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Graph Theory

The Mathematics of Connection

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This Shipslides page presents Graph Theory as an interactive HTML presentation deck in the Mathematics catalog with 32 slides. The share page keeps the uploaded deck sandboxed while exposing readable context, topics, and a slide outline for viewers and search engines.

The Mathematics of Connection Key sections include: Graph Theory; Origins: The Bridges of Konigsberg; Fundamental Definitions; The Handshaking Lemma; Special Graph Families; Paths, Cycles, and Connectivity; Trees and Spanning Trees; Graph Traversal Algorithms; Shortest Path Algorithms; Euler and Hamilton Paths.

Key sections

  • 01Graph Theory
  • 02Origins: The Bridges of Konigsberg
  • 03Fundamental Definitions
  • 04The Handshaking Lemma
  • 05Special Graph Families
  • 06Paths, Cycles, and Connectivity
  • 07Trees and Spanning Trees
  • 08Graph Traversal Algorithms

Topics covered

mathematicsgraphtheory
Slide outline
  1. 01Graph Theory
  2. 02Origins: The Bridges of Konigsberg
  3. 03Fundamental Definitions
  4. 04The Handshaking Lemma
  5. 05Special Graph Families
  6. 06Paths, Cycles, and Connectivity
  7. 07Trees and Spanning Trees
  8. 08Graph Traversal Algorithms
  9. 09Shortest Path Algorithms
  10. 10Euler and Hamilton Paths
  11. 11Planar Graphs
  12. 12Graph Coloring
  13. 13Network Flow
  14. 14Matching Theory
  15. 15Random Graphs
  16. 16Small-World and Scale-Free Networks
  17. 17Graph Algorithms in Practice
  18. 18Ramsey Theory
  19. 19Spectral Graph Theory
  20. 20Graph Minors and Robertson-Seymour
  21. 21NP-Complete Graph Problems
  22. 22Approximation and Parameterized Algorithms
  23. 23Graph Databases and Knowledge Graphs
  24. 24Social Network Analysis
  25. 25Extremal Graph Theory
  26. 26Graph Isomorphism
  27. 27Topological Graph Theory
  28. 28Historical Milestones
  29. 29Open Problems
  30. 30Computational Complexity Classes
  31. 31Modern Applications
  32. 32Key Takeaways
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Updated
2026-05-17
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