Graph Representation in Memory
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Overview
TODO CLRS page 589, DDIA location 1392.
Graph Input Size
When it comes to graphs, the input size is given by two parameters: the number of vertices (n) and the number of edges (m).
For a connected, undirected graph with n vertices, the number of edges ranges from n - 1 and n (n - 1)/2
Adjacency Lists
Applies to directed and undirected graphs.
An adjacency list representation provides a memory-efficient way of representing sparse graphs, so it is usually the method of choice.
Continue CLRS page 590.
Adjacency Matrices
Applies to directed and undirected graphs.
Cases when adjacency matrix representation is preferred:
- dense graphs.
- When we need to tell quickly if there is an edge connecting two given vertices.
Continue CLRS page 590.