رسم گراف کاترپیلار در لتک همراه با نامگذاری رئوس

Question

با سلام. گراف کاترپیلار را که در زیر عکس را پیوست کردم میخاستم رسم کنم . ممنون میشم کمکم کنین. گراف شامل مسیری به طول k که رئوس را نامگذاری کردم و هر رأس دارای k-2 همسایه می‌باشد.

Comments

راهنمای بسته‌ی tikz رو ببینید.

Answer 1

باسلام
برنامه ی گرافی به صورت

به صورت زیر است

\documentclass{report}
\usepackage{tikz}
\usepackage{xepersian}
\settextfont{XB Yas}
\setdigitfont{XB Yas}
\begin{document}
\begin{figure}
\begin{tikzpicture}[scale=1]
\draw [fill] (0,-1) circle [radius=0.1] node [left] {$2$};
\draw [fill] (0,0) circle [radius=0.1] node [below left] {$v_1$};
\draw [fill] (1,0) circle [radius=0.1] node [below] {$v_2$};
\draw [fill] (2,0) circle [radius=0.1] node [below] {$v_3$};
\draw [fill] (3,0) circle [radius=0.1] node [below] {$v_4$};
\draw [fill] (4,0) circle [radius=0.1] node [below] {$v_{k-2}$};
\draw [fill] (5.5,0) circle [radius=0.1] node [below] {$v_{k-1}$};
\draw [fill] (7,0) circle [radius=0.1] node [below] {$v_{k}$};
\draw [fill] (2,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (2.8,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (3.2,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (4.4,1) circle [radius=0.1] node [above] {$k-4$};
\node at  (4.1,1)  {$\dots$};
\draw [fill] (5.1,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (5.3,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (5.9,1) circle [radius=0.1] node [above] {$k-3$};
\node at  (5.6,1)  {$\dots$};
\draw [fill] (6.6,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (6.8,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (7,1) circle [radius=0.1] node [above] {$3$};
\draw [fill] (7.6,1) circle [radius=0.1] node [above] {$k-2$};
\node at  (7.3,1)  {$\dots$};
\draw [fill] (3.8,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (3.6,1) circle [radius=0.1] node [above] {$1$};
\draw (0, -1) -- (0, 0) -- (1, 0) --(2,0) --(3,0);
\draw (3,0) [dashed]--(4,0);
\draw (4,0) -- (5,0) -- (7,0);
\draw (5.5,0)-- (5.1,1);
\draw (5.5,0)-- (5.3,1);
\draw (5.5,0)-- (5.9,1);
\draw (7,0)-- (6.6,1);
\draw (7,0)-- (6.8,1);
\draw (7,0)-- (7,1);
\draw (7,0)-- (7.6,1);
\draw(2,1)--(2,0);
\draw(2.8,1)--(3,0);
\draw(3.2,1)--(3,0);
\draw(3.6,1)--(4,0);
\draw(3.8,1)--(4,0);
\draw(4.4,1)--(4,0);
\end{tikzpicture}
\caption{گراف}
\end{figure}
\end{document}

Comments

ممنون. دستتون درد نکنه

Answer 2

شما می توانید با کامل کردن کد زیر شکل مورد نظر خود را به دست آورید:

\documentclass{report}
\usepackage{tikz}
\usepackage{xepersian}
\settextfont{XB Yas}
\setdigitfont{XB Yas}
\begin{document}
\begin{figure}
\begin{tikzpicture}[scale=1]

\draw [fill] (0,-1) circle [radius=0.1] node [left] {$B$};
\draw [fill] (0,0) circle [radius=0.1] node [below left] {$A$};
\draw [fill] (1,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (2,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (3,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (4,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (5,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (6,0) circle [radius=0.1] node [below] {$B$};
\draw [fill] (2,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (2.8,1) circle [radius=0.1] node [above] {$1$};
\draw [fill] (3.2,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (4.4,1) circle [radius=0.1] node [above] {$k-4$};
\node at  (4.1,1)  {$\dots$};
\draw [fill] (3.8,1) circle [radius=0.1] node [above] {$2$};
\draw [fill] (3.6,1) circle [radius=0.1] node [above] {$1$};
\draw (0, -1) -- (0, 0) -- (1, 0) --(2,0) --(3,0);
\draw (3,0) [dashed]--(4,0);
\draw (4,0) -- (5,0) -- (6,0);
\draw(2,1)--(2,0);
\draw(2.8,1)--(3,0);
\draw(3.2,1)--(3,0);
\draw(3.6,1)--(4,0);
\draw(3.8,1)--(4,0);
\draw(4.4,1)--(4,0);
\end{tikzpicture}
\caption{گراف}
\end{figure}
\end{document}

نتیجه به صورت زیر خواهد بود:

Answer 3

از نرم افزارهایی که برای این کار هست استفاده کنید مثل ipe. با دست کشیدن شکل‌های ریاضی کار سختی است!