-
Notifications
You must be signed in to change notification settings - Fork 0
/
Copy pathmain.tex
104 lines (79 loc) · 2.63 KB
/
main.tex
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
\documentclass{article}
\usepackage{graphicx} % Required for inserting images
\usepackage[labelfont=bf]{caption}
\usepackage[sorting=none]{biblatex}
\usepackage{amsmath}
\addbibresource{bibliography.bib}
\bibliography{bibliography.bib}
\title{Complex and Social Networks:\\
Report 3}
\author{Wojciech Woszczek}
\date{21/09/2023}
\begin{document}
\begin{titlepage}
\begin{center}
\vspace*{1cm}
\LARGE
\textbf{Complex and Social Networks\\
Report 3\\
Significance of network metrics}
\vspace{5.5cm}
\Large
\textbf{Wojciech Woszczek} \\
\textbf{Tim Schwabe}
\vspace{0.8cm}
\Large
UPC - FIB\\
18/10/2023
\end{center}
\end{titlepage}
\clearpage
\section{Introduction}
\section{Results}
\begin{table}[ht]
\centering
\begin{tabular}{lcccc}
\hline
Language & $N$ & $E$ & $ \langle k \rangle $ & $\delta$ \\
\hline
Arabic & 21 532 & 68 743 & 6.38 & 0.000297 \\
Basque & 12 207 & 25 541 & 4.18 & 0.000343 \\
Catalan & 36 865 & 197 074 & 10.69 & 0.000290 \\
Chinese & 40 298 & 180 925 & 8.97 & 0.000223 \\
Czech & 69 303 & 257 222 & 7.42 & 0.000107 \\
English & 29 634 & 193 067 & 13.03 & 0.000440 \\
Greek & 13 283 & 43 961 & 6.61 & 0.000498 \\
Hungarian & 36 126 & 106 681 & 5.90 & 0.000163 \\
Italian & 14 726 & 55 954 & 7.60 & 0.000516 \\
Turkish & 20 409 & 45 620 & 4.47 & 0.000219 \\
\hline
\end{tabular}
\caption{Summary of the properties of the degree sequences. $N$ is the number
of vertices of the network, $E$ is the number of edges, $ \langle k \rangle = 2E/N$ is the mean
degree and $\delta = 2E / (N (N-1))$ is the network density of edges.}
\label{networks_summary}
\end{table}
\begin{table}[ht]
\centering
\begin{tabular}{lcccc}
\hline
Language & $C_{WS}$ & $p$-value (binomial) & $p$-value (switching) & Failure ratio \\
\hline
Arabic & 0.188 & 0.0 & 0.0 & 25.6\% \\
Basque & 0.047 & 0.0 & 0.95 & 12.1\% \\
Catalan & 0.221 & 0.0 & 0.0 & 29.4\% \\
Chinese & 0.170 & 0.0 & 0.0 & 22.9\% \\
Czech & 0.122 & 0.0 & NaN & NaN \\
English & 0.235 & 0.0 & 0.0 & 32.0\% \\
Greek & 0.134 & 0.0 & 0.70 & 22.3\% \\
Hungarian & 0.051 & 0.0 & 1.0 & 15.3\% \\
Italian & 0.144 & 0.0 & 1.0 & 25.3\% \\
Turkish & 0.234 & 0.0 & 0.30 & 32.3\% \\
\hline
\end{tabular}
\caption{Mean local clustering coefficients ($C_{WS}$), p-values for null hypotheses regarding binomial \& switching model and switching failure ratio (\% of failed switches, when samples did not satisfy the required conditions) for all the languages given.}
\label{pvals}
\end{table}
\section{Discussion}
\section{Methods}
\end{document}