Springer Monographs in Mathematics

Boolean Representations of Simplicial Complexes and Matroids

Authors: Rhodes, John, Silva, Pedro V.

  • Contains open problems and new ideas for research
  • Develops a geometric theory in an extended context
  • Uses the lattice structure for all representations of  boolean representations of simplicial complexes
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eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-15114-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-319-15113-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-38367-5
  • Free shipping for individuals worldwide
About this book

This self-contained monograph explores a new theory centered around boolean representations of simplicial complexes leading to a new class of complexes featuring matroids as central to the theory. The book illustrates these new tools to study the classical theory of matroids as well as their important geometric connections. Moreover, many geometric and topological features of the theory of matroids find their counterparts in this extended context.
 
Graduate students and researchers working in the areas of combinatorics, geometry, topology, algebra and lattice theory will find this monograph appealing due to the wide range of new problems raised by the theory. Combinatorialists will find this extension of the theory of matroids useful as it opens new lines of research within and beyond matroids. The geometric features and geometric/topological applications will appeal to geometers. Topologists who desire to perform algebraic topology computations will appreciate the algorithmic potential of boolean representable complexes.

Table of contents (9 chapters)

Buy this book

eBook $79.99
price for USA in USD (gross)
  • ISBN 978-3-319-15114-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.99
price for USA in USD
  • ISBN 978-3-319-15113-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $99.99
price for USA in USD
  • Customers within the U.S. and Canada please contact Customer Service at 1-800-777-4643, Latin America please contact us at +1-212-460-1500 (Weekdays 8:30am – 5:30pm ET) to place your order.
  • Due: November 18, 2016
  • ISBN 978-3-319-38367-5
  • Free shipping for individuals worldwide
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Bibliographic Information

Bibliographic Information
Book Title
Boolean Representations of Simplicial Complexes and Matroids
Authors
Series Title
Springer Monographs in Mathematics
Copyright
2015
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing Switzerland
eBook ISBN
978-3-319-15114-4
DOI
10.1007/978-3-319-15114-4
Hardcover ISBN
978-3-319-15113-7
Softcover ISBN
978-3-319-38367-5
Series ISSN
1439-7382
Edition Number
1
Number of Pages
X, 173
Number of Illustrations and Tables
36 b/w illustrations
Topics