Graphs & Digraphs masterfully employs student-friendly exposition, clear proofs, abundant examples, and numerous exercises to provide an essential understanding of the concepts, theorems, history, and applications of graph theory.Fully updated and thoughtfully reorganized to make reading and locating material easier for instructors and students
Introduction. Connected Graphs and Distance. Trees. Connectivity. Eulerian Graphs. Hamiltonian Graphs. Digraphs. Flows in Networks. Automorphisms and Reconstruction. Planar Graphs. Nonplanar Graphs. Matchings, Independence and Domination. Factorization and Decomposition. Vertex Colorings. Perfect Graphs and List Colorings. Map Colorings. Edge Colorings. Nowhere-Zero Flows, List Edge Colorings. Extremal Graph Theory. Ramsey Theory. The Probabilistic Method.