The paper includes elements of the theory of matroids [23]. The formalization is done according to [12].MML identifier: MATROID0, version: 7.9.03 4.108.1028
@article{bwmeta1.element.doi-10_2478_v10037-008-0040-0, author = {Grzegorz Bancerek and Yasunari Shidama}, title = {Introduction to Matroids}, journal = {Formalized Mathematics}, volume = {16}, year = {2008}, pages = {325-332}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0040-0} }
Grzegorz Bancerek; Yasunari Shidama. Introduction to Matroids. Formalized Mathematics, Tome 16 (2008) pp. 325-332. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_2478_v10037-008-0040-0/
[1] Broderick Arneson and Piotr Rudnicki. Recognizing chordal graphs: Lex BFS and MCS. Formalized Mathematics, 14(4):187-205, 2006.
[2] Grzegorz Bancerek. Cardinal numbers. Formalized Mathematics, 1(2):377-382, 1990.
[3] Grzegorz Bancerek. The fundamental properties of natural numbers. Formalized Mathematics, 1(1):41-46, 1990. | Zbl 06213858
[4] Grzegorz Bancerek. Tarski's classes and ranks. Formalized Mathematics, 1(3):563-567, 1990.
[5] Czesław Byliński. Functions and their basic properties. Formalized Mathematics, 1(1):55-65, 1990.
[6] Czesław Byliński. Functions from a set to a set. Formalized Mathematics, 1(1):153-164, 1990.
[7] Czesław Byliński. Some basic properties of sets. Formalized Mathematics, 1(1):47-53, 1990.
[8] Agata Darmochwał. Finite sets. Formalized Mathematics, 1(1):165-167, 1990.
[9] Mariusz Giero. Hierarchies and classifications of sets. Formalized Mathematics, 9(4):865-869, 2001.
[10] Zbigniew Karno. The lattice of domains of an extremally disconnected space. Formalized Mathematics, 3(2):143-149, 1992.
[11] Eugeniusz Kusak, Wojciech Leończuk, and Michał Muzalewski. Abelian groups, fields and vector spaces. Formalized Mathematics, 1(2):335-342, 1990.
[12] Witold Lipski. Kombinatoryka dla programistów, chapter Matroidy, pages 163-169. Wydawnictwo Naukowo-Techniczne, 1982.
[13] Robert Milewski. Associated matrix of linear map. Formalized Mathematics, 5(3):339-345, 1996.
[14] Adam Naumowicz. On Segre's product of partial line spaces. Formalized Mathematics, 9(2):383-390, 2001.
[15] Beata Padlewska. Families of sets. Formalized Mathematics, 1(1):147-152, 1990.
[16] Beata Padlewska and Agata Darmochwał. Topological spaces and continuous functions. Formalized Mathematics, 1(1):223-230, 1990.
[17] Andrzej Trybulec. Domains and their Cartesian products. Formalized Mathematics, 1(1):115-122, 1990.
[18] Wojciech A. Trybulec. Basis of vector space. Formalized Mathematics, 1(5):883-885, 1990.
[19] Wojciech A. Trybulec. Partially ordered sets. Formalized Mathematics, 1(2):313-319, 1990.
[20] Wojciech A. Trybulec. Subspaces and cosets of subspaces in vector space. Formalized Mathematics, 1(5):865-870, 1990.
[21] Wojciech A. Trybulec. Vectors in real linear space. Formalized Mathematics, 1(2):291-296, 1990.
[22] Zinaida Trybulec. Properties of subsets. Formalized Mathematics, 1(1):67-71, 1990.
[23] D. J. A. Welsh. Matroid theory. Academic Press, London, New York, San Francisco, 1976. | Zbl 0343.05002