.05013.
Bowler, Nathan; Carmesin, Johannes (2014년 7월). “Matroids with an infinite circuit-cocircuit intersection”. 《Journal of Combinatorial Theory B》 (영어) 107: 78–91. arXiv:1202.3406. Bibcode:2012arXiv1202.3406C. doi:10.1016/j.jctb.2014.02.005.
Higgs, Denis A. (1969년 3월). “Equicardinality of bases in B-matroids”. 《Canadian Mathematical Bulletin》 (영어) 12: 861–862. doi:10.4153/CMB-1969-112-6. ISSN 0008-4395.
Bowler, Nathan; Geschke, Stefan (2016). “Self-dual uniform matroids on infinite sets” (PDF). 《Proceedings of the American Mathematical Society》 (영어) 144: 459–471. doi:10.1090/proc/12667. ISSN 0002-9939. MR 3430826.
Bansal, Nikhil; Pendavingh, Rudi A.; van der Pol, Jorn G. (2015년 4월). “On the number of matroids”. 《Combinatorica》 (영어) 35 (3): 253–277. arXiv:1206.6270. Bibcode:2012arXiv1206.6270B. doi:10.1007/s00493-014-3029-z. ISSN 0209-9683.
Heunen, Chris; Patta, Vaia (2017). “The category of matroids”. 《Applied Categorical Structures》 (영어) 25. arXiv:1512.01390. Bibcode:2015arXiv151201390H. doi:10.1007/s10485-017-9490-2. ISSN 0927-2852.
Whitney, Hassler (1935). “On the abstract properties of linear dependence”. 《American Journal of Mathematics》 (영어) 57 (3): 509–533. doi:10.2307/2371182. JFM 61.0073.03. JSTOR 2371182. MR 1507091. Zbl 0012.00404.
Nishimura, Hirokazu; Kuroda, Susumu (2009). 《A lost mathematician, Takeo Nakasawa: the forgotten father of matroid theory》 (영어). Springer-Verlag. doi:10.1007/978-3-7643-8573-6. ISBN 978-3-7643-8572-9. Zbl 1163.01001.
Tutte, William Thomas (1965). “Lectures on matroids”. 《Journal of Research of the National Bureau of Standards (U.S.A.) B》 (영어) 69: 1–47. doi:10.6028/jres.069b.001. Zbl 0151.33801.
Oxley, James G. (1978년 9월). “Infinite matroids”. 《Proceedings of the London Mathematical Society》 (영어) 37 (3): 259–272. doi:10.1112/plms/s3-37.2.259. Zbl 0436.05017.

harvard.edu

adsabs.harvard.edu

Bruhn, Henning; Diestel, Reinhard; Kriesell, Matthias; Pendavingh, Rudi A.; Wollan, Paul (2013년 6월 1일). “Axioms for infinite matroids”. 《Advances in Mathematics》 (영어) 239: 18–46. arXiv:1003.3919. Bibcode:2010arXiv1003.3919B. doi:10.1016/j.aim.2013.01.011. Zbl 1279.05013.
Bowler, Nathan; Carmesin, Johannes (2014년 7월). “Matroids with an infinite circuit-cocircuit intersection”. 《Journal of Combinatorial Theory B》 (영어) 107: 78–91. arXiv:1202.3406. Bibcode:2012arXiv1202.3406C. doi:10.1016/j.jctb.2014.02.005.
Mayhew, Dillon; Royle, Gordon F. (2007). “Matroids with nine elements” (영어). arXiv:math/0702316. Bibcode:2007math......2316M.
Bansal, Nikhil; Pendavingh, Rudi A.; van der Pol, Jorn G. (2015년 4월). “On the number of matroids”. 《Combinatorica》 (영어) 35 (3): 253–277. arXiv:1206.6270. Bibcode:2012arXiv1206.6270B. doi:10.1007/s00493-014-3029-z. ISSN 0209-9683.
Heunen, Chris; Patta, Vaia (2017). “The category of matroids”. 《Applied Categorical Structures》 (영어) 25. arXiv:1512.01390. Bibcode:2015arXiv151201390H. doi:10.1007/s10485-017-9490-2. ISSN 0927-2852.

icm.edu.pl

pldml.icm.edu.pl

Rado, Richard (1966). “Abstract linear dependence”. 《Colloquim Mathematicae》 (영어) 14 (1): 257–264. ISSN 0010-1354. Zbl 0136.26203.
Higgs, Denis A. (1969). “Matroids and duality”. 《Colloquium Mathematicae》 (영어) 20 (2): 215–20. ISSN 0010-1354. Zbl 0192.33402.

jstor.org

Wilson, Robin James (1973년 5월). “An introduction to matroid theory”. 《The American Mathematical Monthly》 (영어) 80 (5): 500–525. doi:10.2307/2319608. JSTOR 2319608. Zbl 0275.05018.
Whitney, Hassler (1935). “On the abstract properties of linear dependence”. 《American Journal of Mathematics》 (영어) 57 (3): 509–533. doi:10.2307/2371182. JFM 61.0073.03. JSTOR 2371182. MR 1507091. Zbl 0012.00404.

nii.ac.jp

jairo.nii.ac.jp

Nakasawa, Takeo (1935). “Zur Axiomatik der linearen Abhängigkeit Ⅰ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 2: 235–255. JFM 61.1341.03. Zbl 0012.22001.
Nakasawa, Takeo (1936). “Zur Axiomatik der linearen Abhängigkeit Ⅱ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 3: 45–69. JFM 62.0649.01. Zbl 0013.31406.
Nakasawa, Takeo (1936). “Zur Axiomatik der linearen Abhängigkeit Ⅲ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 3: 123–136. JFM 62.1400.01. Zbl 0016.03704.

uni-hamburg.de

math.uni-hamburg.de

Bowler, Nathan; Geschke, Stefan (2016). “Self-dual uniform matroids on infinite sets” (PDF). 《Proceedings of the American Mathematical Society》 (영어) 144: 459–471. doi:10.1090/proc/12667. ISSN 0002-9939. MR 3430826.

worldcat.org

Higgs, Denis A. (1969년 3월). “Equicardinality of bases in B-matroids”. 《Canadian Mathematical Bulletin》 (영어) 12: 861–862. doi:10.4153/CMB-1969-112-6. ISSN 0008-4395.
Bowler, Nathan; Geschke, Stefan (2016). “Self-dual uniform matroids on infinite sets” (PDF). 《Proceedings of the American Mathematical Society》 (영어) 144: 459–471. doi:10.1090/proc/12667. ISSN 0002-9939. MR 3430826.
Bansal, Nikhil; Pendavingh, Rudi A.; van der Pol, Jorn G. (2015년 4월). “On the number of matroids”. 《Combinatorica》 (영어) 35 (3): 253–277. arXiv:1206.6270. Bibcode:2012arXiv1206.6270B. doi:10.1007/s00493-014-3029-z. ISSN 0209-9683.
Heunen, Chris; Patta, Vaia (2017). “The category of matroids”. 《Applied Categorical Structures》 (영어) 25. arXiv:1512.01390. Bibcode:2015arXiv151201390H. doi:10.1007/s10485-017-9490-2. ISSN 0927-2852.
Rado, Richard (1966). “Abstract linear dependence”. 《Colloquim Mathematicae》 (영어) 14 (1): 257–264. ISSN 0010-1354. Zbl 0136.26203.
Higgs, Denis A. (1969). “Matroids and duality”. 《Colloquium Mathematicae》 (영어) 20 (2): 215–20. ISSN 0010-1354. Zbl 0192.33402.

zbmath.org

Oxley, James G. (1992). 《Matroid theory》 (영어). Oxford: Oxford University Press. ISBN 0-19-853563-5. MR 1207587. Zbl 0784.05002.
Welsh, Dominic James Anthony (1976). 《Matroid theory》. London Mathematical Society Monographs (영어) 8. Academic Press. ISBN 0-12-744050-X. Zbl 0343.05002.
Wilson, Robin James (1973년 5월). “An introduction to matroid theory”. 《The American Mathematical Monthly》 (영어) 80 (5): 500–525. doi:10.2307/2319608. JSTOR 2319608. Zbl 0275.05018.
Bruhn, Henning; Diestel, Reinhard; Kriesell, Matthias; Pendavingh, Rudi A.; Wollan, Paul (2013년 6월 1일). “Axioms for infinite matroids”. 《Advances in Mathematics》 (영어) 239: 18–46. arXiv:1003.3919. Bibcode:2010arXiv1003.3919B. doi:10.1016/j.aim.2013.01.011. Zbl 1279.05013.
Whitney, Hassler (1935). “On the abstract properties of linear dependence”. 《American Journal of Mathematics》 (영어) 57 (3): 509–533. doi:10.2307/2371182. JFM 61.0073.03. JSTOR 2371182. MR 1507091. Zbl 0012.00404.
Nakasawa, Takeo (1935). “Zur Axiomatik der linearen Abhängigkeit Ⅰ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 2: 235–255. JFM 61.1341.03. Zbl 0012.22001.
Nakasawa, Takeo (1936). “Zur Axiomatik der linearen Abhängigkeit Ⅱ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 3: 45–69. JFM 62.0649.01. Zbl 0013.31406.
Nakasawa, Takeo (1936). “Zur Axiomatik der linearen Abhängigkeit Ⅲ”. 《Science reports of the Tokyo Bunrika Daigaku A》 (독일어) (東京文理科大学) 3: 123–136. JFM 62.1400.01. Zbl 0016.03704.
Nishimura, Hirokazu; Kuroda, Susumu (2009). 《A lost mathematician, Takeo Nakasawa: the forgotten father of matroid theory》 (영어). Springer-Verlag. doi:10.1007/978-3-7643-8573-6. ISBN 978-3-7643-8572-9. Zbl 1163.01001.
Tutte, William Thomas (1965). “Lectures on matroids”. 《Journal of Research of the National Bureau of Standards (U.S.A.) B》 (영어) 69: 1–47. doi:10.6028/jres.069b.001. Zbl 0151.33801.
Tutte, William Thomas (1971). 《Introduction to the theory of matroids》. Modern Analytic and Computational Methods in Science and Mathematics (영어) 37. Elsevier. Zbl 0231.05027.
Rado, Richard (1966). “Abstract linear dependence”. 《Colloquim Mathematicae》 (영어) 14 (1): 257–264. ISSN 0010-1354. Zbl 0136.26203.
Higgs, Denis A. (1969). “Matroids and duality”. 《Colloquium Mathematicae》 (영어) 20 (2): 215–20. ISSN 0010-1354. Zbl 0192.33402.
Oxley, James G. (1978년 9월). “Infinite matroids”. 《Proceedings of the London Mathematical Society》 (영어) 37 (3): 259–272. doi:10.1112/plms/s3-37.2.259. Zbl 0436.05017.