nswer the following questions about the rooted tree shown. For questions in which you need to list more than one vertex, list the vertices in alphabetical order and separate them with a comma.  1) Which vertix is the root? 2) What is the height of the graph? 3) What is the level of H? 4) List the children of B. If B has no chidren, write NONE. 5) What is the parent of K? 6) What are the sibling(s) of E? 7) What are the ancestor(s) of Q? 8) What are the descendant(s) of C? 9) List the leaves of the graph. 10) How many internal vertices does the graph have?

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A: Given

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A: A Java code is required here to find the lowest common ancestor. Algorithm: 1. Import the necessary…

Q: “All trees are graphs but all graphs are not tree” – justify your answer with proper example.

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Q: T is a tree with degrees of one vertex being 2, degree of one vertex being 3, and degrees of two…

A: The answer is discussed in the below step

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A: For the above graph adjacency list , adjacency matrix and DFS are in step 2.

Q: Consider the above rooted tree. 1. Which vertex is the root? 2. Which vertices are internal? 3.…

A: Here, we are going to find out different nodes as per asked in questions. A rooted tree have a root…

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Q: Any tree must be a simple graph O True O False

A: let's see the correct answer to the question

Q: Write a Java program to implement Depth First Search traversal for the following Graph.

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A: Here have to determine about the Range Diameter Sum programming problem statement.

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A: Spanning Tree               Spanning Tree is a Tree which has graph where all vertices covered with…

Q: Graph traversal on a graph always outputs a tree

A: 3. True

Q: Explain what a spanning tree is: a graph with no loops.

A: Introduction: Spanning Tree: A spanning tree is a subgraph of an undirected connected graph that…

Q: Exercise 6. A binary tree T has height 8. (Recall that the height of a tree is the number of edges…

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Q: For the next set of questions, consider the directed graph, G2, shown below. Assume that the…

A: The solution is given in the next step

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A: Lets see the solution.

Q: Originating at vertex C, how many tree subgraphs and spanning trees are present in this graph?

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A: Step 1:- a) The Ternary tree is defined as a  tree in which each parent node has at most 3 child…

Q: 4. (Matching): Consider the complete graph on n nodes, Kn. What is the size of the maximum…

A: A complete graph is a graph in which each pair of graph vertices is connected by an edge. The…

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Q: А B D E

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A: Defined the given statement true or false

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Q: This question is about the tree terminology and graph terminology.

A: a. If node H is the root of the tree, then the siblings of node I are M and N.  Explanation: Parent…

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Q: algorithm GenericSearch (G, s)  pre-cond: G is a (directed or undirected) graph, and s is one of…

A: given data: algorithm GenericSearch (G, s) pre-cond: G is a (directed or undirected) graph, and s…

Eight puzzle problem

The N-puzzle problem contains N tiles (N+1 including empty tiles) where the value of N can be 8, 15, 24, etc. The puzzle is divided into the square root of (N+1) rows and the square root of (N+1) columns. These problems have an initial state or configuration and a goal state or configuration. The puzzle can be solved by shifting the tiles one by one in the empty space. The objective is to place the numbers on the tiles to match the final state using the empty space. The other name for the N-puzzle problem is the sliding puzzle.