8. Suppose 1000 people enter a Tekken tournament. Use a rooted tree model of the tournament to determine how many games must be played to determine a champion, if a player is eliminated after one loss and games are played until only one entrant has not lost.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
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Intro to graph no. 8-10
8. Suppose 1000 people enter a Tekken tournament. Use a rooted tree model of the tournament
to determine how many games must be played to determine a champion, if a player is eliminated
after one loss and games are played until only one entrant has not lost.
9. For each course at a university, there may be one or more other courses that are its
prerequisites. How can a graph be used to model these courses and which courses are
prerequisites for which courses?
Should edges be directed or undirected? Looking at the graph model, how can we find
courses that do not have any prerequisites and how can we find courses that are not the
prerequisite for any other courses?
10. Describe a graph model that represents whether each employee at a company gathering
knows the name of each other person at the event.
Should the edges be directed or undirected?
Should multiple edges be allowed?
Should loops be allowed?
Transcribed Image Text:8. Suppose 1000 people enter a Tekken tournament. Use a rooted tree model of the tournament to determine how many games must be played to determine a champion, if a player is eliminated after one loss and games are played until only one entrant has not lost. 9. For each course at a university, there may be one or more other courses that are its prerequisites. How can a graph be used to model these courses and which courses are prerequisites for which courses? Should edges be directed or undirected? Looking at the graph model, how can we find courses that do not have any prerequisites and how can we find courses that are not the prerequisite for any other courses? 10. Describe a graph model that represents whether each employee at a company gathering knows the name of each other person at the event. Should the edges be directed or undirected? Should multiple edges be allowed? Should loops be allowed?
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