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This article explains the shortest path problem in graph theory, presents its integer linear programming model, reviews classic algorithms such as Dijkstra, Bellman‑Ford, and Floyd‑Warshall, and demonstrates solving a city‑flight cost example using Python’s NetworkX library with code snippets.
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This article introduces the classic shortest‑path problem in graph theory, explains major algorithms such as Dijkstra, Bellman‑Ford, Floyd and A*, discusses their strengths and limitations, and demonstrates their application to a city‑ticket pricing case using Python’s NetworkX library.