2. How many edges in the subgraph induced by the set {c, a, d} of the graph in Fig.2? a) 7 b) 13 c) 5 d) 2 e) 0

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A: Hi, Thank you for the question. Since you have posted a question with multiple sub parts as per the…

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A: Given vertices of graph are S, T, U, V, W, X, Y  and edge set { {S,V}, {S,X}, {U,W}, {U,X}, {V,X},…

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A: We need to do part D Now, indegree is the number of edges coming in the vertex and outdegree is the…

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Q: Find the strongly connected components of this graph? * b O {a, b, c, d, e, f, g, h}. None of them.…

A: Answer : {a, b, c, d, e, h}, {f}, and {g}. Hence, option (vi) is correct.

Q: Consider a bipartite graph on the set A = {1,2,3, 4, 5, 6} and B = {7,8,9, 10, 11, 12}, there is an…

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Q: If the results of a two-factor experiment are presented in a line graph, then what pattern appears…

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Q: II. The table below lists five mobile phone companies and indicates whether they have agreements to…

A: Vertex is where two or more edges meet. The edge between two vertices represents the roaming…

Q: 3. Given four points, A, B, C, and D, no three of which are collinear and such that any pair of the…

A: NOTE:- AS PER BARTLEBY GUIDELINES WE ARE ANSWERING FIRST THREE QUESTIONS FOR YOU AS PER BARTLEBY…

Q: 2) True or False. Points A and L are corresponding vertices, points B and M are corresponding…

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Q: h a In the graph above, how many connected components are in the subgraph induced by each of the…

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Q: 9. Which edges could be re-used in order to find an optimal Eulerization of the following graph? (1)…

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Q: Consider the fuzzy graph on vertices a,b,c where o(a)=0.5,0(b)=0.25,0(c)=1 and…

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Q: Which one of the following is not a trail from vertex x to vertex y for the graph G=(V,E), if…

A: In graph theory,Trail is a open walk where vertices may repeat but edges can't .

Q: Question: Show that the Petersen graph, shown here, does not have a Hamilton circuit, but that the…

A: Solution :-

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: Use vertices to describe a path from vertex B to vertex G, passing through vertices A and I, as well…

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Q: Let a graph have vertices q, r, s, t, u, v and edge set {{q, s}, {r, v}, {s, v}, {t, u}} . On paper,…

A: Given: A graph has vertices q, r, s, t, u, v and edge set q, s, r, v, s, v, t, u. To find: a) Degree…

Q: 1. What are the vertices? 2. Is this graph connected? Explain. 3. What is the degree of vertex C? 4.…

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Q: Given a graph G = (V, E) such that V = {1, 2, 3, 4, 5, 6} and |E| = 10. Prove that there exists a…

A: Given - A Graph G = (V, E) such that V = { 1, 2, 3, 4, 5, 6} and E = 10 . To prove - There exists a…

Q: 3. How many vertices and how many edges do each of the following graphs have? | a) K4 a. C. c) W.

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Q: 1.) Given that a tree has 12 edges. Find the number of vertices of the tree. Explain your answer…

A: A tree with n vertices has n-1 edges. So it has 13 vertices.

Q: 13) The nearest-neighbor tour starting with vertex A is given by: A) A, B, D, C, A. B) A, B, C, D,…

A: The nearest neighbor algorithm: Choose any starting vertex. Whenever you reach any vertex, look at…

Q: (е) а C f е

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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: 9. Verify that Euler's formula does not hold for a graph that is not connected: count the vertices,…

A: Euler's formula for v vertices, e edges and f faces is: v-e+f=2 For the given graph we have vertices…

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

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Q: 1. Which of the next sets establish a bipartition of the graph in Fig.1? a) {a, h, g, b, f } and {i,…

A: Graph has an odd cycle which is a-e-c-a And if a graph contains odd cycle can not be bipartite.

Q: A figure has vertices D = (0,2), E = (3,5), F = (6,2), and G = (9,5). Which of the following is the…

A: Solution: The objective is to determine the classification for the given vertices

Q: Let A {1,2, 3} and R = {(1,1), (2, 1), (2, 3), (3, 2), (3, 3)}. The number of edges in the…

A: The given set is A={1,2,3} the relation  R is R=1,1,2,1,2,3,3,2,3,3 write the adjacency matrix…

Q: vertices

A: Given: A connected planar graph has fifteen edges and its planar representation divides the plane…

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A: NOTE : As per Bartleby guidelines, incase of multiple subparts, only first three are answered.…

Q: Two . vertices are joined by edges. ........ The ... graphs can be divided into two parts, such that…

A: Note: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts…

Q: (b) A planar graph has 10 edges and its dual graph has j edges, for some integer j. What is this j?…

A: Use the properties of planar graph and their dual graphs. Use the relation between the number of…

Q: Let a graph have vertices i, j, k, l, m, n and edge set {{i, j}, {i, m]}, {i, n}, {j, k}, {j, m},…

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Q: {V, E} be a graph where V = {a, b, c, d, is the set of vertices and E = {ab, ac, bc, de} is the set…

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Q: 4. Find the perimeter of rectangle MNOP with vertices M(-2, 5), N(-2, -4), O(3, –4), and P(3, 5). MN…

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Q: 2. Draw a graph with the following vertex and edge sets: (a) V = {a, b, c, d, e, f} and E = {ac, ad,…

A: (a). Given V = {a,b,c,d,e,f} and E = {ac,ad,ba,ef,dc,de} By using these graph is given by

Q: Let a graph have vertices n, o, p, q, r, s, t, u and edge set {{n,o}, {n,q}, {n,r}, {n, s}, {n, u},…

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Q: of edges in a circulant graph Circ[n, {k,l}] the comand CirculantGraph[n, {k,l}].

A: Given:- Circ[n,{k,l}] To find the number of edges in the circulant graph.

Q: 5(a) Oraw a simple graph based on the information in below: (IK, L,M) (CJ,k),(J.L), CK,L), (L,M) V O…

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Q: How many edges are contained on the following figure below? О 15 O 7 О 12 О 10

A: from the given figure, we have to find the number of edges used

Q: 4. A bipartite graph G with a bipartition (X, Y) is defined as follows: X = {a, b, c, d} Y = (u, v,…

A: This is a problem of Graph Theory.

Q: Let a graph have vertices H, TH,I}, {H, K}, {I, J}, {I, L},{ a. What is the degree of vertex H ? b.…

A: We have to solve given problem:

Q: 2. A graph has vertices of degrees 0, 2, 2, 3, and 9. How many edges does the graph have?

A: The Handshake theorem states that the sum of the degrees of the vertices of the graph  (that is, the…

Q: 2. The complement of a graph G = (V, E) is the graph G = (V, E) where E = {{x,y} | x, y = V(G),…

A: please comment if you need any clarification. If you find my answer useful please put thumbs up.…