12.2 AdjacencyLists: A Graph as a Collection of Lists



12.2 AdjacencyLists: A Graph as a Collection of Lists

Adjacency list representations of graphs take a more vertex-centric approach. There are many possible implementations of adjacency lists. In this section, we present a simple one. At the end of the section, we discuss different possibilities. In an adjacency list representation, the graph $ G=(V,E)$ is represented as an array, $ \mathtt{adj}$, of lists. The list $ \mathtt{adj[i]}$ contains a list of all the vertices adjacent to vertex $ \mathtt{i}$. That is, it contains every index $ \mathtt{j}$ such that $ \ensuremath{\mathtt{(i,j)}}\in E$.

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