Boolean Representations of Simplicial Complexes and Matroids

• Main Authors: Rhodes, John (Author), Silva, Pedro V. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2015.
• Series: Springer Monographs in Mathematics,
• Subjects: Mathematics.; Algebraic geometry.; Associative rings.; Rings (Algebra).; Matrix theory.; Algebra.; Ordered algebraic structures.; Algebraic topology.; Combinatorics.; Order, Lattices, Ordered Algebraic Structures.; Associative Rings and Algebras.; Algebraic Topology.; Algebraic Geometry.; Linear and Multilinear Algebras, Matrix Theory.

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 importa...