From efb4ea6f0396c3ee3ab2cf22efc7cee9190320a2 Mon Sep 17 00:00:00 2001 From: Orestis <orestis.malaspinas@pm.me> Date: Thu, 2 Jun 2022 10:04:38 +0200 Subject: [PATCH] ajout exemple kruskal --- slides/cours_27.md | 127 ++++++++++++++++++++++++++++++++++ slides/figs/kruskal_0.png | Bin 0 -> 55076 bytes slides/figs/kruskal_1.png | Bin 0 -> 61448 bytes slides/figs/kruskal_2.png | Bin 0 -> 61534 bytes slides/figs/kruskal_3.png | Bin 0 -> 61244 bytes slides/figs/kruskal_4.png | Bin 0 -> 61002 bytes slides/figs/kruskal_cycle.png | Bin 0 -> 62610 bytes 7 files changed, 127 insertions(+) create mode 100644 slides/figs/kruskal_0.png create mode 100644 slides/figs/kruskal_1.png create mode 100644 slides/figs/kruskal_2.png create mode 100644 slides/figs/kruskal_3.png create mode 100644 slides/figs/kruskal_4.png create mode 100644 slides/figs/kruskal_cycle.png diff --git a/slides/cours_27.md b/slides/cours_27.md index 3e560e9..10d649d 100644 --- a/slides/cours_27.md +++ b/slides/cours_27.md @@ -492,3 +492,130 @@ O(|V|) u, fp = défiler(file_priorité) # Algorithme de Kruskal +* On ajoute les arêtes de poids minimal: + * si cela ne crée pas de cycle; + * on s'arrête quand on a couvert tout le graphe. + +. . . + +* Comment on fait ça? + +. . . + +* Faisons un exemple pour voir. + +# Algorithme de Kruskal: exemple + +::: columns + +:::: column + +## Un exemple + + + +:::: + +:::: column + +## On part de `(a, d)` (poids le plus faible) + + + +:::: + +::: + +# Algorithme de Kruskal: exemple + +::: columns + +:::: column + +## On continue avec `(c, d)` + + + +:::: + +:::: column + +## Résultat + + + +:::: + +::: + +# Algorithme de Kruskal: exemple + +::: columns + +:::: column + +## On continue avec `(d, e)` + + + +:::: + +:::: column + +## Résultat + + + +:::: + +::: + +# Algorithme de Kruskal: exemple + +::: columns + +:::: column + +## On continue avec `(b, e)` + + + +:::: + +:::: column + +## Résultat + + + +:::: + +::: + +# Algorithme de Kruskal: exemple + +::: columns + +:::: column + +## Mais pourquoi pas `(c, e)`? + + + +:::: + +:::: column + +## Résultat: un cycle + + + +:::: + +::: + +* Comment faire pour empêcher l'ajout de `(c, e)` ou `(a, c)`? + +. . . + +* Si les deux sommets sont déjà couverts nous sommes sauvés (presque)! \ No newline at end of file diff --git a/slides/figs/kruskal_0.png b/slides/figs/kruskal_0.png new file mode 100644 index 0000000000000000000000000000000000000000..c413e3d52420a86b4323bef5baf0b4a2b987f0bb GIT binary patch literal 55076 zcmeAS@N?(olHy`uVBq!ia0y~yU^>RYz~suo#K6E1sJCni0|Ntdv6E*A2M5RPhyD*3 z7!(*hT^vIy=DfL^9y2*yoZ-Xd4X)cZO+OVR5OQVJ388?EO7D833m)ridzW=L%w;uG zUWg7~2+Nd(S8NY-a&+iKDoLlXc--Unzds{QLHXq513&8@Ouy6eTPE71{r8<}zSe^Y z3{D)1EdjR!PVzA*wg@=AWn3o0q1Ynuh}lO|z==cg2>Xm6g%$y)4t|5B4j>8n1g}Pr zgx!HDOdt(44VtVVBYrRhbF~OKaeSn{0h3bL8w8v<I&H1y{`>a!_M$~f3<(AjmX?;8 znVCm|!(w-rnVOhfxq5Z#lqoC>yu7@{#l>1%=l-ec2fOTwS7c;lVPWCLix&d}1LODC z<sRi(wQAM2ZQK0({FL4MOw7!lRks{+Ni>j1IS#g`_tdFVGiJ;<apJ^_7cb77@v%F1 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