1. Use the image below to answer the following questions. y es ez e1 e2 a. Name the vertices that are the endpoints of e,. w and z are the endpoints of e, b. Name the edge that is both incident with vertex w and z. c. Are vertices y and z adjacent? Why? d. Are vertices x and z adjacent? Why? e. The edge e, is also called е. f. What type of edges are e, and e ? Why?

Q: 4. Consider the following graph. ez es a. How many paths are there from v to vy? b. How many trails…

A: Image is attached with detailed solution.

Q: 0 1 1 0 0 0 0 0 1 1 1 1 1 1 1 1

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Q: For parts (a) and (b) below, find an Euler cireuit in the graph or explain why the graph does not…

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Q: b. a. d. c.

A: Solution:

Q: 2. How many edges has each of the following graphs: (а) (5 рoints) К10: (b) (5 рoints) K,7; (c) (5…

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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: 22.

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

Q: In exercises, a through d, give V, the set of vertices, and E, the set of edges for the graph G. d…

A: Since the question has 4 parts, we are supposed to answer only 2 parts. So solution is given for a…

Q: If the graph of y=mx+b passes through (3,7) and is perpendicular to the graph of y=−12x+5, then what…

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Q: 1. Explain the relationship between the number of faces and the number of edges in a triangulation.

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Which of the following graphs have Euler circults or Euler trals? OA: Has Euler trail. DA: Has Euler…

A: Solution: Given that

Q: Use the graph and the translation (x,y) → (x+ 3,y – 1) to answer parts a and b below. 10- Is 10 L10…

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Q: 4. Count the number of vertices, edges, and faces, and then verify Euler's Formula for the given…

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Q: V3 (V2 V5 V1 V4 (a) Which edges are incident on v,? (b) Which vertices are adjacent to v3? (c) Which…

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Q: Question 4 What is the minimum number of duplicated edges needed to create a good Eulerization for…

A: An Eulerian graph is a graph in which there is an Euler circuit. That is we can get a circuit that…

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

A: The graph of W5 is in next step

Q: 7. Please A. Draw the following graph B. Label any parallel edges Vertex Set: {v1, v2, v3, v4, v5,…

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Q: If the sum of the degrees in a graph is 18, then the number of edges is _____   a. 7     b. 9…

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Q: Given isosceles triangle ABC with vertices A(2, 0), B(3, 3), and C(4,0), graph both D(2.5,…

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Q: For the graph represented by the drawing below, find all edges that are incident on v1. ez e₂ VI…

A: We have to find all edges that are incident on v1.

Q: Draw the union of the two simple graphs assuming edges with the same endpoints are the same. а f b f…

A: To explain the correct answer is given below.

Q: What are the edges incident on v2? (b) What are the vertices adjacent to v2 ? (c) What are the…

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Q: Based on the graph below, what type of edges are eg and e,? e3 es eg e10 b. e12 e6 es e7 S a…

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Q: Consider the graph with the vertex set y (G, H,0,S,T} and the edge set E= {GH,GS,GT, HO,OT, ST).…

A: First we draw the graph from given vertex set and edge set.  Definition : In a graph, two edges are…

Q: Show that the two drawings represent the same graph by labeling the vertices and edges of the…

A: Consider the two given graph.Let imagine that the edges of the given graph are strings and the…

Q: Answer the questions in (a)-(g) for the following graph. (Enter your answers as comma-separated…

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Q: 4, Reflect the figure with the given vertices across the given line. P(-2, 3), Q(4, 3), R(-1, 0),…

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Q: Consider the following graph: V2 V, ei ez Vz es es es Vs Vy 1. Please give a walk from vị to v4 that…

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Q: А F В G E H. C D What is the minimal number of colors for the graph's vertices?

A: Graph coloring is a simplest way of labelling the graph components such as vertices, edges, and…

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

A: Explanation of the answer is as follows

Q: Show that for any planar graph, v – e + ƒ = 2. (Note that in the above example, we have v = 6, e =…

A: We will be solving Q.1 as mentioned. We need to prove that for a connected planar graph v-e+f=2,…

Q: Is vertex E adjacent to vertex C? F E Yes O No

A: We will find out the required solution .

Q: Fig.3 Fig.4 Fig.5 vs Fig.6 Fig.7 1. Find the number of vertices and the number of edges of the graph…

A: We will us figure 5 to calculate the number of vertices and number of edges in the given graph.

Q: OD

A: Remark: A path in a graph is a sequence of vertices with the property that each vertex in the…

Q: tices of ΔA'B'C produced by T−3, 6 (ΔABC) = ΔA'B'C?   A. A′(0, 6), B′(0, 4), C′

A: Introduction: The coordinates of the triangle is A3,0, B(3,-2), C(0,-3). We have to find the…

Q: Which edges shown on the graph to the right are not included in the following path? F. F. D. C, B, A…

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Q: Which of the following vertices are adjacent to vertex B? * E D O AC AEDC

A: We have to find adjacent vertices to B

Q: Which of the following is true for the undirected graph given below? be A. The cut vertices of the…

A: Given- Consider the given undirected graph, To Find- If threre are any cut vertices or it is…

Q: Which of the following edges do we need to add to make the following graph ergodic? 3 4 O 2->3 O…

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Q: In order to eulerize the graph below, give the fewest number of edges that need to be duplicated. a…

A: Label the vertices of the given graph. Next we use the process of eulerization of the graph by…

Q: Let ∆ABC have vertices at A = (0,0), B = (3,4), and C = (12,5).  Let ∆HFK have vertices at H =…

A: Let's find.

Q: In Exercises 9 to 12, determine whether the two graphs are equivalent. 10. B с A E D C D B E

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Q: Find the number of edges for each of the following graphs. a. Kn b. Km,n

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Q: Based on the graph below, are vertices z and x adjacent? es ez ez e10 eg es e12 e6 es e7 S True…

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Q: Which of the following vertices are adjacent to vertex D? A B F E ID O AC O AEDC O AEFC O AEDFC O…

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Q: 1. Which of the following letters represents the vertex in the following picture? D F G E 1. Dand E…

A: A line segment is a part or portion of a line that formed by joining the two points. A line segment…

Q: 2. For the given graph, the sum of degrees of all vertices is b h d A) 20 В) 18 C) 16 D) 10

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Q: The following figures show electronic circuits on a circuit board. The vertices represent fixed…

A: Remark: Planar graph:  A graph is said to be planar if it can be drawn in a plane so that no edge…

Q: 10. The vertices of figure QRST are translated 3 units left and 11 units down to form figure Q' R'S…

A: Given that the vertices of figure QRST are translated 3 units left and 11 units down to form figure…