
Graph Theory Concepts and Tournaments

Interactive Video
•
Mathematics
•
11th - 12th Grade
•
Hard

Thomas White
FREE Resource
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7 questions
Show all answers
1.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the main topic of the video series introduced in the transcript?
Calculus
Statistics
Algebra
Graph Theory
2.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In the context of directed graphs, what are arcs?
Unordered pairs of vertices
Loops
Ordered pairs of vertices
Symmetric edges
3.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
How is the distance between two vertices in a graph defined?
The longest path between them
The sum of all paths between them
The shortest path with the least number of edges
The number of vertices between them
4.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is a tournament in graph theory?
A graph where every pair of vertices has a directed edge one way
A graph with symmetric edges
A graph with no edges
A graph with only loops
5.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
In a tournament, what is the maximum possible distance from a vertex with the most outgoing arcs to any other vertex?
Three
Four
One
Two
6.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What does the theorem about maximum outgoing arcs in a tournament state?
The distance is at least four
The distance is always three
The distance is at most two
The distance is exactly one
7.
MULTIPLE CHOICE QUESTION
30 sec • 1 pt
What is the relationship between outgoing and ingoing arcs in a tournament?
Outgoing arcs are unrelated to ingoing arcs
Outgoing arcs are equal to or greater than ingoing arcs
Outgoing arcs are always more than ingoing arcs
Outgoing arcs are always less than ingoing arcs
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