Let E be the set of edges in the directed graph below, and let V be the set of vertices. Define a function h: E → V as follows: for any edge e E E, let h(e) be the vertex that edge e points at. Explain why this function is not onto. Be specific. y

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A: Graph theory. Draw the graph, maximum and minimum degree of the graph

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Q: Consider the following graph. • V(G) = {v1, v2, v3, v4}, e(G) = {e1, e2, e3, e4, e5}, E(G) = {(e1,…

A: Solution:

Q: Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5, e6} E(G) = {(e1,…

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Q: If A = {xeR: 2≤ x ≤5}, B = {xeR: − 2 ≤ x ≤ 1}, C = {xeR: -1 < x ≤ 1}. a) Sketch the graph of Cx…

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Q: Consider the graph G : O D Which of the graphs below is isomorphic to G? O A. B. H H F X V U Z…

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Q: 1. Define the following : Graph i) i) iii) iv) k-regular v) Bigraph Trail Girth

A: NOTE- As per our guidelines we are supposed to answer only one question. Kindly repost other…

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Q: Consider the following graph. • V(G) = {v1, v2, v3, v4} e(G) = {e1, e2, e3, e4, e5} E(G) = {(e1,…

A: Given Data: Let us consider the given data, VG=v1,v2,v3,v4eG=e1,e2,e3,e4,e5EG=e1,v1,v2,e2,v2,v3, e3,…

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Q: Prdlem 6.36 Pert B)

A: It is double Integral

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Q: Which of the following graphs are isomophic? (Choose two) F E E G D D H J J I A В E E G D H J J To…

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A: The two graphs are NOT isomorphic.

Q: The figure below shows a directed graph G: 3 4 Which edge is not in G 3. О а. (1, 3) O b. (2, 3) О…

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Q: Draw a directed graph for the relation R on the set {0, 1, 2, 3) given by 10. R = {(0, 1), (0, 2),…

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Q: Which of the following graphs are isomophic? L A M N I K 식물 I N L B H D

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Q: 1. Let X-(a,b,c} and T X={Ø,X,{a},{b},{a,B}}, (i) Write down all open subsets of X. (ii) Write down…

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Q: a. Let A= {0,1,2,3} and define a relation R on A as follows: R= {(0, 2), (0, 3), (2, 0), (2, 1)}. i.…

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Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

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Q: (b) Let A = {1,2,3}. Consider the relation R on A given by R = {(1,2), (1,3), (2,1), (2,3), (3,2)}…

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Q: Identify the directed graph that represents the relation {(a, a), (a, b), (b, c), (c, b), (c, d),…

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Q: Let A = {a, b, c, d} and define a relation R on A. The directed graph of the relation is shown here.…

A: We have: The relation is: R=a,c,b,a,c,d,d,b

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A: The statement "R is transitive" is false. {c,d} and {d,b}are edges of the graph. So c R d and d R b.…

Q: Show that for any planar graph, v-e+f=2. v=vertices e=edges f=faces

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Q: Let G = (V,E) be a connected graph, and u, v E V. The distance between u and v, d(u,v) is the length…

A: Solution :- Topic - Graph Theory