Graph Theory
Linear & Abstract Algebra
Master graph theory from connectivity and coloring to spectral methods and Ramsey theory — the mathematics of networks and combinatorial structure.
Learning Objectives
- Analyze graphs using degree sequences, Euler paths, and Hamiltonian cycles
- Apply spanning tree algorithms and the Matrix-Tree theorem
- Determine chromatic numbers and verify planarity via Kuratowski's theorem
- Compute maximum flows using Ford-Fulkerson and Hall's theorem
- Use spectral methods and Cheeger's inequality for graph analysis
- Apply Ramsey theory and Turán's theorem to extremal problems
Lessons
Quick Practice
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Key Concept Flashcards
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