Let a graph have vertices M, N,O, P,Q, R, S and edge set {{M,R}, {N,O},{O, S}, {P,R},{Q,R}, {R, S}} a. What is the degree of vertex M ? b. What is the degree of vertex O? c. How many components does the graph have?

Q: er a 4-regular undirected graph that has 5 vertices. How many edges are ther

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Q: How many edges does this graph have?

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Q: Consider a 4-regular undirected graph that has 5 vertices. How many edges are there?

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Q: If a graph has vertices of degrees 1, 5, 2, 3, and 3, how many edges does it have? Why?

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Q: 3. Determine the edge connectivity and the vertex connectivity of the following graph. Explain.

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Q: If G is a connected graph with no bridges, how many vertices of degree 1 can G have?

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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: 4. Edge FE is adjacent to which edges? 5. Does this graph have any bridges?

A: 2) 4. Recall: In a graph, two edges are said to be adjacent, if there is a common vertex between the…

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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: If a graph has 8 vertices, then what is its order? Answer:

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A: As per our guideline we are supposed to only one question rest can be reposted.

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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…

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A: Given the vertex set V={ A, B, C, D, E } and edge set E = { CD, CB, DA, DB, EA, AA }      “Since you…

Q: Draw a complete graph using five vertices a, b, c, d, e. (5)

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Q: C) Explain why there cannot exist a simple graph of order 11, where the vertices have degrees 1, 1,…

A: Given: A simple graph of order 11 where the vertices have degrees 1,1,2,2,2,2,3,4,4,6,6.

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Q: 9. (a) Draw a simple graph (no loops or multiple edges) with vertex degrees 2,3,3,3,4,4,4,5 (b) How…

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Q: Construct a graph with vertices S, T,U,V whose degrees are 2, 0, 2, 2 What is the edge set? ST SV TV

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Q: In a complete graph, if number of edges are 10, then the graph is: K2 K5 Kg K10 A Moving to another…

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Q: The diagram below shows a directed graph. b d a g f (a) What is the in-degree of vertex d? (b) What…

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