The Resource A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)

A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)

Label
A Course in Topological Combinatorics
Title
A Course in Topological Combinatorics
Statement of responsibility
by Mark Longueville
Creator
Contributor
Author
Provider
Subject
Language
eng
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
Member of
http://library.link/vocab/creatorName
Longueville, Mark
Image bit depth
0
LC call number
QA164-167.2
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
SpringerLink
Series statement
Universitext,
http://library.link/vocab/subjectName
  • Mathematics
  • Combinatorics
  • Discrete groups
  • Mathematics
  • Combinatorics
  • Convex and Discrete Geometry
  • Graph Theory
  • Game Theory, Economics, Social and Behav. Sciences
  • Mathematics of Algorithmic Complexity
Label
A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XII, 238 p. 153 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781441979100
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4419-7910-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4419-7910-0
Label
A Course in Topological Combinatorics, by Mark Longueville, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
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
Dimensions
unknown
Extent
XII, 238 p. 153 illus.
File format
multiple file formats
Form of item
electronic
Isbn
9781441979100
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-1-4419-7910-0
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-1-4419-7910-0

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