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?

Q: Describe a graph model that represents whether each personat a party knows the name of each other…

A: According to the given information, it is required to describe a model that represent whether each…

Q: Prove that there must be at least two vertices with the same degree in a simple graph

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Q: A square with two diagonals drawn is a complete graph. True False

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Q: Suppose the city of Königsberg had the arrangement of islands and bridges pictured on the left…

A: Given map is

Q: The number of even degree vertices in a simple graph must be even. O true O false

A: To state true or false given statement.

Q: Could I get some assistance with the attached question and how to draw a graph as well?

A: For part i: It is required to construct a table of values with x increments of 0.5 and is in between…

Q: Draw any graph that is not simple.

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Q: Show that in a simple graph with at least Two vertices there must be two vertices that have the same…

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Q: If a simple disconnected graph has 7 vertices and 2 connected components what is the maximum number…

A: Given question is If a simple disconnected graph has 7 vertices and 2 connected components what is…

Q: A graph consisting only of a vertex is a complete graph. True False

A: Recall:  The complete graph on zero/one nodes is a trivial graph also known as the null…

Q: Draw a simple disconnected graph with 3 vertices.

A: The given problem is related with graph theory. We have to draw a simple disconnected graph with 3…

Q: A simple graph with 3 vertices

A: Now,  we have to  draw a  simple graph , with 3 vertices: The above shown is an example of a simple…

Q: d. Add up all the indegrees, and add up all the outdegrees. What do you notice? Can you explain why…

A:

Q: Consider the floor plan below that has five rooms and twelve doors. a. Represent this as a graph…

A: The doorways of the graph represent the edges of the graph and the rooms and outside are the…

Q: Describe a graph model that represents the positive recommendationsof movie critics, using vertices…

A: To Describe : We have to form a graph model that represents positive recommendations of critics to…

Q: The of a vertex is the number of edges along the unique path between it and the root.

A: Rooted TreesA rooted tree is a tree in which one vertex has been designated as the root and every…

Q: When is the resulting graph very misleading in graphing software?

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Can you sketch an undirected graph whose sum of its degrees is 17? If so, sketch the graph, and…

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Q: For each course at a university, there may be one or more other courses that are its prerequisites.…

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Q: What is the vertex of this graph ?

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Q: If we have two different non-crossing drawings of the same connected graph, is it possible for the…

A: The given question is related with planar graphs. Suppose we have two different non-crossing…

Q: If G1 is a simple graph with 20 edges and G has 25 edges, how many vertices does G1 have?

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Q: Use the pigeonhole principle to prove that a graph has at least two vertices with the same degree

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Q: If you reverse all the edges of a directed graph, the strongly connected components remain the same.…

A: STATEMENT: If we reverse all the edges of a directed graph , the strong connected components remain…

Q: The of a vertex is the number of edges along the unique path between it and the root . Child Degree…

A: Here we are given the definition from graph theory. We have to fill the blank with appropriate word…

Q: . What is the order and size of the join of two graphs?

A: Given: To explain the given statement is given as,

Q: Could there be a graph with four vertices of degree 1,2,5 and 4? Explain why no such graph exists or…

A: To verify whether a graph with 4 vertices of degree 1,2,5 and 4 exist or not.

Q: Represent the map by a graph in which the vertices correspond to countries and the edges indicate…

A: For the given map we draw a vertex in each country as shown below

Q: A simple graph is _____.

A:

Q: Write an example of three graphs (each with 4 vertices), two of them are isomorphic and two are…

A: We will draw three graphs on four vertices among which two are isomorphic and two are non…

Q: ou are working in an organization and it's your primary responsibility to understand the below graph…

A: An edge e is said to be incident on a vertex v if e has one of its endpoints as v. In the given…

Q: Explain why it is not possible to draw a planar graph that contains three faces  and the same number…

A: For any planar graph to exist it should satisfy the Euler formula which is given by - v + f = e + 2…

Q: The graph with 5 vertices and four edges is always connected. TRUE OR FALSE

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Q: What are the vertices of ARUVafter being translated 2 units nght and 2 units down? Graph

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Q: Describe a graph model that represents a subway systemin a large city. Should edges be directed or…

A: To sketch: A graph model that represents a subway system in a large city. To check: The edges should…

Q: This refers to the number of edges incident to a particular vertex. Answer:

A: Explanation of the answer is as follows

Q: Label the vertices of the second graph so that it is equivalent to the first graph.

A: Given graphs are,

Q: Is it possible to have a graph that only has the form of a "simple graph"? Like it will not have a…

A: A simple graph is a graph having no loops or parallel edges. It also do not posses any directions…

Q: A graph with 4 vertices.

A: This question is related to Descrete Mathematics

Q: Write an example of three graphs (each with 4 vertices), two of them are isomorphic and two are…

A:

Q: A simple graph with 2 vertices

A: To draw: A simple graph with two vertices. Graph: The graph having two vertices is shown below:

Q: Does each of these lists of vertices form a path in the following graph? If yes, what are the…

A: We know path is a sequence of {finite or infinite} edges that joins the vertices Length is the…

Q: What are the steps for the construction of graph?

A: The step to construct the graph is described below: Identify the variables. Determine the variable…

Q: Select the graph which satisfies all of the given conditions.

A: f'(-3)=f(2)=0 The points where first derivative is zero -3 and 2 are critical points where maximum…

Q: The sum of the degree of vertices of a graph is always an even number.

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Q: Suppose there are ten Middlebury College students in a room. One of those ten is friends with all of…

A: We are given the following information, There are 10 students in a room. One of them have…

Q: Find a self-complementary graph with 8 vertices.

A: We know the definition of Complement of a graph, The complement of a graph G is a graph G' on the…

Q: se at a ses tha are its prerequisites. How can a graph be used to model these courses and which…

A: Since you posted 2 questions here, i can answer only one. Please repost Q 10 again. Thank you

Q: Think of a list of six of your colleagues on Facebook and make a graph where each vertex is one of…

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