Graph

Graph

data_structure discrete_structure combinatorial_structure nonlinear_structure directed_graph undirected_graph weighted_graph unweighted_graph labeled_graph simple_graph multigraph pseudograph hypergraph bipartite_graph complete_graph connected_graph acyclic_graph cyclic_graph planar_graph sparse_graph dense_graph dag tree adjacency_list adjacency_matrix edge_list
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🔥 Graph Cost → Cost metrics on graphs (e.g., edge/path weights, MST total weight, cut capacity) are defined only given a graph’s vertices, edges, and representation; cost computation and optimization algorithms rely on the underlying graph structure.
🔥 Directed Graph → A directed_graph is a specialization of a graph where each edge has an orientation (u->v); it reuses the graph’s vertex/edge abstractions and common representations (adjacency lists/matrices) while adding direction-specific semantics and algorithms.
🌟 Graph Traversal →
🌟 Adjacency Matrix →
🌟 Adjacency List →
⚡️ Depth First Search →
⚡️ Breadth First Search →
Directed Acyclic Graph →
Topological Sort →
Network Flow →
Minimum Spanning Tree →
Prim Algorithm →
Shortest Path →
Kruskal Algorithm →
Undirected Graph →
Boruvka Algorithm →
Dijkstra Algorithm →
Weighted Graph →