\documentclass[tikz,border=5pt]{standalone}
\usepackage{amsmath, amssymb, amsthm}
\usepackage{tikz}
\usetikzlibrary{shapes.geometric}
\begin{document}
\begin{tikzpicture}[square/.style={regular polygon,regular polygon sides=4}]
\filldraw (0,0) node[anchor = south east] {$v_1$} circle (0.075cm);
\filldraw (2.5,0) node[anchor = south east] {$v_2$} circle (0.100cm);
\filldraw (5,0) node[anchor = south east] {$v_3$} circle (0.125cm);
\draw (7.5,0) node {$\mathbf{\cdots\quad\cdots\quad\cdots}$};
\filldraw (10,0) node[anchor = south west] {$v_t$} circle (0.150cm);
\draw (-0.9,-0.8) -- (-0.7,-0.8) -- (-0.7,-1) -- (-0.9,-1) -- (-0.9,-0.8);
\draw (-0.7,-0.8) node[anchor = south east] {\tiny $i_{11}$};
\draw (-0.3,-0.8) -- (-0.1,-0.8) -- (-0.1,-1) -- (-0.3,-1) -- (-0.3,-0.8);
\draw (-0.2,-0.8) node[anchor = south west] {\tiny $i_{12}$};
\draw (0.3,-0.9) node {$\cdots$};
\draw (0.6,-0.8) -- (0.8,-0.8) -- (0.8,-1) -- (0.6,-1) -- (0.6,-0.8);
\draw (0.6,-0.8) node[anchor = south west] {\tiny $i_{1k}$};
\draw (1.6,-0.8) -- (1.8,-0.8) -- (1.8,-1) -- (1.6,-1) -- (1.6,-0.8);
\draw (1.8,-0.8) node[anchor = south east] {\tiny $i_{21}$};
\draw (2.2,-0.8) -- (2.4,-0.8) -- (2.4,-1) -- (2.2,-1) -- (2.2,-0.8);
\draw (2.3,-0.8) node[anchor = south west] {\tiny $i_{22}$};
\draw (2.8,-0.9) node {$\cdots$};
\draw (3.1,-0.8) -- (3.3,-0.8) -- (3.3,-1) -- (3.1,-1) -- (3.1,-0.8);
\draw (3.1,-0.8) node[anchor = south west] {\tiny $i_{2k}$};
\draw (4.1,-0.8) -- (4.3,-0.8) -- (4.3,-1) -- (4.1,-1) -- (4.1,-0.8);
\draw (4.3,-0.8) node[anchor = south east] {\tiny $i_{31}$};
\draw (4.7,-0.8) -- (4.9,-0.8) -- (4.9,-1) -- (4.7,-1) -- (4.7,-0.8);
\draw (4.8,-0.8) node[anchor = south west] {\tiny $i_{32}$};
\draw (5.3,-0.9) node {$\cdots$};
\draw (5.6,-0.8) -- (5.8,-0.8) -- (5.8,-1) -- (5.6,-1) -- (5.6,-0.8);
\draw (5.7,-0.8) node[anchor = south west] {\tiny $i_{3k}$};
\draw (9.1,-0.8) -- (9.3,-0.8) -- (9.3,-1) -- (9.1,-1) -- (9.1,-0.8);
\draw (9.3,-0.8) node[anchor = south east] {\tiny $i_{11}$};
\draw (9.7,-0.8) -- (9.9,-0.8) -- (9.9,-1) -- (9.7,-1) -- (9.7,-0.8);
\draw (9.8,-0.8) node[anchor = south west] {\tiny $i_{12}$};
\draw (10.3,-0.9) node {$\cdots$};
\draw (10.6,-0.8) -- (10.8,-0.8) -- (10.8,-1) -- (10.6,-1) -- (10.6,-0.8);
\draw (10.6,-0.8) node[anchor = south west] {\tiny $i_{1k}$};
\draw[thin] (0,0) -- (-0.8,-0.8);
\draw[thin] (0,0) -- (-0.2,-0.8);
\draw[thin] (0,0) -- (0.7,-0.8);
\draw[thin] (2.5,0) -- (1.7,-0.8);
\draw[thin] (2.5,0) -- (2.3,-0.8);
\draw[thin] (2.5,0) -- (3.2,-0.8);
\draw[thin] (5,0) -- (4.2,-0.8);
\draw[thin] (5,0) -- (4.8,-0.8);
\draw[thin] (5,0) -- (5.7,-0.8);
\draw[thin] (10,0) -- (9.2,-0.8);
\draw[thin] (10,0) -- (9.8,-0.8);
\draw[thin] (10,0) -- (10.7,-0.8);
\draw[very thick] (0,0) -- (2.5,0);
\draw[very thick] (2.5,0) -- (5,0);
\draw[very thick] (5,0) -- (6,0);
\draw[very thick] (9,0) -- (10,0);
\draw (0,0.4) node[anchor = south] {{\color{blue}\small $\frac{1}{H_t}$}};
\draw (2.5,0.4) node[anchor = south] {{\color{blue}\small $\frac{1}{2H_t}$}};
\draw (5,0.45) node[anchor = south] {{\color{blue}\small $\frac{1}{3H_t}$}};
\draw (10,0.45) node[anchor = south] {{\color{blue}\small $\frac{1}{tH_t}$}};
\draw (-0.8,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{H_t}$}};
\draw (-0.2,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{H_t}$}};
\draw (0.3,-1.3) node {\color{red}\tiny$\cdots$};
\draw (0.7,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{H_t}$}};
\draw (1.7,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{2H_t}$}};
\draw (2.3,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{2H_t}$}};
\draw (2.8,-1.3) node {\color{red}\tiny$\cdots$};
\draw (3.2,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{2H_t}$}};
\draw (4.2,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{3H_n}$}};
\draw (4.8,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{3H_n}$}};
\draw (5.3,-1.3) node {\color{red}\tiny$\cdots$};
\draw (5.7,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{3H_n}$}};
\draw (9.2,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{tH_t}$}};
\draw (9.8,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{tH_t}$}};
\draw (10.3,-1.3) node {\color{red}\tiny$\cdots$};
\draw (10.7,-1) node[anchor = north] {{\color{red}\tiny $\frac{1}{tH_t}$}};
\end{tikzpicture}
\end{document}