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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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Binary Matroids

Binary Matroids

Chapter:
(p.344) 9 Binary Matroids
Source:
Matroid Theory
Author(s):

James Oxley

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566946.003.0010

This chapter discusses the properties of binary matroids. In particular, it proves numerous characterizations of such matroids. It looks at two vector spaces which are commonly associated with a binary matroid. It extends these ideas to a more general class of matroids and touches briefly on Tutte's theory of chain-groups. It shows how 3-sum for graphs can be extended to binary matroids. It concludes with a discussion of several other special properties of binary matroids.

Keywords:   binary matroids, 3-sum, Tutte's theory of chain groups

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