Euler Circuits and Paths
Interactive Video
•
Mathematics, Science
•
9th - 12th Grade
•
Practice Problem
•
Hard
Sophia Harris
FREE Resource
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10 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the primary condition for a graph to have an Euler circuit?
The graph is connected.
All vertices have even degree.
All vertices have odd degree.
The graph is a tree.
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In Fleury's Algorithm, where do you start if you are finding an Euler path?
Any vertex with even degree.
Any vertex with odd degree.
One of the two vertices with odd degree.
The vertex with the highest degree.
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the first step in Fleury's Algorithm when finding an Euler circuit?
List all edges.
Check if the graph is connected.
Start at any vertex.
Choose any edge to start.
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
After deleting edge AB, which vertex do you move to next?
Vertex C
Vertex A
Vertex B
Vertex D
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
Why can't you delete edge EA in the example provided?
It would create a loop.
It would separate the graph into two disconnected sets.
It is not part of the circuit.
It is the only edge left.
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What should you do if deleting an edge would separate the graph?
Delete it anyway.
Choose another edge.
Add a new edge.
Start over.
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the sequence of edges deleted after reaching vertex D?
DA, AB, BC, CD
DC, CB, BE, EA
DC, CE, EB, AD
DE, EC, CB, BA
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