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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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Research in Representability and Structure

Research in Representability and Structure

Chapter:
(p.525) 14 Research in Representability and Structure
Source:
Matroid Theory
Author(s):

James Oxley

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780198566946.003.0015

This chapter considers recent progress on the Well-Quasi-Ordering Conjecture for matroids and on Rota's Conjecture. It also discusses some related work on matroids representable over finite fields. One constant theme throughout the chapter is the many contrasts between the classes of GF(q)-representable and ℝ-representable matroids.

Keywords:   representable, matroids, Well-Quasi-Ordering Conjecture, Rota's Conjecture

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