\documentclass[border=10pt]{standalone}


         \usepackage{tikz}
         \usetikzlibrary{decorations.markings, shapes.geometric} 

        
\definecolor{vertexcol}{RGB}{250,250,250}\definecolor{col0}{RGB}{0,0,204}\definecolor{col1}{RGB}{204,0,0}\definecolor{col2}{RGB}{0,204,0}\definecolor{col3}{RGB}{255, 165, 0}\definecolor{col4}{RGB}{128,0,128}\definecolor{col5}{RGB}{255, 255, 0}\definecolor{col6}{RGB}{102, 0, 102}\definecolor{fontcolor}{RGB}{0,0,0}

        \begin{document}

        \tikzset{
            bicolor/.style n args={2}{
                postaction={draw=#1, decoration={curveto,  post=moveto, post length=0.5*\pgfmetadecoratedpathlength}, decorate},
                postaction={draw=#2, decoration={curveto,  pre=moveto, pre length=0.5*\pgfmetadecoratedpathlength}, decorate},
            },
            bicolor_neg/.style n args={2}{
                postaction={draw=#1, decoration={curveto,  pre=moveto, pre length=0.5*\pgfmetadecoratedpathlength}, decorate},
                postaction={draw=#2, decoration={curveto,  post=moveto, post length=0.5*\pgfmetadecoratedpathlength}, decorate},
                postaction={decoration={markings, mark=at position 0.5 with {\node[diamond, fill=white, aspect=0.7,draw, thin, minimum width=10pt,opacity=1] {};}}, decorate},
            },
            vertex/.style={circle, draw=black, ultra thick ,fill=vertexcol!80,minimum size=15pt},
        }

        \begin{tikzpicture}

        
\node[vertex] (0) at (3.0,0.0) [circle] {\color{fontcolor}0};
\node[vertex] (1) at (1.8369701987210297e-16,3.0) [circle] {\color{fontcolor}1};
\node[vertex] (2) at (-3.0,3.6739403974420594e-16) [star,star points=10] {\color{fontcolor}2};
\node[vertex] (3) at (-5.51091059616309e-16,-3.0) [rectangle] {\color{fontcolor}3};
\path[line width=4.0,bicolor={col0}{col0}, bend right=-16.875, opacity=0.956061464798555] (0) to (1);
\path[line width=4.0,bicolor_neg={col1}{col0}, bend right=-5.625, opacity=0.33113589587960923] (0) to (1);
\path[line width=4.0,bicolor_neg={col0}{col1}, bend right=5.625, opacity=0.6630638218958145] (0) to (1);
\path[line width=4.0,bicolor={col1}{col2}, bend right=16.875, opacity=0.3] (0) to (1);
\path[line width=4.0,bicolor={col0}{col0}, bend right=-18.0, opacity=0.3] (0) to (2);
\path[line width=4.0,bicolor={col0}{col1}, bend right=-9.0, opacity=0.5259870187677493] (0) to (2);
\path[line width=4.0,bicolor={col1}{col0}, bend right=0.0, opacity=0.9802549531858115] (0) to (2);
\path[line width=4.0,bicolor_neg={col1}{col2}, bend right=9.0, opacity=0.3] (0) to (2);
\path[line width=4.0,bicolor={col2}{col2}, bend right=18.0, opacity=0.3] (0) to (2);
\path[line width=4.0,bicolor_neg={col0}{col0}, bend right=-15.0, opacity=0.30291960306828564] (0) to (3);
\path[line width=4.0,bicolor={col1}{col0}, bend right=0.0, opacity=0.5238226567404276] (0) to (3);
\path[line width=4.0,bicolor={col2}{col0}, bend right=15.0, opacity=0.3] (0) to (3);
\path[line width=4.0,bicolor={col0}{col1}, bend right=-19.285714285714285, opacity=0.878884976194355] (1) to (2);
\path[line width=4.0,bicolor={col0}{col2}, bend right=-12.857142857142858, opacity=1.0] (1) to (2);
\path[line width=4.0,bicolor={col0}{col3}, bend right=-6.428571428571427, opacity=0.3] (1) to (2);
\path[line width=4.0,bicolor_neg={col2}{col1}, bend right=0.0, opacity=0.8635711203440826] (1) to (2);
\path[line width=4.0,bicolor={col1}{col3}, bend right=6.428571428571427, opacity=0.3] (1) to (2);
\path[line width=4.0,bicolor_neg={col1}{col2}, bend right=12.857142857142854, opacity=0.3] (1) to (2);
\path[line width=4.0,bicolor={col2}{col3}, bend right=19.285714285714285, opacity=0.3] (1) to (2);
\path[line width=4.0,bicolor={col0}{col0}, bend right=-11.25, opacity=0.5059030677723023] (1) to (3);
\path[line width=4.0,bicolor={col1}{col0}, bend right=11.25, opacity=0.8754563497549195] (1) to (3);
\path[line width=4.0,bicolor={col0}{col0}, bend right=-11.25, opacity=0.7478849121494506] (2) to (3);
\path[line width=4.0,bicolor={col2}{col0}, bend right=11.25, opacity=0.7900241872099721] (2) to (3);

        \end{tikzpicture}

        \end{document}
        
