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Q: Consider the graph as shown in figure and determine the following: Pendant vertices, pendant edges,…

A: 1. Pendant vertices are d,e,f,g Pendant edges are ad edge,eb edge,fb edge,gb edge, Odd vertices are…

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: Which other teams did Team 4 beat and which teams beatTeam 4 in the round-robin tournament…

A: Given graph is Let the arrow direction P→Q denotes Team P beat Team Q.

Q: Consider the following graph, where each node is labelled with a letter, and each edge has a number…

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Q: 9. Find a planar drawing for the graph (B

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Q: In the graph to the right, which vertex(vertices) is(are) adjacent to vertex C? D. B. .... Choose…

A: Graph: A graph is defined as G = (V, E) Where V is a set of all vertices and E is a set of all edges…

Q: b. a. d. c.

A: Solution:

Q: A Triangle Graph, Tn, is a graph where there are n vertices beside each side of a triangle. Thesen…

A: If n is the number of vertices in a graph,Then the number of edges is C2n=n(n-1)2…

Q: Question 3 Draw a diagram representing the graph with the following vertices and edges V = {A, B, C,…

A: A graph is defined as a mathematical figure of a network and it shows the relationship between lines…

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: a bc b a c a bd e d ce e

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Q: 22.

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

Q: 0 0 1 1 0 0 0 0 0 1 1 0 0 1 0 10 10 1 0 1 0 1 0 (b) Figure 3: An undirected graph has 5 vertices.…

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Q: A в B D D E F Graph 1 Graph 2

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Q: 4. For each description, either draw a graph with the specified properties or explain why no such…

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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: determine whether the given graph is planar. If so, draw it so that no edges cross. 6. а b. 7. b. d…

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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: Question 7 Show that the two drawings represent the same graph by labelling the vertices and edges…

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Q: Which graph is Eulerian? А. D С. D. H. B.

A: To identify which graph is Eulerian.

Q: What vertices are on each level in this graph, if we take s = 2?

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Q: The following graph is not planar. a b d e

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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: There are _____ number of vertices in a graph 6 edges if each vertex is of degree 3.   a. 3…

A: From drawing the graph it is clear.

Q: B A D C

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

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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: 1. Consider the graph in Figure 1. Which of the following statements hold true for the graph? e1 es…

A: Here figure given below,

Q: Given the graph below: Are Side B and Side D are parallel, perpendicular or intersecting?

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Q: If a connected graph with 12 edges splits the plane into 4 regions, then how many vertices should…

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Q: Indicate if each of the two graphs are equal Figure 3: An undirected graph has 5 vertices. The…

A: To Find: Indicate if each of the two graphs are equal

Q: C D A B Consider the graph given above. Give an Euler path through the graph by listing the vertices…

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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: 4. How many edges in the union of the graphs in Fig.1 and Fig.5? a) 25 b) 23 c) 21

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Q: Which of the following graphs are bipartite? R OA OB I в I H OC OD

A: A graph is said to be a bipartite graph if it contains no odd cycle. In graph (A), there are two odd…

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: The ff. graph is planar: C a „h i 1,

A: The planar graph is the graph where the edges intersects only at the end points.  We we redraw the…

Q: Figure 1 below shows three different graphs. The graph in Fig. 1(a) is connected; the graph in Fig.…

A: A bridge in a connected graph G is an edge that keeps the graph connected. That is if we remove the…

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: 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: In a connected planar graph drawn with no intersecting edges, if there are 3 vertices and 8 edges,…

A: We can use the Eulers formula for the planar graph to find the number of faces.

Q: Model the following problem into a graph coloring problem: Each of the following five committees…

A: Given: Committee A={Smith, Jones, Brown, Green} Committee B={Jones, Wagner} Committee C={Harris,…

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

A: Euler Circuit:- It is a circuit that uses every edge in a graph with no repeats. Being a circuit, it…

Q: The amount of electricity used in a typical all-electric home is shown in the circle graph. If, in a…

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Q: Indicate if each of the two graphs are equal. Figure 1: Left: An undirected graph has 5 vertices.…

A: It is required to check if the given two graphs, first undirected graph in figure a and second the…

Q: For each problem, find the missing value of n, m, or f ( which ever is not given) assuming that the…

A: According to the given information, it is required to draw the connected planar graph for the given…

Q: For parts (a) and (b), indicate if cach of the two graphs are equal. Justify your answer. bc b a a…

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

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Q: How many vertices will the following graphs have, if they contain: (a) 18 edges and all vertices of…

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