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Advanced algorithmics

1IAG2 Advanced algorithmics Computer Science - Apprentissage S6
Cours : 15 h TD : 14 h TP : 14 h Projet : 0 h Total : 43 h
Responsable : Christine Porquet
Pré-requis
Course "Programming and C language"
Course "Basics of algorithmics"
Course "Software development tools"

Objectifs de l'enseignement
- Go in depth into the basics of algorithmics learnt during the first semester by studying abstract data types for trees and graphs and the main algorithms to manipulate them.
Programme détaillé
- Study of the search / insert / delete algorithms in binary search trees, balanced trees, B-trees and n-ary trees.
- Representation of union-find sets by a forest of trees.
- Study of basic algorithms on directed graphs and undirected graphs: depth-first and breadth-first traversals, strongly connected components, minimum weight spanning tree (Prim and Kruskal), shortest path (Moore-Dijkstra).
All algorithms are analyzed and compared in terms of their complexity.

Applications (TD ou TP)
Examples of practical work :
- Depth-first and breadth-first traversal of binary search trees.
- Search / insertion / traversal of an n-ary tree of words.
- Depth-first and breadth-first traversal of undirected graphs and computing of their connected components.
- Topological sort.
- Scheduling of tasks by the Metra Potential Method (MPM).
Compétences acquises
- Mastery of the main abstract data types and their implementation in C language.
- Knowledge of algorithms on trees with analysis of their complexity.
- Mastery of some graph algorithms.
Bibliographie
- Introduction à l'algorithmique. T. Cormen et al., Dunod (1994)
- Types de données et algorithmes. C. Froidevaux et al., Mc Graw-Hill (1990)
- Algorithmes et structures de données en langage C. L. Ammeraal, InterEditions (1996)
- Algorithmes de graphes. P. Lacomme et al., Eyrolles (2003)
- Programmation en langage C. 3ème édition. S. Kochan, Pearson Education (2005)
- Le langage C, norme Ansi. B. Kernigham, Dunod (2000)

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