Indicate if each of the two graphs are equal Figure 3: An undirected graph has 5 vertices. The vertices are arranged in the form of an inverted pentagon. Moving clockwise from the top left vertex a, the other vertices are, b, c, d, and e. Undirected edges, line segments, are between the following vertices: a and c; a and d; d and c; and e and b.

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

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Q: a) 72 b) 36 c) 144 d) 60 Let G be a graph with 12 vertices each of degree 6, then how may edges are…

A: We know that , G is said to be a graph if it has vertex set V and edge set E. We have given that , G…

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

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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: Given a graph defined by the following vertex set and edge set, V={A,B,C,D,E,F) E=(AB,BC,BE,…

A: Introduction: The link between lines and points is described by a graph, which is a mathematical…

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: Figure 6: An undirected graph has 9 vertices. 6 vertices form a hexagon, which is tilted upward to…

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

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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: A в B D D E F Graph 1 Graph 2

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Q: For a complete graph, match the number of Hamilton circuits for a given vertices. n = 3 n = 4 6 n =…

A: Hamilton Circuit : A circuit that must pass through each vertex of a graph once and only once. Being…

Q: Refer to the undirected graph provided below: Figure 6: An undirected graph has 9 vertices. 6…

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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: a b a lc a bde Ce e

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Q: What vertices are on each level in this graph, if we take s = 2? 2 5 6

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Q: Which graph is inverted O y = 1+x^2 O y = 1-x^2 O y = x^2-1 O -y 1-x^2

A: Graph of quadratic function

Q: b a d

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Q: illi. Graph A Graph B Graph C

A: We will tell you about shape of the graph.

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

A:

Q: Determine the sum of the in-degrees and out-degrees of each graph shown in Figure 1. Show the…

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

A: To identify which graph is Eulerian.

Q: Refer to the undirected graph provided below Figure 6: An undirected graph has 9 vertices. 6…

A: The above graph is undirected graph simple with a q verticesand 12 edges and 6 vertices A,B,E,I,F…

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: Represent the following with a graph. Which vertices are adjacent to vertex C in the graph? A B. O A…

A: In a graph, two vertices are said to be adjacent, if there is an edge between the two vertices. i.e.…

Q: The edges in a graph can be drawn as straight or zigzag lines. Select one: O True O False

A: A graph is a collection of edges and vertices. Any two vertices can be joined either by straight…

Q: This graph G is shown below with the circles representing the vertices labeled A, B, C, and D. Which…

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

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

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: 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: Figure 10: An undirected graph has 7 vertices, a through g. 5 vertices are in the form of a regular…

A: An Euler path is a path that uses every edges in graph and no repeats. Being a path, it doesn't have…

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: Indicate if each of the two graphs are equal. a bc a c a b de d. ce e (a) Figure 1: Left: An…

A: .     Figure 1

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

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Q: Given a graph defined by the following vertex set and edge set, V={A,B,C,D,E, F) E=(AB,BC,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: (iv) Give an example of a closed walk of length four in the graph that is not a circuit. (v) Give…

A: Given: