From 37146c4762687d734de3083bc9a3b3a7d25e09d0 Mon Sep 17 00:00:00 2001 From: ldartois Date: Wed, 28 Feb 2024 12:06:52 +0100 Subject: [PATCH] ok --- TP/TP3.md | 96 -------------------------------------- TP/TP4.md | 67 -------------------------- TP/WelshPowell.png | Bin 99294 -> 0 bytes TP/dijkstra.png | Bin 68691 -> 0 bytes TP/fonctionsAide.c | 85 --------------------------------- TP/parcoursLargeur.png | Bin 106096 -> 0 bytes TP/parcoursProfondeur.png | Bin 90114 -> 0 bytes TP/prim.png | Bin 87240 -> 0 bytes 8 files changed, 248 deletions(-) delete mode 100644 TP/TP3.md delete mode 100644 TP/TP4.md delete mode 100644 TP/WelshPowell.png delete mode 100644 TP/dijkstra.png delete mode 100644 TP/fonctionsAide.c delete mode 100644 TP/parcoursLargeur.png delete mode 100644 TP/parcoursProfondeur.png delete mode 100644 TP/prim.png diff --git a/TP/TP3.md b/TP/TP3.md deleted file mode 100644 index dad218f..0000000 --- a/TP/TP3.md +++ /dev/null @@ -1,96 +0,0 @@ -TP Graphes 3 : Parcours et Coloration -============ - -Le TP est prévu pour être fait en utilisant le codage des graphes à l'aide de matrices d'adjacence. -Pour plus de clarté, vous pouvez utiliser un nouveau fichier, en copiant les structures et fonctions nécessaires depuis les TPs précédants. - -- - - - - -Exercice 1 : Parcours en largeur ----------- - -Pour cet exercice, vous aurez besoin de file FIFO (First In, First Out). -Vous pouvez par exemple utiliser la classe [`LinkedList`](https://docs.oracle.com/en/java/javase/11/docs/api/java.base/java/util/LinkedList.html), instanciée pour les entiers avec `LinkedList`. -Pour utiliser une LinkedList en tant que file FIFO, vous pouvez utiliser les méthodes : -``` -public boolean isEmpty() : Returns true if this collection contains no elements. -Integer remove() : Retrieves and removes the head (first element) of this list. -boolean offer​(E e) : Adds the specified element as the tail (last element) of this list. -``` - -**Question :** - -Ecrire une fonction qui, étant donnés un graphe g et un sommet v de ce graphe, renvoie sous forme de file FIFO l'ensemble des voisins de v dans g : -``` -public LinkedList getVoisins(int i); -``` - -![Parcours en Largeur](parcoursLargeur.png) - -**Question :** - -Ecrire une fonction effectuant le parcours en largeur d'un graphe g à partir d'un sommet v. -On pourra se contenter d'afficher sur la sortie standard la numérotation ainsi que les distances obtenues, plutôt que de les renvoyer : -``` -public void parcoursLargeur(int v) -``` - -**Question :** - -Tester sur un graphe (au hasard celui des frontières). Cela correspond-t-il à une exécution manuelle de l'algorithme ? - - -- - - - - -Exercice 2 : Parcours en profondeur ----------- - -Pour implémenter le parcours en profondeur d'un graphe, nous aurons besoin d'une pile. -La classe `LinkedList` permet également de simuler des piles, avec les méthodes : -``` -public boolean isEmpty() : Returns true if this collection contains no elements. -Integer pop() : Pops an element from the stack represented by this list. -void push​(int i) : Pushes an element onto the stack represented by this list. -``` - - -**Question :** - -Ecrire une fonction effectuant le parcours en profondeur d'un graphe g à partir d'un sommet v. -On pourra se contenter d'afficher sur la sortie standard la numérotation de premier passage plutôt que de les renvoyer : -``` -public void parcoursProfondeur(int i); -``` - -![Parcours en Profondeur](parcoursProfondeur.png) - -**Question :** - -Tester sur un graphe (au hasard celui des frontières). Cela correspond-t-il à une exécution manuelle de l'algorithme ? - -**Question :** - -Adaptez votre code pour également calculer, puis afficher, la numérotation de dernier passage. - -- - - - - -Exercice 3 : Algorithme de Welsh-Powell ----------- - -On va implémenter l'algorithme de Welsh-Powell de coloriage glouton des graphes. -Les premières questions visent à donner des fonctions aidant à l'implémentation de l'algorithme. A vous de les suivre ou non. - -**Question : Liste des sommets selon leur degré** - --Créer une fonction `private int[] tableauDegre();` renvoyant un tableau où la case i contient le degré du sommet i. - --Créer une fonction `private int indiceMax(int[] tab);` renvoyant l'indice de la plus grande valeur du tableau tab. - --En utilisant les deux premières fonctions, créer une fonction `private LinkedList listeDegre()` renvoyant une liste des sommets classés selon leur degré. - -**Question** - -![Algorithme de Welsh-Powell](WelshPowell.png) - -**Question** - -Enfin, implémentez l'algorithme de Welsh-Powell. - -Indice : Vous aurez besoin de la liste des sommets triés selon leur degré. On peut retirer un élément i donné de la liste l avec `l.remove((Integer) i)`. \ No newline at end of file diff --git a/TP/TP4.md b/TP/TP4.md deleted file mode 100644 index 625e1a9..0000000 --- a/TP/TP4.md +++ /dev/null @@ -1,67 +0,0 @@ -TP Graphes 4 : Plus Court Chemin et Arbre Recouvrant Minimal -============ - -Le TP est prévu pour être fait en utilisant le codage des graphes à l'aide de matrices d'adjacence. -Pour plus de clarté, vous pouvez utiliser une nouvelle classe, en copiant les structures et fonctions nécessaires depuis les TPs précédants. - - -- - - - - -Exercice 0 : Graphes valués ----------- - -Nous avons enrichi nos graphes avec une valuation des arêtes. - -**Question :** - -Comment intégrer cela à notre structure de données ? - - -Quel fonction(s) faut-il modifier pour prendre en compte cet enrichissement ? - -**Question :** - -Créez une nouvelle classe GraphesValues.java contenant la structure et les primitives nécessaires à la manipulation des graphes valués. - - -- - - - - -Exercice 1 : Algorithme de Dijkstra ----------- - - - -L'algorithme de Dijkstra renvoie deux données : la fonction d donnant la distance minimale entre la source et un sommet, et la fonction père donnant la direction à prendre pour atteindre cette distance minimale. - -**Question :** - -Une fonction des sommets vers un entier (ou un autre sommet) sera représentée par un tableau où la case i contient la valeur de la fonction pour i. - -Nous souhaitons cependant renvoyer deux fonctions. Comment modéliser cela ? - -**Question :** - -Implémentez l'algorithme de Dijsktra, que je redonne ci-dessous : - -![Algorithme de Dijkstra](dijkstra.png) - - -**Question :** - -Testez votre algorithme en reprenant le graphes des frontières avec des valuation de votre choix. -Vérifier à la main que l'algorithme effectue les bons calculs. - - - -- - - - - -Exercice 2 : Algorithme de Prim ----------- - -Pour simplifier l'implémentation, on se contentera d'afficher sur la sortie standard les arêtes sélectionnées. On renverra tout de même la valuation totale de l'arbre couvrant. - -![Algorithme de Prim](prim.png) - - -**Question :** -Implémentez l'algorithme de Prim. 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cX=calloc(g.ordre,sizeof(int)); - int* cY=calloc(g.ordre,sizeof(int)); - for(i=0;ivaleur],cY[read->valeur]); - read=read->suivant; - } - } -*/ - Touche(); - FermerGraphique(); - -} - - - -//Aides matrices -//Creation matrice carrée vide : -int** creerMatriceId(int taille){ - int** res=calloc(taille,sizeof(int*)); - for(int i=0;if&JXF*0nC-x3r`X5&|{?6ciMai10UAD5zJeP*5*t;9$XL_EwXJzz6sr z!YVdUP{TLYfUmTGM86yZzEhiJ}T+FS9}5Ovb4SG z)YiD2Vsq4JxVU_aRKV|tZ2S)H)r((WKED0;hqxfS&AwMRtAEVFt6XJU3&b!bbRrP)Fm1kS4L-PO$yMT|)=~@uM zX;xN2q+w?MBrdN_OgpJmcJp_fx z$u?8J6-=1v5qx@Ky2(%n)M^v1sMYAqM*NgjRN|Ai_a$9*2%DczNz=n+#^`CKqy#sv3o za6$oV+h2sA!iA(#_Hg$n>d+WTf})?MO+N9^|JsRD{-dh{2amMgQEP+CX@fjT$yq@8 z$PykG)p5P-9(iAXgOWC7gh}s&U`V4G5#ly-ZQg}M;9FT)31dp~7M13O7r(GPg@{a6 z#Q13m-H+8i1z)Ko@gze0pLLZc4Ey!J9iu1>>D(kNX-%A6Mz@QKAL#B`%?gXG?5ui+ zDH4P0QC=!n+u=YpE**G^A-^)l-|XKVFqcZ@&ap>2#-0AeK@tPjTwGio_b5w@@vmj7 z*&7$@_St@=OlPH%J&|jg_!ctGLe9>nw5BU;)`C|#n%y?WM=OyV3qfsZ7XOAlQ-?4P0a`xM(>-cVH& 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