DEFBGame DesignGUse the graph you drew to determine what is the minimum number of final exam times slots needed so that the people cantake all of their final exams.(Hint: Would a vertex coloring or an edge coloring be more useful here?)PsychologyHistoryEthicsLiteratureAIn the following table, indicate in which final exam time slot each class could be placed (i.e. 1,2, etc).SociologyReligion Graph theory can be used to help solve many real world problems. For example, we can use graph colorings to help ussolve situations like the one described below.There are 10 people enrolled in the Extended Learning classes as part of a summer study abroad program. They are takingthe classes as shown in the table.DarnalElsieMicaKianaBeatrixIgnacio Literature, Psychology, Game DesignHansReligion, EthicsEthics, History, LiteratureEthics, Game DesignPsychology, ReligionReligion, PsychologyHistory, ReligionLandry Literature, Sociology, ReligionJamieLiterature, EthicsCallie Psychology, Game Design, LiteratureThe host university needs to schedule final exams for these students and would like to use the minimum number of timeslots required. We can use graph theory to help us analyze this situation.We begin by making a graph using the data in the table. Draw the following graph on a piece of paper. In our graph, eachvertex represents one of the classes. Two vertices are connected if there is a student taking both of those classes. Notethat if a student is taking both of those classes, then those final exams cannot occur at the same time.

Given Information: Note the first letter of subjects as the vertex. Student Subject Darnal E,…

Answered: Use the graph you drew to determine…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Chess is a board game, where the board is made up of 64 squares arranged in an 8-by-8 grid. One of the pieces is a rook, which can move from its current square any number of spaces either vertically or horizontally (but not diagonally) in a single turn. Discuss how you could use graphs to show that a rook can get from its current square to any other square on the board in at most two turns. You’re encouraged to utilize relevant graph definitions, problems, and algorithms where appropriate.
How many edges will you have in a complete graph made of 40 vertices? Show all steps of your calculation.
. Sketch the complete graph with number of vertex 6.
Stuck need help! The class I'm taking is computer science discrete structures. Problem is attached. please view attachment before answering. Really struggling with this concept. Thank you so much.
In a high school class, there are students of different talents (ex. music, art, debate, sports, etc.). A committee needs to be formed consisting of the maximum number of students such that the committee is diverse – no two students with the same talent are in the committee. Transform this problem to a graph theoretic problem. What are the vertices of the graph? What are the edges of the graph? What do you have to find in the graph?
What is the minimum number of colors you need to color the vertices of this graph such that if two vertices are adjacent they receive different colors?
In 2011 the United States federal government decided that all businesses must pay their employees a minimum wage of $7.25 per hour. However, state governments could decide that businesses in their states should pay their employees more than the $7.25 per hour. Below is a graph of hourly minimum wage requirements for five states. Use the information provided in the graph to decide which of the following statements is NOT TRUE! New York's hourly wage requirement is about the same as the federal minimum wage requirement. The hourly wage in Ohio is more than $1 above the hourly wage in Minnesota. Oregon has the highest hourly wage requirement at over $8.00 per hour. The hourly wage in New York is more than double the hourly wage in Georgia.
Someone is thinking of a connected graph in the plane. It is made of 36 edges and cuts theplane into 18 regions. How many vertices are there?
Think of a list of six of your colleagues on Facebook and make a graph where each vertex is one of you 7 and an edge with those who are colleagues in that same place
Six student clubs need to hold meetings on the same day, but some students belong to more than one club. In order to avoid members missing meetings, the meetings need to be scheduled during different time slots. An “X” in the table. below indicates that the two corresponding clubs share at least onemember. Use graph coloring to determine the minimum number of time slots necessary to ensure that all club members can attend all meetings.

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