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Matroid Theory$
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James Oxley

Print publication date: 2011

Print ISBN-13: 9780198566946

Published to Oxford Scholarship Online: December 2013

DOI: 10.1093/acprof:oso/9780198566946.001.0001

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Duality

Duality

Chapter:
(p.64) 2 Duality
Source:
Matroid Theory
Author(s):

James Oxley

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566946.003.0003

This chapter first defines the dual of a matroid, proves that it is also a matroid, and establishes some fundamental links between matroids and their duals. It then discusses the duals of representable, graphic, and transversal matroids.

Keywords:   duals, representable matroids, graphic matroids, transversal matroids

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