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Matroid Theory

Name: Matroid Theory
Brand: Oxford University Press
SKU: 04527847
Price: 254.49 EUR
Availability: InStock
Author: James G. Oxley
ISBN: 9780198566946

James G. Oxley

Language

English

Book Hardback

Libristo code: 04527847

Publishers Oxford University Press, February 2011

* What is the essence of the similarity between linearly independent sets of columns of a matrix and... Full description

Libristo code: 04527847

623 b

254.49 € VAT included

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* What is the essence of the similarity between linearly independent sets of columns of a matrix and forests in a graph? * Why does the greedy algorithm produce a spanning tree of minimum weight in a connected graph? * Can we test in polynomial time whether a matrix is totally unimodular? Matroid theory examines and answers questions like these. Seventy-five years of study of matroids has seen the development of a rich theory with links to graphs, lattices, codes, transversals, and projective geometries. Matroids are of fundamental importance in combinatorial optimization and their applications extend into electrical and structural engineering. This book falls into two parts: the first provides a comprehensive introduction to the basics of matroid theory, while the second treats more advanced topics. The book contains over seven hundred exercises and includes, for the first time in one place, proofs of all of the major theorems in the subject. The last two chapters review current research and list more than eighty unsolved problems along with a description of the progress towards their solutions.