πŸ“… 2024-07-01 β€” Session: Graph Theory Algorithms Analysis

πŸ•’ 19:25–19:45
🏷️ Labels: Graph Theory, Algorithms, MST, Study Assistance, Optimization
πŸ“‚ Project: Teaching
⭐ Priority: MEDIUM

Session Goal

The session aimed to explore and analyze various graph theory algorithms, focusing on Minimum Spanning Trees (MST) and pathfinding algorithms.

Key Activities

  • Provided study assistance for exam preparation, focusing on clear explanations of specific topics.
  • Discussed the concept of Minimum Spanning Tree (MST) and relevant algorithms such as Kruskal, Prim, BFS, and DFS.
  • Analyzed algorithms to find an MST in a connected graph with distinct edge weights, emphasizing the uniqueness of the MST.
  • Evaluated statements about edge membership in MSTs and determined their validity.
  • Reviewed Facundo’s algorithm for finding cycles in graphs, concluding its correctness and analyzing its time complexity.
  • Detailed an approach to solve path optimization problems in graphs using Dijkstra and Bellman-Ford algorithms.

Achievements

  • Gained insights into the efficiency and application of various graph algorithms.
  • Clarified the uniqueness and properties of MSTs in different contexts.

Pending Tasks

  • Further exploration of advanced graph algorithms and their applications in real-world scenarios.