I.A Brief Introduction to Graphs and Their Products
2. Automorphisms and Invariants
3. Hypercubes and Isometric Subgraphs
5. The Four Standard Graph Products
II. Factorization and Cancellation
10. Lexicographic Product
III. Isometric Embeddings
11. The Relation K and Partial Cubes
13. The Canonical Isometric Embedding
14. A Dynamic Location Problem
15. Isometries in Strong Products and Product Dimensions
17. Graph Representation and Algorithms
18. Recognizing Hypercubes and Partial Cubes
19. Chemical Graphs and the Wiener Index
20. Arboricity, Squares, and Triangles
21. Recognizing Median Graphs
22. Recognizing Partial Hamming Graphs and Quasi-Median Graphs
23. Factoring the Cartesian Product
24. Recognizing Direct, Strong, and Lexicographic Products
26. Coloring and Hedetniemi's Conjecture
27. Independence Number and Shannon Capacity
28. Domination and Vizing's Conjecture
29. Cycle Spaces and Bases
Appendix: Hints and Solutions to Exercises
