For each pair of graphs, determine whether or not they are exactly the same or not. Give sufficient explanation using colors or structure of the graphs if they are not the same. a.) b.)

Q: Graph the image of the polygon after the reflection in the given line. 7. х-ахis y B C A

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Q: Which of the following graphs has seven vertices and exactly one bridge? O A. O B.

A: In this question, concepts of Vertices and Bridges are used. Vertices and Bridges A graph is made up…

Q: Is the following graph planar? If so, redraw the graph as a plane graph. b d

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Q: Suppose a graph G has 15 vertices and 38 edges. Which of the following statements is true? O 1. G…

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Q: Decide whether the following statement is true of false. Prove your answer: If two graphs have the…

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Q: What is the chromatic number of the planar graph representing this map? A B G D E F K J M

A: now In this given graph the maximum vertex part of graph is either F or I (with 7 vertices each) Now…

Q: In fig,draw a complete graph so that it has the type of symmetry indicated.

A: Given:  To determine: The complete graph so that it has the type of symmetry indicated.

Q: each furicion graphed below, state whether it is one-to-one. 8- 6+ 6- 4+ 4- 2- 2- 2- -8-6 4 4 6 -8…

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Q: Can the following graphs drawn in plane without edge crossings? a

A: Given: Graphs, To determine: Whether the given graphs can be drawn without crossing.

Q: What is the chromatic number and the clique number of a Knm graph? Your answer may depend on the…

A: Here Km,n is complete bipartite graph.

Q: What is the chromatic number of each graph?

A: Introduction: The chromatic number of a graph G is the least number of colors required to color all…

Q: Count the number of vertices, edges, and faces, and then verify Euler's Formula for the given graph.

A: Given the graph we have to calculate the number of vertices, edges and faces then verify the Euler’s…

Q: Show that the graph is planar by finding a planar drawing E. b. e C. of

A: To show that the graphs are planar by finding a planar drawing. Pre-requisite : A Planar graph is a…

Q: 22.

A: Note: As per bartleby instruction when more then one question is given only one has to be answered.…

Q: Determine whether the graph is connected. Which vertices are odd? Which vertices are even? А

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Q: Assume you have a graph with vertex set V = {A, B, C, D, E} and edge set E = {CD, CB, DA, DB, EA,…

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Q: What is the chromatic number of this graph?

A: Given a graph. To find the chromatic number.

Q: Classify each of the following graphs as a circle, lemniscate, rose, or limaçon. (a) (b) (c)

A: Introduction: Polar curves help us grasp how to graph equations in a coordinate system other than…

Q: 7. х-ахis y B C A D

A: Solution-

Q: Show, by drawing, that the following graphs are planar: the wheel W5;

A: The graph of W5 is in next step

Q: Give an example of a graph with an infinite number of vertices that has a finite chromatic number.…

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Q: What is the chromatic number of the following graph? B A H G E F 1. O 4 2. О 5 3. О З 4. O 2

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Q: Consider the graph given above. Give an Euler trail through the graph by listing the vertices in the…

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Q: In which of the following graph can red or blue be assigned to the vertices such that no two…

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Q: The points, if any, at which a graph crosses or touches thecoordinate axes are called______

A: Axis is the line that forms the framework for a graph. the horizontal axis is called the x-axis, the…

Q: Which of the following graph is Eulerian? * de

A: A graph has an Euler circuit if and only if the degree of every vertex is even. A graph has an Euler…

Q: Label each vertex with proper colors (or numbers) and provide the chromatic numbers of each of the…

A: Chromatic number of graph:  The chromatic number of a graph is the minimal number of colours needed…

Q: (A) If A = {x E R: – 1<x< 2}, B = {x € R: 0 < x < 1}, C = {x € R: 1< x < 2}, The sketch the graph of…

A: That's easy, have a look.  Have a great day!!!

Q: What will be the chromatic number of the following graph? a. 1 b. 5 c. 4 d. 2

A: To Determine :-  The chromatic number of the following graph :

Q: Do What is the degree of vertex C?

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Q: What is the chromatic number of each graph? ← ← → -

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Q: Indicate if each of the two graphs are equal. a b a a bde d e e |c d (a) Figure 1: Left: An…

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Q: Consider the following pairs: (1,2), (2,-2), (3,1), (-2,1), (-3,-2), (1,1) Nhich of these pairs is…

A: Answer and explanation is given below...

Q: Give your answer as a list of vertices, starting and ending at vertex A. Ex

A: Here first we start from vertex A , and go to the other vertex whose weight is least , then from…

Q: Fill in each blank so that the resulting statement is true. A connected graph has even vertices A,…

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Q: What is the chromatic number of each graph? ▶ D →

A: Solution for graph Chromatic number: Chromatic number of the graph is the smallest number of colors…

Q: QUESTION 3 How many edges would a complete graph have if it had 6 vertices? О 25 30 O 20 O 15

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Q: Which of the following is/are  non-Eulerian graph? a. Graphs B C D ONLY b. Graphs B C D E c.…

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Q: What is t

A: 1. Given,

Q: Represent the following with a graph. MT ID WY NV UT có AZ NM

A: The representation of the graph is

Q: Which vertices are adjacent to vertex A in the graph? B Which vertices are adjacent to vertex A in…

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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: Show that the graph is planar by finding a planar drawing. 00

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Q: For each undirected graph in Exercises 3–9 that is notsimple, find a set of edges to remove to make…

A: Given That : Unidirectional graphs are given that may or may not be simple  To Find : A set of edges…

Q: What is the vertex chromatic number and edge chromatic number of the graph given below

A: This is a problem of Grapg Theory.

Q: Consider the following sets V = {vo, V1, V2, V3, V4} and a set of vertices A simple graph can be…

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Q: What is the chromatic number of the following graph? A H D E F

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Q: The chromatic number of the given graph is (a) 2 (c) 4 (b) 3 (d) 5

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Q: a. If this graph is planar, demonstrate Euler's formula; otherwise, explain why it's not planar. K…

A: Given: A graph To determine: a) Whether given graph is planer. If it is planner then demonstrate…

Q: Which of the following graphs are not trees? M'VA b d

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