Data Structures: Unweighted Undirected Graphs

What is an Unweighted Undirected Graph?

An unweighted undirected graph is a data structure that extends Unweighted Graph by assuming all edges to be bidirectional. As an undirected graph, once an edge between vertex A and B is set, it meaks B will be connected to A as well.

How can it be implemented?

This data structure merely completes Unweighted Graph specification and defines no further operations. As a complete implementation, it must take a decision how to store vertexes inside. Options are same as those used in storing EDGES:

If Hash Table implementing Set solution is chosen, two more operations can be generalized for unweighted undirected graph, both executed in constant O(1) time:

Operation Arguments Returns Description
contains DATA boolean Checks if graph contains a vertex whose value equals that of input.
search DATA VERTEX Searches graph for a vertex whose value equals that of input.