Αρχείο:Non antisymmetric relation graph and matrix.svg

\documentclass[border=3mm, tikz]{standalone}

\usepackage{pgfplots}
\usepackage{xcolor}

\definecolor{Green}{HTML}{8ac478}
\definecolor{Red}{HTML}{ff7979}

\usepackage{tabularray}

\begin{document}
\begin{tikzpicture}
\tikzset{nd/.style={circle,thick,fill=black,minimum size=0.5mm,scale=0.35}}

% The nodes of the relation.
\node[nd] (a1) at (0, 0) {};
\node[nd] (a2) at (1.2, 0) {};
\node[nd] (a4) at (0, -0.8) {};
\node[nd] (a3) at (1.2, -0.8) {};
\node[nd] (a5) at (0.6, -1.25) {};

% The edges of the relation.
\path[->,Red] (a1) edge[bend right] (a2);
\path[->,Red] (a2) edge[bend right] (a1);
\path[->] (a3) edge[bend right] (a2);
\path[->,Red] (a3) edge[bend right] (a5);
\path[->,Red] (a5) edge[bend right] (a3);
\path[->] (a4) edge[bend right] (a5);


% The self-loops of the relation.
\path[->] (a1) edge[out=-110,in=-60,loop,looseness=8] (a1);
\path[->] (a4) edge[in=60,out=110,loop,looseness=8] (a4);

% The labels of the elements
\node[anchor=south east,scale=0.5] at (a1) {$1$};
\node[anchor=south west,scale=0.5] at (a2) {$2$};
\node[anchor=north west,scale=0.5] at (a3) {$3$};
\node[anchor=north east,scale=0.5] at (a4) {$4$};
\node[anchor=north,scale=0.5,yshift=-0.1cm] at (a5) {$5$};

% The binary matrix representation.
\node[anchor=north,scale=0.4] at (2.75, 0.2) {
$M(R) = \quad $\begin{tblr}{
  rows = {1.5em, rowsep = 2pt},
  columns = {1.5em, colsep = 2pt},
  cells = {m,c},
  hlines = {1pt},
  vlines = {1pt},
  cell{1}{1} = {Green},
  cell{1}{2} = {Red},
  cell{2}{1} = {Red},
  cell{3}{2} = {Green},
  cell{3}{5} = {Red},
  cell{4}{4} = {Green},
  cell{4}{5} = {Green},
  cell{5}{3} = {Red},
}
1 & 1 & 0 & 0 & 0 \\
1 & 0 & 0 & 0 & 0 \\ 
0 & 1 & 0 & 0 & 1 \\ 
0 & 0 & 0 & 1 & 1 \\ 
0 & 0 & 1 & 0 & 0 \\ 
\end{tblr}
};

\end{tikzpicture}
\end{document}