One-Factorizations

List of Figures. List of Tables. Preface. 1. Graphs. 2. Walks, Paths and Cycles. 3. One-Factors and One-Factorizations. 4. Orthogonal One-Factorizations. 5. Tournament Applications of One-Factorizations. 6. A General Existence Theorem. 7. Graphs without One-Factors. 8. Edge-Colorings. 9. One-Factorizations and Triple Systems. 10. Starters. 11. Invariants of One-Factorizations. 12. Automorphisms and Asymptotic Numbers of One-Factorizations. 13. Systems of Distinct Representatives. 14. Subfactorizations and Asymptotic Numbers of One-Factorizations. 15. Cyclic One-Factorizations. 16. Perfect Factorizations. 17. One-Factorizations of Multigraphs. 18. Maximal Sets of Factors. 19. The One-Factorization Conjecture. 20. Premature Sets of Factors. 21. Cartesian Products. 22. Kotzig's Problem. 23. Other Products. A. One-Factorizations of K10. B. Generators of Simple Indecomposable Factorizations. C. Generators of Nonsimple Indecomposable Factorizations. References. Index.