Graph Adjacency List

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Figure: Adjacency List

Shows a graph where each node lists only its direct neighbors. This structure is efficient for graph traversal algorithms like DFS and BFS because it gives quick access to every node’s connected edges.

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Related Topic(s):

🔥 Minimum Spanning Tree → Minimum spanning tree algorithms commonly use adjacency lists to iterate neighbors/edges efficiently on sparse graphs, enabling Prim’s O(E log V) with a heap and straightforward edge enumeration for Kruskal.

🔥 Breadth First Search → BFS uses an adjacency list to enumerate each vertex’s neighbors in O(deg(v)) time, enabling O(V+E) traversal and efficient queue expansion, especially on sparse graphs.

🔥 Depth First Search → Depth-first search implementations typically store graphs as adjacency lists to iterate neighbors efficiently, enabling O(V+E) traversal by visiting each vertex’s list in O(degree) time.

🌟 Topological Sort →

Breadth First Search →

Weighted Graph →

Graph Traversal →

Topological Sort →

Breadth First Search →

Depth First Search →

Dijkstra Algorithm →

Introduction To Weighted Graphs →