Weighted Graph

Weighted Graph

data_structure graph abstract_data_type nonlinear edge_weighted edge_labeled discrete_structure
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🔥 Shortest Path → Shortest-path algorithms on weighted graphs minimize total path cost by aggregating edge weights (typically summing) and performing edge relaxations; weight properties (e.g., non-negative vs. negative) determine algorithm choice (Dijkstra vs. Bellman–Ford) and correctness.
🔥 Weighted Graph → weighted_graph relies on the introduction’s definitions of edge weights and their semantics, how weights are stored with edges, and constraints like sign (nonnegative/negative) and directionality, which determine correct modeling and evaluation of the structure.
🌟 Minimum Spanning Tree →
Floyd-Warshall Algorithm →
Boruvka Algorithm →
Prim Algorithm →
Kruskal Algorithm →
Dijkstra Algorithm →
Bellman-Ford Algorithm →
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