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Graphs & Network Topologies

Dijkstra, Bellman-Ford, Tarjan SCC, bridge detection, maximum network flow, and topological DAG scheduling.

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Data Structures & Algorithms, Graphs & Network Topologies

Why does standard std::priority_queue in Dijkstra cause memory bloating, and how to fix it?

When implementing Dijkstra’s algorithm for large road networks (millions of nodes and edges), the standard textbook approach pushes a new pair (new_dist, u) into a binary heap whenever a shorter path is found. This means old, obsolete distance pairs remain sitting ...Read more

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Ahmedelkomy
Ahmedelkomy
Asked: September 11, 2026In: Data Structures & Algorithms, Graphs & Network Topologies

Topological Sort: Kahn’s Algorithm (BFS) vs Tarjan’s DFS in massive dependency graphs

We are building a distributed task build engine (similar to Bazel or Make) that resolves dependency trees across 500,000 code packages. Textbooks teach both Kahn’s algorithm (indegree BFS) and DFS post-order reversal. Why do production build systems almost universally prefer Kahn’s ...Read more

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