# Introduction To Graph Theory

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## 0072948620

Edition:  1
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Publisher:  McGraw-Hill Higher Education
Summary: 1 Introduction 1.1 Graphs and Graph Models 1.2 Connected Graphs 1.3 Common Classes of Graphs 1.4 Multigraphs and Digraphs 2 Degrees 2.1 The Degree of a Vertex 2.2 Regular Graphs 2.3 Degree Sequences 2.4 Excursion: Graphs and Matrices 2.5 Exploration: Irregular Graphs 3 Isomorphic Graphs 3.1 The Definition of Isomorphism 3.2 Isomorphism as a Relation 3.3 Excursion: Graphs and Groups 3.4 Excursion: Reconstruction and S...olvability 4 Trees 4.1 Bridges 4.2 Trees 4.3 The Minimum Spanning Tree Problem 4.4 Excursion: The Number of Spanning Trees 5 Connectivity 5.1 Cut-Vertices 5.2 Blocks 5.3 Connectivity 5.4 Menger's Theorem 5.5 Exploration: Geodetic Sets 6 Traversability 6.1 Eulerian Graphs 6.2 Hamiltonian Graphs 6.3 Exploration: Hamiltonian Walks and Numbers 6.4 Excursion: The Early Books of Graph Theory 7 Digraphs 7.1 Strong Digraphs 7.2 Tournaments 7.3 Excursion: Decision-Making 7.4 Exploration: Wine Bottle Problems 8 Matchings and Factorization 8.1 Matchings 8.2 Factorization 8.3 Decompositions and Graceful Labelings 8.4 Excursion: Instant Insanity 8.5 Excursion: The Petersen Graph 8.6 Exploration: -Labeling of Graphs 9 Planarity 9.1 Planar Graphs 9.2 Embedding Graphs on Surfaces 9.3 Excursion: Graph Minors 9.4 Exploration: Embedding Graphs in Graphs 10 Coloring 10.1 The Four Color Problem 10.2 Vertex Coloring 10.3 Edge Coloring 10.4 Excursion: The Heawood Map Coloring Theorem 10.5 Exploration: Local Coloring 11 Ramsey Numbers 11.1 The Ramsey Number of Graphs 11.2 Turan's Theorem 11.3 Exploration: Rainbow Ramsey Numbers 11.4 Excursion: Erdos Numbers 12 Distance 12.1 The Center of a Graph 12.2 Distant Vertices 12.3 Excursion: Locating Numbers 12.4 Excursion: Detour and Directed Distance 12.5 Exploration: Channel Assignment 12.6 Exploration: Distance Between Graphs 13 Domination 13.1 The Domination Number of a Graph 13.2 Exploration: Stratification 13.3 Exploration: Lights Out 13.4 Excursion: And Still It Grows More Colorful Appendix 1 Sets and Logic Appendix 2 Equivalence Relations and Functions Appendix 3 Methods of Proof

Chartrand, Gary is the author of Introduction To Graph Theory, published 2005 under ISBN 9780072948622 and 0072948620. Eighteen Introduction To Graph Theory textbooks are available for sale on ValoreBooks.com, two used from the cheapest price of \$98.45, or buy new starting at \$133.31.

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