All solve the problem Let us consider the following weighted graph.117.15F4.314109.17126.Select all that apply:O a. The minimum spanning tree does not exist.O b. A minimum spanning tree exists and has a total weight of 43OC. A minimum spanning tree exists and has a total weight of 42O d. A minimum spanning tree exists and has a total weight more than43O e. There exists more than one minimum spanning tree in this graph.TimeWe are given an array that contains N numbers. We want to determine if there are two numbers whose sum equals a given number K Iinstance, if the input is 8, 4, 1, 6 and K is 10, then the answer is yes (4 and 6). A number may be used twice.Select all that applyO a. If the elements are first sorted with mergesort, then the total cost of the solving algoritham is O(N log N)Ob.A brute-force search algorithm costs O(N)A brute force search algorithm costs O(N)Od. If the elements are first sorted with insertion sort, then the total cost of the solving algorithm is O(N log N)A minimum spanning tree of an indirect weighted graph G (with N nodes and E edges) is a tree formed from graph edges that connects all nodesof G at lowest total cost.Select all that applyO aKruskal's algorithm can solve this problem in E log E+ Eif intertion sort is used (to sort the edges)Ob Kruskal's algorithm can solve this problem in E+ E log Eif a heap structure is used.Oc Kruskal's algorithm can solve this problem in E log E+ Eif merge sort is used (to sort the edges).Od. In order to find the minimum spanning tree, the graph G should be connected.Oe Dynamic Programming is required to solve this problem.Ot. This problem can be solved using Kruskal's Algorithm. Let us consider the binary trees below.Bd)c)Select all that apply:O a.Tree in c) has the AVL (height-balanced 1-tree) property.O b. For tree d), if we remove node D, then the tree will have the AVL property.O. Tree in d) has the AVL propertyOd. For tree d), if we add a right child to node E, then the tree will have the AVL property.O e. Tree in c) will not have the AVL property, if a right child is added to node D.Let us consider the following program fragmentsum = 0;for (i=0;i

As per Bartleby guidelines I can solve the first question

A D 6. Select all that apply: O a. The minimum spanning tree does not exist. O b. A minimum spanning tree exists and has a total weight of 43 OC A minimum spanning tree exists and has a total weight of 42 O d. A minimum spanning tree exists and has a total weight more than43 O e. There exists more than one minimum spanning tree in this graph.

A D 6. Select all that apply: O a. The minimum spanning tree does not exist. O b. A minimum spanning tree exists and has a total weight of 43 OC A minimum spanning tree exists and has a total weight of 42 O d. A minimum spanning tree exists and has a total weight more than43 O e. There exists more than one minimum spanning tree in this graph.

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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Question

All solve the problem

Let us consider the following weighted graph.
11
7.
15
F
4.
3
14
10
9.
17
12
6.
Select all that apply:
O a. The minimum spanning tree does not exist.
O b. A minimum spanning tree exists and has a total weight of 43
OC. A minimum spanning tree exists and has a total weight of 42
O d. A minimum spanning tree exists and has a total weight more than43
O e. There exists more than one minimum spanning tree in this graph.
Time
We are given an array that contains N numbers. We want to determine if there are two numbers whose sum equals a given number K I
instance, if the input is 8, 4, 1, 6 and K is 10, then the answer is yes (4 and 6). A number may be used twice.
Select all that apply
O a. If the elements are first sorted with mergesort, then the total cost of the solving algoritham is O(N log N)
Ob.
A brute-force search algorithm costs O(N)
A brute force search algorithm costs O(N)
Od. If the elements are first sorted with insertion sort, then the total cost of the solving algorithm is O(N log N)
A minimum spanning tree of an indirect weighted graph G (with N nodes and E edges) is a tree formed from graph edges that connects all nodes
of G at lowest total cost.
Select all that apply
O a
Kruskal's algorithm can solve this problem in E log E+ Eif intertion sort is used (to sort the edges)
Ob Kruskal's algorithm can solve this problem in E+ E log Eif a heap structure is used.
Oc Kruskal's algorithm can solve this problem in E log E+ Eif merge sort is used (to sort the edges).
Od. In order to find the minimum spanning tree, the graph G should be connected.
Oe Dynamic Programming is required to solve this problem.
Ot. This problem can be solved using Kruskal's Algorithm.

Let us consider the binary trees below.
B
d)
c)
Select all that apply:
O a.
Tree in c) has the AVL (height-balanced 1-tree) property.
O b. For tree d), if we remove node D, then the tree will have the AVL property.
O. Tree in d) has the AVL property
Od. For tree d), if we add a right child to node E, then the tree will have the AVL property.
O e. Tree in c) will not have the AVL property, if a right child is added to node D.
Let us consider the following program fragment
sum = 0;
for (i=0;i<n;i++)
for (j=0;j<n*n;j++)
sum++;
O a. The program runs in O(1)
O b. The program runs in O(n^3)
O c. The program runs in O(n)
O d. The program runs in O(n^2)

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