Graph Theory Quiz

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10 Questions

What does a graph G(V, E) represent?

Set of vertices and set of edges

In an undirected graph, what is true about the edges?

Edges do not have any direction associated with them

What is the difference between a directed and an undirected graph?

In a directed graph, edges form an ordered pair

What is the total number of edges in the graph G(V, E) with 5 vertices and six edges?

10

What does a directed edge from A to B indicate?

There is a path from A to B but not from B to A

What is a graph in terms of vertices and edges?

A graph is an ordered set G(V, E) where V represents the set of vertices and E represents the set of edges.

What does a directed graph imply?

Edges form an ordered pair, indicating a path from one node to another but not necessarily the other way around.

What is the difference between a directed and an undirected graph?

In an undirected graph, edges have no direction associated with them, allowing traversal in both directions between nodes.

What does G(V, E) represent in a graph?

G(V, E) represents an ordered set where V represents the set of vertices and E represents the set of edges.

In a graph, what do the vertices and edges represent?

Vertices represent the nodes and edges represent the connections between the nodes.

Test your knowledge of graph theory with this quiz covering topics such as graph traversal, topological sorting, minimum spanning trees, and algorithms like Prim's, Kruskal's, and Dijkstra's. See how well you understand the definition of a graph and its components.

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