
Graph Theory Concepts Assessment

Quiz
•
Mathematics
•
12th Grade
•
Hard
Getachew Demessie
Used 1+ times
FREE Resource
15 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is a connected graph?
A connected graph is a graph where there is a path between every pair of vertices.
A connected graph has no edges between vertices.
A connected graph is a graph with at least one vertex.
A connected graph is a graph where all vertices are isolated.
2.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Define a complete graph.
A complete graph is a graph where all vertices are isolated.
A complete graph is a graph with only one vertex.
A complete graph has no edges between any vertices.
A complete graph is a graph where every pair of distinct vertices is connected by a unique edge.
3.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What is the difference between a walk and a path?
A walk is a straight line, while a path is a curved line.
A path can only be taken once; a walk can be taken multiple times.
A walk is a shorter route than a path.
A walk allows repeated vertices; a path does not.
4.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
How is the degree of a vertex defined?
The degree of a vertex is the total number of vertices in the graph.
The degree of a vertex is the number of edges incident to it.
The degree of a vertex is the average length of all edges connected to it.
The degree of a vertex is the maximum weight of the edges incident to it.
5.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
What characterizes a bipartite graph?
A graph that can be colored with three colors.
A graph with all vertices connected to each other.
A graph whose vertices can be divided into two disjoint sets with no edges within the same set.
A graph that contains cycles of odd length.
6.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Explain what a complete bipartite graph is.
A complete bipartite graph is a graph where no vertices are connected.
A complete bipartite graph has only one set of vertices.
A complete bipartite graph consists of three sets of vertices.
A complete bipartite graph is a graph that can be divided into two sets of vertices such that every vertex from one set is connected to every vertex in the other set.
7.
MULTIPLE CHOICE QUESTION
1 min • 1 pt
Can a complete graph be bipartite? Why or why not?
A complete graph is always bipartite regardless of the number of vertices.
Yes, a complete graph can be bipartite if it has three vertices.
A complete graph can be bipartite if it has an even number of vertices.
No, a complete graph cannot be bipartite if it has more than two vertices.
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