What are the different types of graph data structures?

What are the different types of graph data structures?

There are several types of graph data structures, including adjacency matrix, adjacency list, edge list, and incidence matrix. Each has its own use cases and advantages.

Can you explain the adjacency list in more detail?

Sure! An adjacency list represents a graph as an array of lists. Each index in the array corresponds to a vertex, and each list at that index contains the vertices that are adjacent to it.

What are the pros and cons of using an adjacency matrix?

The adjacency matrix is easy to implement and allows for quick edge lookups, but it can be space-inefficient for sparse graphs since it uses O(V^2) space, where V is the number of vertices.

When should I use an edge list?

An edge list is useful when you want to represent a graph with a simple list of edges, especially in algorithms that process edges directly, like Kruskal's algorithm for minimum spanning trees.