A Course in Topological Combinatorics

• Κύριος συγγραφέας: Longueville, Mark de (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: New York, NY : Springer New York : Imprint: Springer, 2013.
• Σειρά: Universitext,
• Θέματα: Mathematics.; Game theory.; Algorithms.; Convex geometry.; Discrete geometry.; Combinatorics.; Graph theory.; Convex and Discrete Geometry.; Graph Theory.; Game Theory, Economics, Social and Behav. Sciences.; Mathematics of Algorithmic Complexity.

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...

Πίνακας περιεχομένων:

• 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.