A course in topological combinatorics Mark de Longueville

Format:

Book

Author/Creator:

Longueville, Mark de

Series:

Universitext

Universitext 0172-5939

Language:

English

Subjects (All):

Combinatorial topology.

Physical Description:

1 online resource

Place of Publication:

New York, NY Springer ©2013

Language Note:

English

System Details:

text file

PDF

Summary:

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. Topological combinatorics is concerned with solutions to combinatorial problems by applying topological tools. In most cases these solutions are very elegant and the connection between combinatorics and topology often arises as an unexpected surprise. The textbook covers topics such as fair division, graph coloring problems, evasiveness of graph properties, and embedding problems from discrete geometry. The text contains a large number of figures that support the understanding of concepts and proofs. In many cases several alternative proofs for the same result are given, and each chapter ends with a series of exercises. The extensive appendix makes the book completely self-contained. The textbook is well suited for advanced undergraduate or beginning graduate mathematics students. Previous knowledge in topology or graph theory is helpful but not necessary. The text may be used as a basis for a one- or two-semester course as well as a supplementary text for a topology or combinatorics class

Contents:

Fair-Division Problems Graph-Coloring Problems Evasiveness of Graph Properties Embedding and Mapping Problems

Appendices: 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

Notes:

Includes bibliographical references and index

Other Format:

Electronic version Longueville, Mark de. Course in topological combinatorics.

ISBN:

9781441979100

1441979107

1441979093

9781441979094

OCLC:

811620790

Access Restriction:

Restricted for use by site license