Displacement when clip raster by shapefile

This demonstrates one way to superimpose a path with text curved along it. A wide path is drawn using a thick, translucent line. A text along path decoration is used to add the text after the line is drawn in a postaction. Finally, the path is given opaque edges by drawing two additional paths over the first using thin, edging lines.

\documentclass[tikz,border=5pt]{standalone}
\usetikzlibrary{automata,calc,positioning,decorations.text}

\begin{document}
  \begin{tikzpicture}
    [
      node distance=5cm,
      thick,
      every state/.style={minimum size=3cm},
      every edge/.append style={
        every node/.append style={text=black, sloped, above}
      },
    ]
    \node[state,draw=blue,fill=blue!20] (A) {A};
    \node[state,draw=red,fill=red!20] (B) [right=of A.center] {B};
    \node[state,draw=red,fill=red!20] (E) [below=of B.center] {E};
    \node[state,draw=blue,fill=blue!20] (C) [right=of B.center] {C};
    \node[state,draw=green!50!black,fill=green!20] (D) [below=of A.center] {D};
    \node[state,draw=red,fill=red!20] (F) [below=of C.center] {F};
    \path[-,violet,line width=1mm]
    (A)  edge node  {G1,G2,G3}
    (E)  edge node [below]  {G1} (B)
    (D)  edge node  {G4} (E)
    (C)  edge node  {G5} (E)
         edge node  {G5} (F)
    (E)  edge node  {G5} (F)
    (B)  edge node  {G1} (E);
    \path
    [
      line width=7.5mm,
      draw=violet!25,
      opacity=.75,
    ] ($(B.north)!1/2!(E.south)$) coordinate (c) circle (75mm and 40mm);
    \path
    [
      thick,
      draw=violet,
    ] (c) circle (78.75mm and 43.75mm) circle (71.25mm and 36.25mm)
    ;
    \path
    [
      postaction={
        decorate,
        opacity=1,
        decoration={
          text along path,
          text={|\LARGE\sffamily|Some text here Some text here ||},
          raise=-5pt,
          pre length=200mm,
          text color=black,
          reverse path=true,
          pre=moveto
        }
      }
    ]  (c) circle (75mm and 40mm);
  \end{tikzpicture}
\end{document}

EDIT

Here's an example somewhat similar to the one you linked in your question. It uses thick arrows with text decorations.

\documentclass[tikz,border=5pt]{standalone}
\usetikzlibrary{automata,calc,positioning,decorations.text,arrows.meta,bending}

\begin{document}
  \begin{tikzpicture}
    [
      node distance=5cm,
      thick,
      every state/.style={minimum size=3cm},
      every edge/.append style={
        every node/.append style={text=black, sloped, above}
      },
      my arrow/.style={line width=7.5mm, draw=violet, {Triangle Cap[reversed,bend]}-{Triangle Cap[bend]}},
    ]
    \node[state,draw=blue,fill=blue!20] (A) {A};
    \node[state,draw=red,fill=red!20] (B) [right=of A.center] {B};
    \node[state,draw=red,fill=red!20] (E) [below=of B.center] {E};
    \node[state,draw=blue,fill=blue!20] (C) [right=of B.center] {C};
    \node[state,draw=green!50!black,fill=green!20] (D) [below=of A.center] {D};
    \node[state,draw=red,fill=red!20] (F) [below=of C.center] {F};
    \path[-,violet,line width=1mm]
    (A)  edge node  {G1,G2,G3}
    (E)  edge node [below]  {G1} (B)
    (D)  edge node  {G4} (E)
    (C)  edge node  {G5} (E)
         edge node  {G5} (F)
    (E)  edge node  {G5} (F)
    (B)  edge node  {G1} (E);
    \path [my arrow]  ($(B.north)!1/2!(E.south)$) coordinate (c) +(75mm,0) arc (0:-90:75mm and 40mm);
    \path [my arrow] (c) +(0,-40mm) arc (270:180:75mm and 40mm);
    \path
    [
      my arrow,
      postaction=decorate,
      decoration={
        text along path,
        text={|\LARGE\sffamily|Some text here Some text here ||},
        text color=white,
        raise=-5pt,
        pre length=10mm,
        pre=moveto
        }
    ] (c) +(-75mm,0) arc (180:90:75mm and 40mm);
    \path
    [
      my arrow,
      postaction=decorate,
      decoration={
        text along path,
        text={|\LARGE\sffamily|More text here More text here ||},
        text color=white,
        raise=-5pt,
        pre length=10mm,
        pre=moveto
        }
    ]  (c) +(0,40mm) arc (90:0:75mm and 40mm);
  \end{tikzpicture}
\end{document}