(Planar Graphs) a. I have a tree T whose average vertex degree is exactly 1.99. Find |V(T)|. Show all of your work, include complete details ,and write complete sentences. b. Draw all possible trees with four vertices. Hint: There are not very many. c. Prove that K5 is not planar. Justify all of your work, include complete details, and write complete sentences. d. Prove that G = K2,3 is planar by drawing a plane embedding of G.

Q: 27. Apply Kruskal's algorithm to find the minimum spanning tree. Answer by drawing the edges you use…

A: the answer is given below ;

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A: Answer :

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A:

Q: From of these graphs are not trees a) b) d)

A: To determine which of the following graphs are not trees.

Q: From of these graphs are not trees a) b) d) f)

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Q: The number of spanning trees from the following graph are a

A: The answer is given in the steps below.

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Q: 2- Write three spanning trees for the following graph 1. 4.

A: three spanning trees for the above graph is in step 2.

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A:

Q: Objectives - Write a program to calculate minimum spanning tree using Kruskal's algorithm The graph…

A: Given:

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A:

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A:

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A: The solution for the questions has been written in step 2

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A: I have answer this  question in step 2.

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Q: A) Let A={1,2, 3, 4, 5} and T = {(5, 1), (4, 2), (1, 3), (1,4)}. Find the root and height of the…

A:

Q: 43. Find a Steiner tree of the graph K, with the vertices b, j, d, h by listing the edges that form…

A: According to the information given:- We have to find the Steiner tree of the graph K5

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A: The following solutions are

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A: The answer is

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