Principles of Graphing Quiz
Test your knowledge of graph theory with questions on vertices, edges, Eulerian paths, chromatic numbers, and more.
#1
What is a graph in mathematics?
A visual representation of data
A type of algebraic equation
A geometric shape
A type of statistical analysis
#2
Which of the following is NOT a type of graph commonly used in mathematics?
Bar graph
Line graph
Circle graph
Rectangle graph
#3
In a graph, what do the vertices represent?
The lines connecting data points
The axes of the graph
The data points themselves
The labels on the graph
#4
What does the slope of a line on a graph represent?
The rate of change
The area under the curve
The y-intercept
The x-intercept
#5
What is the degree of a vertex in a graph?
The number of edges incident to it
The number of vertices adjacent to it
The number of loops attached to it
The number of connected components it belongs to
#6
In a directed graph, what do the edges typically represent?
Connections between vertices without direction
Connections between vertices with direction
Connections between vertices with labels
Connections between vertices with different colors
#7
What is a tree in graph theory?
A graph with no cycles
A graph with cycles
A graph with self-loops
A graph with multiple connected components
#8
Which of the following is NOT a property of a connected graph?
Every pair of vertices is connected by a path
There are no cycles
There may be isolated vertices
There are no edges
#9
What is an Eulerian path in a graph?
A path that visits every edge exactly once
A path that visits every vertex exactly once
A path that starts and ends at the same vertex
A path that visits every vertex and edge exactly once
#10
What is the chromatic number of a graph?
The maximum number of edges between vertices
The minimum number of edges between vertices
The maximum number of colors needed to color the vertices
The minimum number of colors needed to color the edges
#11
What is a Hamiltonian cycle in a graph?
A cycle that visits every vertex exactly once
A cycle that visits every edge exactly once
A cycle that starts and ends at the same vertex
A cycle that visits every vertex and edge exactly once
#12
What is the adjacency matrix of a graph?
A matrix representing the connections between vertices
A matrix representing the distance between vertices
A matrix representing the degree of vertices
A matrix representing the coordinates of vertices
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