## A Course in Topological Combinatorics
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. |

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### Contents

Chapter 1 FairDivision Problems
| 1 |

Chapter 2 GraphColoring Problems
| 37 |

Chapter 3 Evasiveness of Graph Properties
| 69 |

Chapter 4 Embedding and Mapping Problems
| 96 |

Chapter 5 Appendix A Basic Concepts from Graph Theory
| 145 |

Chapter 6 Appendix B Crash Course in Topology
| 163 |

Chapter 7 Appendix C Partially Ordered Sets Order Complexes and Their Topology
| 198 |

Chapter 8 Appendix D Groups and Group Actions
| 209 |

Chapter 9 Appendix E Some Results and Applications from Smith Theory
| 219 |

229 | |

233 | |