Exercise 1 (2The table below specifies the distances between some connected cities.Cities12345678AssignmentDesign and Analysis of Algorithms11002502150311042705200620719081301- Draw the undirected graph showing the connections between cities.2- Based in the undirected graph of question 1, use a greed algorithm approach to find the shortesttour that connects all the cities. This tour should not contain any cycle. You must show all thecomputing steps.Exercise 2The longest palindromic subsequence problem is a classic variation of the Longest CommonSubsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X,reverse(X)) and the longest common subsequence will be the longest palindromic subsequence.1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programmingalgorithm to compute the longest palindrome sequence and it is length. You must show all thecomputing steps.

An undirected graph is a type of graph in which the edges are bidirectional, meaning they can be…

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undirected 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

Exercise 1 (2
The table below specifies the distances between some connected cities.
Cities
1
2
3
4
5
6
7
8
Assignment
Design and Analysis of Algorithms
1
100
250
2
150
3
110
4
270
5
200
6
20
7
190
8
130
1- Draw the undirected graph showing the connections between cities.
2- Based in the undirected graph of question 1, use a greed algorithm approach to find the shortest
tour that connects all the cities. This tour should not contain any cycle. You must show all the
computing steps.
Exercise 2
The longest palindromic subsequence problem is a classic variation of the Longest Common
Subsequence (LCS) problem. The idea is to find LCS of the given string with its reverse, i.e., call LCS(X,
reverse(X)) and the longest common subsequence will be the longest palindromic subsequence.
1- We consider the sequence X = ABBDCACB. Apply the appropriate dynamic programming
algorithm to compute the longest palindrome sequence and it is length. You must show all the
computing steps.

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