: Trees and forests, spanning tree algorithms, and bipartite graphs. Paths & Cycles : Euler paths, Hamilton paths, and Hamiltonian cycles. Coloring & Planarity : Vertex and edge coloring, and planar graphs. Advanced Topics
The book covers essential graph theory topics in a logical, provocative sequence: Foundations : Basics, subgraphs, connectedness, and isomorphic graphs. Structures
: Intended for third- and fourth-year math, computer science, and engineering majors, though the author famously states students just need to "bring their brains" as it starts from first principles. Key Topics Covered
The full text of the book can be found or previewed through various academic and public repositories: Graph Theory: A Problem Oriented Approach - AMS Bookstore
