This comprehensive text offers undergraduates a remarkably student-friendly introduction to graph theory. Written by two of the field's most prominent experts, it takes an engaging approach that emphasizes graph theory's history. Unique examples and lucid proofs provide a sound yet accessible treatment that stimulates interest in an evolving subject and its many applications. Optional sections designated as excursion and exploration present interesting sidelights of graph theory and touch upon topics that allow students the opportunity to experiment and use their imaginations. Three appendixes review important facts about sets and logic, equivalence relations and functions, and the methods of proof. The text concludes with solutions or hints for odd-numbered exercises, in addition to references, indexes, and a list of symbols.
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1. Introduction2. Degrees3. Isomorphic Group4. Trees5. Connectivity6. Traversability7. Digraphs8. Matchings and Factorization9. Planarity10. Coloring Graphs11. Ramsy Numbers12. Distance13. DominationAppendix 1Appendix 2Appendix 3Solutions and Hints for Odd-Numbered ExercisesReferencesIndex of NamesIndex of Mathematical TermsList of Symbols
