Klappentext Matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Zusammenfassung The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory! lattice theory! design theory! combinatorial optimization! linear algebra! group theory! ring theory and field theory. Furthermore! matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems. Inhaltsverzeichnis 1. Examples and Basic Concepts Henry Crapo; 2. Axiom Systems Giorgio Nicoletti and Neil White; 3. Lattices Ulrich Faigle; 4. Basis-Exchange Properties Joseph P. S. Kung; 5. Orthogonality Henry Crapo; 6. Graphs and Series-Parallel Networks James Oxley; 7. Constructions Thomas Brylawski; 8. Strong Maps Joseph P. S. Kung; 9. Weak Maps Joseph P. S. Kung and Hein Q. Nguyen; 10. Semimodular Functions Hein Q. Nguyen.

Zusammenfassung
The theory of matroids is unique in the extent to which it connects such disparate branches of combinatorial theory and algebra as graph theory, lattice theory, design theory, combinatorial optimization, linear algebra, group theory, ring theory and field theory. Furthermore, matroid theory is alone among mathematical theories because of the number and variety of its equivalent axiom systems.

Inhalt

1. Examples and Basic Concepts Henry Crapo; 2. Axiom Systems Giorgio Nicoletti and Neil White; 3. Lattices Ulrich Faigle; 4. Basis-Exchange Properties Joseph P. S. Kung; 5. Orthogonality Henry Crapo; 6. Graphs and Series-Parallel Networks James Oxley; 7. Constructions Thomas Brylawski; 8. Strong Maps Joseph P. S. Kung; 9. Weak Maps Joseph P. S. Kung and Hein Q. Nguyen; 10. Semimodular Functions Hein Q. Nguyen.