This is a job for TikZ-cd:
\documentclass[a4paper,12pt, twoside]{report}
\usepackage{tikz-cd}
\begin{document}
[
\begin{tikzcd}[column sep=4pt, math mode=false]
C\textsubscript{1}\ar[d, dash] & V\textsubscript{1} & C\textsubscript{2}\ar[d, dash] & V\textsubscript{2} & C\textsubscript{3}\ar[d, dash] & V\textsubscript{3}\ar[d, dash] & C\textsubscript{4}\ar[d, dash] & V\textsubscript{4}& C\textsubscript{5} & V\textsubscript{5}\ar[d, dash]& C\textsubscript{6}\ar[d, dash] & V\textsubscript{6}\[-6pt]
s & & k\ar[ll] & & w & i & n &&& i & n\[-20pt]
& & & & & & & j\ar[uur, bend right, red]
\end{tikzcd}
]
\end{document}

You can also create a new command, for convenience, avoiding writing \textsubscript every time (suggested by Barbara Beaton).
\documentclass[a4paper,12pt, twoside]{report}
\usepackage{tikz-cd}
\newcommand{\scv}[2][C]{#1\textsubscript{#2}}
\begin{document}
[
\begin{tikzcd}[column sep=4pt, math mode=false]
\scv{1}\ar[d, dash] & \scv[V]{1} & \scv{2}\ar[d, dash] & \scv[V]{2} & \scv{3}\ar[d, dash] & \scv[V]{3}\ar[d, dash] & \scv{4}\ar[d, dash] & \scv[V]{4}& \scv{5} & \scv[V]{5}\ar[d, dash]& \scv{6}\ar[d, dash] & \scv[V]{6}\[-6pt]
s & & k\ar[ll] & & w & i & n &&& i & n\[-20pt]
& & & & & & & j\ar[uur, bend right, red]
\end{tikzcd}
]
\end{document}
Linguists use gb4e. It allows you to have access to _ and ^ in text mode directly (suggested by Alan Munn).
\documentclass[a4paper,12pt, twoside]{report}
\usepackage{tikz-cd}
\usepackage{gb4e}
\begin{document}
[
\begin{tikzcd}[column sep=4pt, math mode=false]
C_{1}\ar[d, dash] & V_{1} & C_{2}\ar[d, dash] & V_{2} & C_{3}\ar[d, dash] & V_{3}\ar[d, dash] & C_{4}\ar[d, dash] & V_{4}& C_{5} & V_{5}\ar[d, dash]& C_{6}\ar[d, dash] & V_{6}\[-6pt]
s & & k\ar[ll] & & w & i & n &&& i & n\[-20pt]
& & & & & & & j\ar[uur, bend right, red]
\end{tikzcd}
]
\end{document}
The output is always the same as the first example.