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Discrete Mathematics

Exercises for Discrete Mathematics a course at the Faculty of Computer and Information Science, University of Ljubljana.

Gradiva za vaje iz diskretne matematike, predmet na Fakulteti za računalništvo in informatiko Univerze v Ljubljani.

Link to the book.

Contents

Chapter 1.Introduction to SageMath

Chapter 2. Depth-first search and breadth-first search

Chapter 3. Low value and 2-connected components

Chapter 4. Shortest Hamiltonian cycle (Traveling salesman problem)

Chapter 5. Graph drawing

Chapter 6. 3-colooring planar graphs without short cycles

Chapter 7. 5-coloring planar graphs

Chapter 8. List coloring of planar triangulations

Chapter 9. Balanced cycle separators in planar graphs

Chapter 10. Chordal graphs

Chapter 11. Tree decomposition

Chapter 12. Maximum independent set

Chapter 13. Matchings and covers in bipartite graphs

Chapter 14. Stable matchings

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