se at a ses tha 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?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter9: Systems Of Equations And Inequalities
Section9.3: Systems Of Inequalities
Problem 30E
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Intro to graph 9-10
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: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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