From 6c7403b9d22a966c5e8b6f8f548ffcb676e7290e Mon Sep 17 00:00:00 2001 From: clemens Date: Tue, 27 Jun 2017 22:38:06 +0200 Subject: [PATCH] SNA-ASM ws15/16 --- .../WS 2015-2016.tex | 96 ++++++++++++++++++ .../graphs-2015/.graph6.dot.swp | Bin 0 -> 1024 bytes .../graphs-2015/graph1.dot | 34 +++++++ .../graphs-2015/graph1.png | Bin 0 -> 47576 bytes .../graphs-2015/graph2.dot | 6 ++ .../graphs-2015/graph2.png | Bin 0 -> 12321 bytes .../graphs-2015/graph3.dot | 32 ++++++ .../graphs-2015/graph3.png | Bin 0 -> 56851 bytes .../graphs-2015/graph4.dot | 19 ++++ .../graphs-2015/graph4.png | Bin 0 -> 44433 bytes .../graphs-2015/graph5.dot | 19 ++++ .../graphs-2015/graph5.png | Bin 0 -> 42950 bytes .../graphs-2015/graph6.dot | 24 +++++ .../graphs-2015/graph6.png | Bin 0 -> 43607 bytes 14 files changed, 230 insertions(+) create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/WS 2015-2016.tex create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/.graph6.dot.swp create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph1.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph1.png create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph2.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph2.png create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph3.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph3.png create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph4.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph4.png create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph5.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph5.png create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph6.dot create mode 100644 SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/graph6.png diff --git a/SNA-ASN-M Analyse sozialer Netzwerke/WS 2015-2016.tex b/SNA-ASN-M Analyse sozialer Netzwerke/WS 2015-2016.tex new file mode 100644 index 0000000..b3fed76 --- /dev/null +++ b/SNA-ASN-M Analyse sozialer Netzwerke/WS 2015-2016.tex @@ -0,0 +1,96 @@ +\input{../settings/settings} + +\begin{document} + + klausur{Analyse Sozialer Netzwerke}{Prof. Dr. Fischbach}{Wintersemester 15/16}{??}{?} + + \begin{enumerate} + \item Aufgabe 1: Pflichtaufgabe, 25 P\\ +Das CERT des Bundesstaates Missouri koordiniert die Krisenmanagementaktivitäten im gesamten Bundesstaat. +Dazu gehört unter anderem die Abstimmung der regionalen Krisenstäbe, die unter der Leitung des CERT eigenverantwortlich das Krisenmanagement vor Ort übernehmen. + +Um die Zusammenarbeit zwischen den Krisenstäben in den einzelnen Regionen zu verbessern, hat das CERT mithilfe von Interviews Informationen über das alltägliche Kommunikationsverhalten der Mitarbeiter erhoben. +\autoref{img:graph1} zeigt einen Ausschnitt aus dem entsprechenden Kommunikationsnetzwerk. +Die befragten Mitarbeiter sind Mitglieder der regionalen Krisenstäbe in den Fünf Regionen A bis E. +Zwei Mitarbeiter haben immer dann eine gemeinsame Kante, wenn sie sich im Alltag regelmäßig über berufloiche Angelegenheiten austauschen. +\image{1}{graphs-2015/graph1}{Kommunikationsnetzwerk}{img:graph1} +\begin{enumerate} + \item Welche Mitarbeiter nehmen eine Schlüsselrolle im Kommunikationsnetzwerk ein? +Begründen sie ihre Antwort mit Bezug auf Netzwerkstrukturen, die sie in der Veranstaltung kennengelernt haben, und diskutieren sie mögliche Auswirkungen auf den Informationsfluss im Netzwerk (15 Punkte) + \item[] Das CERT geht davon aus, dass sich die alltägliche auch auf das Kommunikationsverhalten im Krisenfall auswirkt, unter anderem da Mitarbeiter zu ihnen bekannten Personen bereits ein Vertrauensverhältnis aufgebaut haben. +Um die Kommunikation im Krisenfall zu verbessern, möchte das CERT daher regelmäßig Telefonkonferenzen zwischen Mitgliedern der einzelnen Krisenstäbe einführen. +Dabei soll jeweils ein Mitarbeiter aus jedem regionalen Krisenstabteilnehmen. + \item Welche Mitglieder der regionalen Krisenstäbe aus \autoref{img:graph1} sollten vordringlich ausgewählt werden, um bestmögliche Ergebnisse zu erzielen? +Begründen sie ihre Antwort und diskutieren sie die Vor- und Nachteile der von ihnen gewählten Lösung (10 Punkte) +\end{enumerate} + \item Aufgabe2: Pflichtaufgabe, 25P\\ +Die folgenden drei Formeln repräsentieren aus der Veranstaltung bekannte Zentralitäten: +\begin{equation}\label{eq:equat1} Ce_i^?(g)= \frac{d_i(g)}{n-1} \end{equation} +\begin{equation}\label{eq:equat2} Ce_i^?(g)= \frac{n-1}{\sum_{j\neq i}l(i,j)} \end{equation} +\begin{equation}\label{eq:equat3} Ce_i^?(g)= \sum_{k\neq j;i\notin \{k,j\}}\frac{\frac{P_i(kj)}{P(kj}}{\frac{(n-1)(n-2)}{2}} \end{equation} + \begin{enumerate} + \item Ordnen sie die Formeln den entsprechenden Zentralitäten zu. +Beschreiben sie dabei jede Zentralität in ein bis drei Sätzen mit eigenen Worten (5 Punkte) + \item Berechnen sie für jeden Knoten des Netzwerks aus \autoref{img:graph2} die drei Zentralitäten (13 Punkte) + \end{enumerate} +\image{.25}{graphs-2015/graph2}{Ein einfaches Netzwerk}{img:graph2} + Eine weitere Zentralität ist die sogenannte Decay Centrality. +Sie wird durch folgende Formel beschrieben: +\begin{equation}\label{eq:equat4} Ce_i^{decay}= \sum_{j\neq i}^{\delta l(i,j)} \end{equation} +Dabei entspricht $\delta$ einem Wert im Bereich $1>\delta >0$. +Die Funktion $l(i,j)$ entspricht, wie in \autoref{eq:equat2}, der kürzesten Distanz zwischen zwei Knoten $i,j \in N$. + \begin{enumerate} + \item[c)] Erklären sie die Decay Centrality in eigenen Worten in Abhängigkeit von $\delta$ und $l(i,j)$. +Wie lässt sie sich mit der Zentralität aus \autoref{eq:equat2} vergleichen? +Welcher Zentralität nähert sich die Decay Centrality an, wenn $\delta$ auf einen Wert nahe 0 festgelegt wird? (7 Punkte) + \end{enumerate} +\item Aufgabe 3: Wahlaufgabe, 20 Punkte + +Ein Freund hat mitbekommen, dass sie sich für soziale Netzwerke interessieren. +Er hat eine Studie zu Freundschaftsnetzwerken mitgebracht, über die Farbe ausgelaufen ist. +Wie in \autoref{img:graph3} ersichtlich, sind einige Beziehungen unklar (gestrichelte Kanten). +Der zugehörige Artikel beschreibt 28 Kanten, es sind aber nur 27 erkennbar. +Sie zeigen, wie man mit Wissen über häufig auftretende Netzwerkstrukturen fehlende Informationen wiederherstellen kann. +\image{1}{graphs-2015/graph3}{Soziale Netzwerk}{img:graph3} +\begin{enumerate} + \item Welche der vier möglicherweise verdeckten Kanten ist ihrer Meinung nach mit höchster Wahrscheinlichkeit die fehlende Kante? Begründen sie ihre Antwort (5 Punkte) + \item[] Nach dieser Demonstration will der Freund, dass sie für sein soziales Netzwerk neue Bekanntschaften vorhersagen. +Durch ein Empfehlungssystem sollen Mitglieder mit vohergesagten gegenseitigem Interesse aneinander vorgeschlagen werden. + \item Entwerfen und beschreiben sie ein Verfahren, mit dessen hilfe Mitglieder der Social Network Site potentiell interessante Bekanntschaften vorgeschlagen werden können. +Treffen sie dabei Annahmen über verfügbare Profil- und Netzwerkdaten. +Begründen sie, warum ihr Verfahren Empfehlungen liefert, die für Mitglieder interessant sind. +Greifen sie dazu auf Theorien und Phänomene zurück, die die in der Veranstaltung kennengelernt haben (15 Punkte) +\end{enumerate} + \item Aufgabe 4: Wahlaufgabe, 20 Punkte + +Die Strukturen empirisch beobachteter sozialer Netzwerke lassen in bestimmten Fällen auf soziale Phänomene und die ihnen zugrunde liegenden zwischenmenschlichen Prozessen schließen. +In der der Veranstaltung haben sie unter anderem die Small-world-Eigenschaft kennengelernt. +\begin{enumerate} + \item Definieren sie die small-world-eigenschaft (3 Punkte) + \item Nennen sie drei Beispiele für empirisch beobachtete soziale Netzwerke, an denen sich die small-world-eigenschaft beobachten lässt. +Erklären sie stichpunktartig, warum die von ihnen gewählten Beispiele diese Eigenschaften aufweisen. +Höchstens ein Beispiel darf aus dem Bereich der Online Social Networks stammen (6 Punkte) + \item Welche Mechanismen sind für die Entstehung von small-world-netzwerken verantwortlich? +Beschreiben sie den Entstehungsprozess und gehen sie dabei auf die Rolle der von ihnen genannten Mechanismen ein (7 Punkte) + \item Small-world-Netzwerke werden häufig mit einem hohen Clustering in Verbindung gebracht. +Berechnen sie sie den individuellen Clustering-Koeffizienten für die Knoten $E$ und $L$ in \autoref{img:graph4} (4 Punkte) +\end{enumerate} +\image{.25}{graphs-2015/graph4}{Netzwerk}{img:graph4} +Hinweis: Für ein Netzwerk $(N,g)$ wird das individuelle Clustering $Cl_i(g)$ für einen Knoten $i \in N$ wie folgt berechnet: +\begin{equation}\label{eq:equat5} Cl_i(g)= \frac{\sum_{j\neq i;k\neq j;k\neq i}g_{ij}g_{ik}g_{jk}}{\sum_{j\neq i;k\neq j;k\neq i}g_{ik}g_{jk}} \end{equation} + \item Aufgabe 5: Wahlaufgabe, 20 Punkte + +\begin{enumerate} + \item Im Rahmen der Veranstaltung haben sie die Strong Triadic Closure (STC) Eigenschaft kennengelernt. +Definieren sie die STC (2 Punkte) + \item Betrachten sie die \autoref{img:graph5}. +Welche der Knoten erfüllen die Anforderungen der STC und welche nicht? +Welche Kanten müssen ergänzt werden, damit alle Knoten die STC Anforderungen erfüllen? (8 Punkte) +\image{.25}{graphs-2015/graph5}{Dicke Kanten: Strong ties; dünne Kanten Weak Ties}{img:graph5} + \item Weiterhin haben sie Bridges und Local Bridges kennengelernt. +Definieren sie beide Konzepte (4 Punkte) + \item Identifizieren und nennen sie alle Bridges und Local Bridges in \autoref{img:graph6} (6 Punkte) +\image{.5}{graphs-2015/graph6}{Welche Kanten sind (local) Bridges?}{img:graph6} +\end{enumerate} + \end{enumerate} +\end{document} \ No newline at end of file diff --git a/SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/.graph6.dot.swp b/SNA-ASN-M Analyse sozialer Netzwerke/graphs-2015/.graph6.dot.swp new file mode 100644 index 0000000000000000000000000000000000000000..1c7498cfd6ceaa5ede7fdc3f1a3c9640178d6ada GIT binary patch literal 1024 zcmeH@K@P$o5Jg#f3@!juN!7UQ0c6v7fYDAUDFp-6#-3iIE?D#koz=_#$^7KqDvv&J zB~P+u#qG|F-5rhOQ<1J?u2t1N*Sj)>K8ytauV8G3*`kHP;gqIGUZ8X4Gig1vx)DvQ w#f3K>-767KVX^2aa!q-eDGmfC;-gPORr|w_kFpE7T-m9l@!@ZNRm`Yl${l2mW&A5du0|O8HE%{*=1E$NOl=TLbhxbGBYBH 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