Given the following graph:the state-space tree is generated by a backtracking algorithm for the ham-circuit problem with ties broken alphabetically.Which node experienced the first backtracking (i.e. the leftmost leaf) ? (A node is identified by its path from the root)A a,b̟c̟e̟f̟d̟aWhich node experienced the third backtracking ? (A node is identified by its path from the root)B. a,b,c,f,dv How many nodes are in the state-space tree until the solution is found?C. a,b,c,e,f,dv The ham-circuit found isD. 12E. a,b,d,f,e,c,aF. a,e,c,f,d,b,aG. 14Н.9I. 10J. a,b,d,f,c,e,aK. b,d,f,c,e,a,bL a,b,c,f,e

An array path[V] that should contain the Hamiltonian Path. path[i] should represent the ith vertex…

Given the following graph: the state-space tree is generated by a backtracking algorithm for the ham-circuit problem with ties broken alphabetically. Which node experienced the first backtracking (i.e. the leftmost leaf) ? (A node is identified by its path from the root) Which node experienced the third backtracking ? (A node is identified by its path from the root) How many nodes are in the state-space tree until the solution is found? The ham-circuit found is

Given the following graph: the state-space tree is generated by a backtracking algorithm for the ham-circuit problem with ties broken alphabetically. Which node experienced the first backtracking (i.e. the leftmost leaf) ? (A node is identified by its path from the root) Which node experienced the third backtracking ? (A node is identified by its path from the root) How many nodes are in the state-space tree until the solution is found? The ham-circuit found is

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Suppose we do a BFS on a connected undirected graph G and T is corresponding depth-first tree. if we remove from G all the cross edges with respecr to T the result will just be a tree. True or False?
a) Draw the connected subgraph of the given graph above which contains only four nodes ACGB and is also a minimum spanning tree with these four nodes. What is its weighted sum? Draw the adjacency matrix representation of this subgraph (use boolean matrix with only 0 or 1, to show its adjacency in this case).b) Find the shortest path ONLY from source node D to destination node G of the given graph above, using Dijkstra’s algorithm. Show your steps with a table as in our course material, clearly indicating the node being selected for processing in each step.c) Draw ONLY the shortest path obtained above, and indicate the weight in each edge in the diagram. Also determine the weighted sum
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Given the following AVL tree, if node 83 is deleted, how many rotations are needed to obtain an AVL tree again? Draw the tree after each rotation. An AVL tree may become unbalanced when a node is deleted. In general, how many sub-trees will be re-balanced in the worst case when an item is deleted from an AVL tree? Explain your answer. An AVL tree may become unbalanced when a node is inserted. In general, what is the maximum number of rotations that must be performed to rebalance the tree due to an insertion? Explain your answer.
Suppose that we have a tree, and we know its pre-order and in-order traversals as follows: Pre-order traversal:1 2 4 7 3 5 6 8 In-order traversal:4 7 2 1 5 3 8 6 a) Plot this tree (tip: you can validate your tree by checking its pre-order and in-order traversals to see if they are matched to the traversals given in the question)? b) Give the post-order traversal of this tree?
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Suppose that we have an estimate ahead of time of how often search keys areto be accessed in a BST, and the freedom to insert them in any order that we desire.Should the keys be inserted into the tree in increasing order, decreasing order of likely frequency of access, or some other order? Explain your answer.
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