📅 2023-10-15 — Session: Developed Algorithms for Bandwidth and Connectivity in Graphs
🕒 17:30–18:20
🏷️ Labels: Bandwidth, Graph Theory, Algorithms, Networking, BFS, DFS
📂 Project: Dev
⭐ Priority: MEDIUM
Session Goal
The session aimed to explore and develop algorithms related to bandwidth calculation and connectivity in computer networks using graph theory.
Key Activities
- Bandwidth Calculation: Reviewed formulas for determining bandwidth in sequences of computers, focusing on the weakest link’s impact on overall bandwidth.
- Optimized Bandwidth Algorithm: Developed a modified Dijkstra algorithm to minimize bandwidth between nodes, enhancing network efficiency.
- Critical Edges in BFS Trees: Reflected on the concept of critical edges in BFS trees, understanding their role in node connectivity.
- Bridges in Graph Theory: Clarified the impact of bridge removal in BFS trees on network connectivity.
- Bridge Detection Algorithm: Executed a DFS-based algorithm to identify bridges in graphs, ensuring robust network design.
- BFS for Connection Distance: Implemented BFS to solve connection distance problems in computer networks.
Achievements
- Successfully formulated and refined algorithms for bandwidth optimization and bridge detection.
- Gained insights into the critical role of specific edges in maintaining network connectivity.
Pending Tasks
- Further testing and validation of the developed algorithms in real-world network scenarios to ensure reliability and efficiency.