Beginning with the origin of the four color problem in 1852, the field of graph colorings has developed into one of the most popular areas of graph theory. Introducing graph theory with a coloring theme, Chromatic Graph Theory explores connections between major topics in graph theory and graph colorings as well as emerging topics. This self-contain
The Origin of Graph Colorings. Introduction to Graphs. Trees and Connectivity. Eulerian and Hamiltonian Graphs. Matchings and Factorization. Graph Embeddings. Introduction to Vertex Colorings. Bounds for the Chromatic Number. Coloring Graphs on Surfaces. Restricted Vertex Colorings. Edge Colorings of Graphs. Monochromatic and Rainbow Colorings. Complete Colorings. Distinguishing Colorings. Colorings, Distance, and Domination. Appendix. General References. Bibliography. Index. List of Symbols.