Introduction To Graph Theory By Douglas B West Pdf
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Many students acquire the PDF and then give up by Chapter 2. West is not a casual read. Here is a survival guide:
Edition: 2nd Edition (most common, published by Prentice Hall)
Level: Upper undergraduate / beginning graduate
Style: Rigorous, proof-based, with many exercises
Do not read the prose like a novel. Have paper and pencil next to you. For every theorem, try to prove it yourself before reading West’s proof. introduction to graph theory by douglas b west pdf
This is where West separates beginners from experts.
Trees and Distance
Matchings and Factors
Connectivity
Planar Graphs
Coloring Graphs
Extremal Graph Theory
Ramsey Theory (deeper dive)
Directed Graphs and Tournaments
Appendices: Mathematical background (sets, proofs, induction, asymptotic notation)
Finally, West tackles Hamiltonian cycles (visiting every vertex once) versus Eulerian circuits (visiting every edge once). He covers Dirac’s theorem (degree conditions for Hamiltonicity) and the Traveling Salesman Problem (TSP).