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Complexities of Graph Operations

Explore the time complexities of fundamental graph operations such as adding and removing vertices and edges using adjacency lists and adjacency matrices. Understand which data structure is more efficient depending on whether your program frequently manipulates vertices or edges. This lesson helps you grasp key concepts required for optimizing graph algorithms in Java coding interviews.

Time Complexities

Below, you can find the time complexities for the 4 basic graph methods.

Note that in this table, V means the total number of vertices, and E means the total number of edges in the Graph.

Operation Adjacency List Adjacency Matrix
Add Vertex O(1) O(V2)
Remove Vertex O(V+E)
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