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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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Use the following graph for this problem. Where needed and not determined by the d) algorithm, assume that any algorithm begins at node A. 10 E 5 4 1 3 8. 1 6. F 5 Step through Dijkstra's Algorithm to calculate the single source shortest path from A to every other vertex. You only need to show your final table, but you should show your steps in the table below for partial credit. Show your steps by crossing through values that are replaced by a new value. [Ref. Graph in figure] Vertex Known Distance Path B D E G i) In what order would Dijkstra's algorithm mark each node as known? ii) iii) What is the shortest (weighted) path from A to G? What is the length (weighted cost) of the all shortest path

5:15
ull
17 May
Edit
10:35 AM
Use the following graph for this problem. Where needed and not determined by the
algorithm, assume that any algorithm begins at node A.
d)
10
B
E
4
3
6.
F
5
Step through Dijkstra's Algorithm to calculate the single source shortest path from A to every
other vertex. You only need to show your final table, but you should show your steps in the table
below for partial credit. Show your steps by crossing through values that are replaced by a new
value. [Ref. Graph in figure]
Vertex
Known
Distance
Path
A
В
G
In what order would Dijkstra's algorithm mark each node
What is the shortest (weighted) path from A to G?
What is the length (weighted cost) of the all shortest path
known?
ii)
iii)
is

3.
а)
Draw the contents of the hash table in the boxes below given the following conditions:
The size of the hash table is 12.
Open addressing and quadratic probing is used to resolve collisions.
The hash function used is H(k)= k mod 11
What values will be in the hash table after the following sequence of insertions? Draw the
values in the boxes below, and show your work for partial credit.
40, 25, 29, 23, 17, 35, 43, 13
1
2.
3
10
11
b) Give possible DFS traversals starting from node A of the graph below, printing the nodes
both as they are discovered and finished. Note that the graph is directed; for instance,
there is an edge from A to D but not from D to A.
A
E
S
F
H
c)
Use Prim's algorithm starting at node 6 to compute the Minimum Spanning Tree (MST) of graph.
28
2
10
14
16
7
3
24
18
25
12
5
4
22
B

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