Introduction to Matroids

• Autorzy: Grzegorz Bancerek , Yasunari Shidama
• Języki publikacji: EN

Abstrakty

EN

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

• Wydawca: De Gruyter Open
• Czasopismo: Formalized Mathematics
• Rocznik: 2008
• Tom: 16
• Numer: 4
• Strony: 325-332

Daty

wydano

2008-01-01

online

2009-03-20

Twórcy

autor

Grzegorz Bancerek

• Białystok Technical University, Poland

autor

Yasunari Shidama

• Shinshu University, Nagano, Japan

Bibliografia

• [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.
• [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.

Identyfikatory

DOI

10.2478/v10037-008-0040-0