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Matroids. A geometric introduction. (English) Zbl 1253.05002
Cambridge: Cambridge University Press (ISBN 978-0-521-14568-8/pbk; 978-0-521-76724-8/hbk; 978-1-113-953379-9/ebook). xv, 393 p. (2012).
The authors provide a brilliant introduction to Matroids, suitable for an advanced undergraduate or graduate student. The book is written conversationally in a manner which adds flavor and spice to the text without being overly cheesy. This text will serve as an excellent textbook (complete with loads of exercises and projects) as well as a handy reference.
The table of contents is listed here to provide an overview of the topics covered:
1.
A tour of matroids
2.
Crytomorphisms
3.
New matroids from old
4.
Graphic matroids
5.
Finite geometry
6.
Representable matroids
7.
Other matroids
8.
Matroid minors
9.
The Tutte polynomial

MSC:
05-01 Introductory exposition (textbooks, tutorial papers, etc.) pertaining to combinatorics
05B35 Combinatorial aspects of matroids and geometric lattices
52B40 Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.)
Keywords:
matroids
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