From 2474f0349d5b314f33738a310f01d81325b6204e Mon Sep 17 00:00:00 2001 From: fede Date: Wed, 4 Sep 2024 12:49:58 -0300 Subject: [PATCH] casi va preso mauri --- Discreta/entrega1.org | 30 ++++++++++++++++++++++++++++++ Discreta/entrega1.pdf | Bin 741250 -> 706274 bytes Discreta/grafo8.png | Bin 0 -> 21229 bytes Discreta/imageej24.png | Bin 0 -> 27969 bytes Discreta/table.png | Bin 0 -> 34203 bytes 5 files changed, 30 insertions(+) create mode 100644 Discreta/grafo8.png create mode 100644 Discreta/imageej24.png create mode 100644 Discreta/table.png diff --git a/Discreta/entrega1.org b/Discreta/entrega1.org index c197b56..a1e8847 100644 --- a/Discreta/entrega1.org +++ b/Discreta/entrega1.org @@ -219,11 +219,35 @@ $Aristas = 3 * 2^{3-1} = 12$ * 10 - Indicar si existe un grafo regular con las siguientes características (dar un ejemplo o justificar la no existencia): +Un grafo puede ser regular cuando se cumple que:\\ + +$\frac{2|\textit{E}|}{|\textit{V}|}= k$ donde $k\in\mathds{Z}$\\ + +Además, siempre y cuando $|\textit{V}|>1$, un grafo regular puede ser dibujado sin búcles.\\ +Teniendo esto en cuenta: + ** a. 7 vértices y 7 aristas +$\frac{2\cdot{7}}{7}= 2$ \\ +2\in\mathds{Z}\\ +El grafo puede ser regular. + ** b. 7 vértices y 16 aristas + +$\frac{2\cdot{16}}{7}= 4,57$ \\ +4,57\notin\mathds{Z}\\ +El grafo no puede ser regular. + ** c. 3 vértices, 6 aristas, sin lazos +$\frac{2\cdot{6}}{3}= 4$ \\ +4\in\mathds{Z}\\ +El grafo puede ser regular. + ** d. 4 vértices, 6 aristas, sin lazos +$\frac{2\cdot{6}}{4}= 3$ \\ +3\in\mathds{Z}\\ +El grafo puede ser regular. + * 11 - Indicar para qué valores de n es regular: ** a. el grafo completo K_n @@ -382,6 +406,9 @@ el arbol recubridor del grafo 6 seria [[./ej23.png]] * 24 - Dibujar un grafo tal que admita un árbol recubridor con raíz de altura 1. Caracterizar los grafos tales que admitan un árbol recubridor de altura 1. + +[[./imageej24.png]] + * 27 - Considerar el grafo ponderado con matriz de pesos * 28 - Dada la siguiente matriz de pesos de un grafo, dar un árbol recubridor minimal, e indicar su peso. D= @@ -399,3 +426,6 @@ el peso es de 46. [[./ej28.png]] * 30 - Las conexiones entre las terminales de una red de 6 equipos se muestran en el grafo G8. También se indican los tiempos de transmisión de un mensaje de un equipo a otro. Hallar el camino por el que el equipo a debe transmitir un mensaje al equipo h en menor tiempo. + +[[./grafo8.png]] +[[./table.png]] diff --git a/Discreta/entrega1.pdf b/Discreta/entrega1.pdf index d1cef665d8f15697ed61792efc5857f50ce82f36..a56ce620eb0f1c4641afc23dea5264f4948f5b9a 100644 GIT binary patch delta 171557 zcmZs?1yEf}v@IH3gL`my4^D7*hu|LET{bSkEw}~^K|^o}?(XjH?(h~l=iGOHy-(Gy z>b<1b?AcSs7;6)d&9D(g7fYVZf{H*3`mH8ox5$jxx~s8A4Us^pbZXV~`%fjf7i1GV zKXr71r=-!8)Xm-PclrXkkbJ?a6C)*3F<)|l0qo83MLN@PXZ-we6F#a5SR|A%%xG<3M|#l|BOJxx8^jan_SsUEpc?z6TBt@9fJZVPr*fqShzA-O&&ohIs!h$c{HWGG3W> z!20D`cT(-Q4l`Z7xD_Zyw5wGs2HM}NUP^;4z-}T`8Hjy0WI=%;HdC_~)nhs4xB2F- z5wYbqW9ndEY8s#-g?G6lQQ#+^7^m6Vh|37`PzImI;gb$NTQxch!(Kl^HSohXiMDz% zoBt?{{%V+Y#-=X%5l^Z+@CH{~ekK+1M;`>O4w1jA>;#xBOEIc-GSaL?1<1+F{nM36 z9{$g?R^A)TN7ulmb-1p*XZI`S_%JaPsXv~K?I>k_+GF{8QMRX$skvzDj+lJ++$rT@ zlRB`14pObrpJEuHFRVzRkV*SgJq6KeFvj1dVi2e+m@ww9WLQ z!0#aQK(MGlCxeKN=lK#m9t@(KRjhf)S0}JkAk#pi((6wq6`*9|*+8;0SiEobQz6eq 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