The goal is to introduce (basic) algorithms and data structures to solve problems on sequences, lists, trees and graphs, in efficient time and/or space. We will also deal with techniques for evaluating the complexity of algorithms and problems. Finally, we will experiment these algorithmic techniques by implementing some of them using the C language.
The student will be assessed on her/his demonstrated ability to discuss and put into practice the main topics presented during the course.
Methods:
Design basic algorithms and data structures, solve basic problems on sequences, trees and graphs, be able to analyze the complexity of algorithms and problems.
Oral and written exam plus a programming test in C language
Students will be able to appreciate the differences in designing iterative or recursive algorithms and which algorithmic design choices may positively or negatively impact in their efficiency.
Via the written and oral exam.
Basics of Maths.
Basic programming skills
Delivery: face to face
Learning activities:
Attendance: Advised
Teaching methods:
Details on the home page of the course.
Short introduction to computational issues: decidability and tractability (P, NP, NPC, EXP-TIME). Computational complexity: computation model, input and output size, decision tree, lower and upper bounds, worst and avarage case. Divide-et-impera; recurrence relations, fundamental theorem. Algorithms on static/dinamic sequences: search and sorting. Stable marrigies problem and maximum sum subsequence. Dynamic Programming: LCS, Partition and Backpack. Combination and permutation generation. Greedy: Knapsack and its variations. Trees representation and visit. Dictionaries: 2-3 trees, hash tables, trie. Randomized Algorithms: Quicksort, QuickSelect. Graphs: representation and visit (DFS e BFS), DAG and topological sorting.
T. Cormen, C. Leiserson, R. Rivest, C. Stein. Introduction to Algorithms. MIT Press, third edition, 2009.
Further bibliography will be indicated.
http://didawiki.di.unipi.it/doku.php/informatica/all-a/start
http://didawiki.di.unipi.it/doku.php/informatica/all-a/start