A Course in Topological Combinatorics

• Main Author: Longueville, Mark. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: New York, NY : Springer New York : Imprint: Springer, 2013.
• Series: Universitext,
• Subjects: Mathematics.; Combinatorics.; Discrete groups.; Convex and Discrete Geometry.; Graph Theory.; Game Theory, Economics, Social and Behav. Sciences.; Mathematics of Algorithmic Complexity.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-1-4419-7910-0

A Course in Topological Combinatorics is the first undergraduate textbook on the field of topological combinatorics, a subject that has become an active and innovative research area in mathematics over the last thirty years with growing applications in math, computer science, and other applied areas...

Table of Contents:

• Preface
• List of Symbols and Typical Notation
• 1 Fair-Division Problems
• 2 Graph-Coloring Problems
• 3 Evasiveness of Graph Properties
• 4 Embedding and Mapping Problems
• A Basic Concepts from Graph Theory
• B Crash Course in Topology
• C Partially Ordered Sets, Order Complexes, and Their Topology
• D Groups and Group Actions
• E Some Results and Applications from Smith Theory
• References
• Index.