Graphs -Multiple Choice Questions Quiz

Interactive MCQs on “Graphs”:

Solve the following 10 questions. Only one option is correct. Click on the “Submit” button when done. Click on the “embed” button to use this quiz on your website. Click on “WhatsApp” to share this quiz.

Question 1: What is a graph in the context of data structures?

(a) A visual representation of data points connected by edges
(b) A mathematical equation
(c) A sorted list of data elements
(d) A sequence of characters

Question 2: In a directed graph, what is the key characteristic of the edges?

(a) They have a weight associated with them.
(b) They have a direction from one vertex to another.
(c) They form a cycle.
(d) They have a label.

Question 3: What is the degree of a vertex in an undirected graph?

(a) The number of vertices in the graph
(b) The sum of weights of all edges connected to the vertex
(c) The number of edges connected to the vertex
(d) The total number of cycles in the graph

Question 4: What is a path in a graph?

(a) A cycle that starts and ends at the same vertex
(b) The shortest distance between two vertices
(c) A sequence of edges that connects a series of vertices
(d) A disconnected subgraph within the main graph

Question 5: In a weighted graph, what do the edge weights represent?

(a) The number of edges between two vertices
(b) The cost or distance associated with traversing the edge
(c) The direction of the edge
(d) The number of cycles in the graph

Question 6: What is a cycle in a graph?

(a) A path that connects all vertices exactly once
(b) A path that starts and ends at the same vertex
(c) A disconnected subgraph
(d) A graph with no edges

Question 7: What is the minimum number of vertices required in a graph to form a cycle?

(a) 1
(b) 2
(c) 3
(d) 4

Question 8: What is the difference between a simple graph and a multigraph?

(a) Simple graphs have fewer vertices than multigraphs.
(b) Multigraphs have multiple edges connecting the same pair of vertices, while simple graphs have only one edge between any two vertices.
(c) Multigraphs have more cycles than simple graphs.
(d) Simple graphs have weighted edges, while multigraphs do not.

Question 9: What is the chromatic number of a graph?

(a) The maximum degree of any vertex in the graph
(b) The minimum number of colors needed to color the vertices of the graph such that no two adjacent vertices have the same color
(c) The total number of edges in the graph
(d) The number of connected components in the graph

Question 10: What is the complement of a graph?

(a) The graph obtained by reversing the direction of all edges
(b) The graph obtained by adding all missing edges between non-adjacent vertices
(c) The graph obtained by removing all edges between adjacent vertices
(d) The graph obtained by adding a new vertex to the original graph