Consider the four lists of characteristics. Select the one list for which a tree can be created that meets the characteristics. Full binary tree, eight internal vertices, seven terminal vertices Binary tree, height four, one terminal vertex Full binary tree, sixteen vertices Completely populated, full binary tree with an odd number of terminal vertices

Q: Question 1 A minimum spanning tree of a connected weighted graph G is a spanning tree of G whose…

A: Q1. A spanning tree for a connected graph G is a tree containing all the vertices of G. There exist…

Q: Recall the complete bipartite graph K_(m,n).. Draw K_5,3 Determine the number of vertices in…

A: Given: Complete bipartite graph of km,n

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A: We can write an algorithm like given below

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A: Let us write the graph by labelling the vertices as,It is clear that the graph is not a complete…

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Q: In each part, either draw a graph with the given specifications or explain why no such graph exists.…

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Q: Using either algorithm, find the total weight of a minimum spanning tree for the graph below: 22 8…

A: Kruskal’s Algorithm: 1. Sort all the edges in a increasing order of their weight. 2. Pick the…

Q: The total degree of a tree with m vertices is (2m-2). True O False

A: •The degree of a vertex v of a graph G is the number of edges incident on v with self loop…

Q: What is the number of isomorphism classes of graphs with 6 vertices and 3 edges

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Q: 5. Use Kruskal's algorithm to determine a minimum spanning tree with minimum total weight. 6.

A:

Q: Propose a partial order on a non-empty finite set so that it has 3 maximal elements and two minimal…

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Q: Determine the least number of comparison needed to sort four elements and draw a binary tree that…

A: Given four elements A, B, C and D. By the theorem: There are at least log n! comparisons are…

Q: Compute the number of spanning trees in graphs H and K that are given below. Graph H Graph K Number…

A: The given graph isIt is clear that the graph is not a complete graph. We follow the below steps to…

Q: Draw the graphs of all nonisomorphic trees on six vertices.

A: We have to draw the graphs of all nonisomorphic trees on six vertices.

Q: In your own words, explain the division algorithm. Pick two examples that you would use in class to…

A: Division algorithm is nothing but a algorithm which just defines our divisions by a algorithm,…