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Theory of Matroids (Paperback)
Loot Price: R1,828
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Theory of Matroids (Paperback)
Series: Encyclopedia of Mathematics and its Applications
Expected to ship within 12 - 17 working days
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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. Indeed, matroids are amazingly versatile and the
approaches to the subject are varied and numerous. This book is a
primer in the basic axioms and constructions of matroids. The
contributions by various leaders in the field include chapters on
axiom systems, lattices, basis exchange properties, orthogonality,
graphs and networks, constructions, maps, semi-modular functions
and an appendix on cryptomorphisms. The authors have concentrated
on giving a lucid exposition of the individual topics; explanations
of theorems are preferred to complete proofs and original work is
thoroughly referenced. In addition, exercises are included for each
topic.
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