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Single-Source Shortest Path (SSSP)
Overview
Single-Source Shortest Path (SSSP)
algorithms
data structures
graphs
python
java
software engineering
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Dijkstra Algorithm →
Dijkstra's algorithm depends on the SSSP formulation: it solves SSSP on graphs with non-negative edge weights by applying edge relaxation ordered via a priority queue, and its correctness is framed in SSSP terms.
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Bellman-Ford Algorithm →
Bellman–Ford solves the single-source shortest path problem, applying repeated edge relaxation and negative-cycle detection to handle graphs with negative weights; understanding the SSSP objective and relaxation model is required to implement and analyze Bellman–Ford.
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Directed Acyclic Graph →
SSSP techniques (relaxation, edge-weight handling) enable linear-time path algorithms on DAGs via topological ordering; many DAG tasks (shortest/longest paths, scheduling) are specialized SSSP formulations that reuse these ideas.
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Breadth First Search →
Single-Pair Shortest Path →
All-Pairs Shortest Path →