A Course in Combinatorics and Graphs

This compact textbook consists of lecture notes given as a fourth-year undergraduate course of the mathematics degree at the Universitat Politècnica de Catalunya, including topics in enumerative combinatorics, finite geometry, and graph theory. This text covers a single-semester course and is aimed...

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Detalles Bibliográficos
Main Authors: Ball, Simeon (Author), Serra, Oriol (Author)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:inglés
Publicado: Cham : Springer Nature Switzerland : Imprint: Birkhäuser, 2024.
Edición:1st ed. 2024.
Series:Compact Textbooks in Mathematics,
Subjects:
Acceso en liña:https://doi.org/10.1007/978-3-031-55384-4
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Table of Contents:
  • Preface
  • Chapter 1 Symbolic Enumeration
  • Chapter 2 Labelled enumeration
  • Chapter 3 Enumeration with symmetries
  • Chapter 4 Finite Geometries and Latin Squares
  • Chapter 5 Matchings
  • Chapter 6 Connectivity
  • Chapter 7 Planarity
  • Chapter 8 Graph Colouring
  • Chapter 9 Extremal Graph Theory
  • Chapter10 Hints and solutions to selected exercises
  • Bibliography.