\documentclass[border=10pt]{standalone}


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

        
\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};
\begin{scope}[on background layer]
\path[line width=4.0,bicolor={col0}{col0}, bend right=0.0, opacity=0.8312290374080165] (0) to (1);
\path[line width=4.0,bicolor={col0}{col0}, bend right=-11.25, opacity=0.9986222539009573] (0) to (2);
\path[line width=4.0,bicolor={col0}{col2}, bend right=11.25, opacity=0.4486519810089067] (0) to (2);
\path[line width=4.0,bicolor={col1}{col0}, bend right=0.0, opacity=0.9918336810171423] (0) to (3);
\path[line width=4.0,bicolor={col0}{col0}, bend right=-15.0, opacity=1.0] (1) to (2);
\path[line width=4.0,bicolor={col0}{col3}, bend right=0.0, opacity=0.4492725046703934] (1) to (2);
\path[line width=4.0,bicolor={col1}{col4}, bend right=15.0, opacity=0.44927248804724607] (1) to (2);
\path[line width=4.0,bicolor={col1}{col0}, bend right=0.0, opacity=0.9931822119367133] (1) to (3);
\path[line width=4.0,bicolor={col1}{col0}, bend right=0.0, opacity=0.5360934077852146] (2) to (3);

            \end{scope}

        \end{tikzpicture}

        \end{document}
        
