Graph Theory Questions Medium
The adjacency list representation of a graph is a data structure that is used to represent a graph as a collection of linked lists. In this representation, each vertex in the graph is associated with a list of its adjacent vertices.
To create an adjacency list representation, we can use an array of linked lists or an array of dynamic arrays. Each index in the array corresponds to a vertex in the graph, and the linked list or dynamic array at that index contains the adjacent vertices of that vertex.
For example, let's consider a graph with 4 vertices (A, B, C, D) and the following edges: (A, B), (A, C), (B, D), (C, D). The adjacency list representation of this graph would be:
A -> B -> C
B -> A -> D
C -> A -> D
D -> B -> C
In this representation, each vertex is represented by a linked list or dynamic array, and the adjacent vertices are stored as elements in that list or array. This allows for efficient traversal of the graph and easy access to the neighbors of each vertex.