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Oxford University Press Oxford Matroid Theory - Graduate Texts In Mathematics 21

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Description

Explore the fundamental connections between graph theory and linear algebra with Matroid Theory from the Oxford Graduate Texts In Mathematics series. This academic text investigates the essential similarities between linearly independent sets of matrix columns and forests in a graph. Through seventy-five years of mathematical study, the theory of matroids has developed deep links to lattices, codes, transversals, and projective geometries. This book addresses complex questions regarding the greedy algorithm's ability to produce minimum weight spanning trees in connected graphs and the polynomial time testing of totally unimodular matrices. As a vital resource for combinatorial optimization, this Oxford University Press publication provides a comprehensive look at a field of fundamental importance in modern mathematics.

Key Features

This Oxford University Press publication is part of the Graduate Texts In Mathematics series, volume 21.

The text examines the mathematical relationship between linearly independent matrix columns and graph forests.

It provides detailed analysis on why the greedy algorithm produces a spanning tree of minimum weight in connected graphs.

The book covers the development of matroid theory and its links to codes, lattices, and projective geometries.

Readers can explore questions regarding the polynomial time testing of totally unimodular matrices.

Product Specifications

Format
paperback
Domain
Amazon UK
Release Date
08 April 2011
Listed Since
14 October 2010

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