Complexities of Graph Operations

Explore the time complexities of basic graph operations including adding and removing vertices and edges in both adjacency list and matrix representations. Learn how each structure impacts performance depending on graph manipulation needs, helping you optimize your JavaScript code for coding interviews.

We'll cover the following...

Time Complexities
- Adjacency List
- Adjacency Matrix
Comparison

Time Complexities

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

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	$O(1)$	$O(V^2)$

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1.Introduction to Complexity Measures

2.Introduction to Arrays

3.Introduction to Linked Lists

4.Introduction to Stack/Queues

5.Introduction to Graphs

6.Introduction to Trees

7.Trie

8.Introduction to Heap

9.Introduction to Hashing

10.Summary of Data Structures

Mock Interview

Complexities of Graph Operations

Time Complexities