From 49279c0f46e082a1d978bc564a96003fb7705c89 Mon Sep 17 00:00:00 2001 From: Orestis <orestis.malaspinas@pm.me> Date: Mon, 23 May 2022 23:16:56 +0200 Subject: [PATCH] finished dijkstra. need to do floyd --- slides/cours_25.md | 32 ++++++++------------------------ slides/figs/exemple_neg.png | Bin 0 -> 48434 bytes 2 files changed, 8 insertions(+), 24 deletions(-) create mode 100644 slides/figs/exemple_neg.png diff --git a/slides/cours_25.md b/slides/cours_25.md index 45e9ade..eb6e6a0 100644 --- a/slides/cours_25.md +++ b/slides/cours_25.md @@ -523,31 +523,15 @@ distance, précédent dijkstra(graphe, s, t):  -# Complexité de l'algorithme de Dijkstra? +# Limitation de l'algorithme de Dijkstra -\footnotesize +## Que se passe-t-il pour? + +{width=50%} + +## Quel est le problème? . . . -```C -distance, précédent dijkstra(graphe, s, t): - distance[source] = 0 - fp = file_p_vide() ----------------------------------------------- - pour v dans sommets(graphe) - si v != s -O(V) distance[v] = infini - fp = enfiler(fp, v, distance[v]) ----------------------------------------------- - tant que !est_vide(fp) -O(V) u, fp = défiler(fp) - ---------------------------------------------- - pour v dans voisinage de u - O(E) n_distance = distance[u] + w(i, v) - si n_distance < distance[v] - distance[v] = n_distance - fp = changer_priorité(fp, v, n_distance) - ---------------------------------------------- ----------------------------------------------- - retourne distance -``` +* L'algorithme n'essaiera jamais le chemin `s->x->y->v` et prendra direct `s->v`. +* Ce problème n'apparaît que s'il y a des poids négatifs. diff --git a/slides/figs/exemple_neg.png b/slides/figs/exemple_neg.png new file mode 100644 index 0000000000000000000000000000000000000000..56fe75a23580b955eb62487b9aa3c7a97874bdb2 GIT binary patch literal 48434 zcmeAS@N?(olHy`uVBq!ia0y~yV6tOiU|h|?#K6GdFU&QKfq{Xuz$3Dlfr0M`2s2LA z=96Y%P+;(MaSW-5dowq){PvDX-x=TCGWY&8Yin_O)wJ)Q|JoloV_E#%=I+aqUBbs_ 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