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young_lattice_source_with_preamble

Dec 8th, 2016
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  1. \documentclass{article}
  2. \usepackage[utf8]{inputenc}
  3. \usepackage[upright]{fourier}
  4. \usepackage[usenames,dvipsnames]{xcolor}
  5. \usepackage{fullpage}
  6. \usepackage{tkz-graph}
  7. \usepackage{tkz-berge}
  8. \usepackage{tkz-arith}
  9. \usetikzlibrary{arrows,shapes}
  10. \begin{document}
  11.  
  12. \begin{tikzpicture}
  13. %
  14. \useasboundingbox (0,0) rectangle (5.0cm,5.0cm);
  15. %
  16. \definecolor{cv0}{rgb}{0.0,0.0,0.0}
  17. \definecolor{cfv0}{rgb}{1.0,1.0,1.0}
  18. \definecolor{clv0}{rgb}{0.0,0.0,0.0}
  19. \definecolor{cv1}{rgb}{0.0,0.0,0.0}
  20. \definecolor{cfv1}{rgb}{1.0,1.0,1.0}
  21. \definecolor{clv1}{rgb}{0.0,0.0,0.0}
  22. \definecolor{cv2}{rgb}{0.0,0.0,0.0}
  23. \definecolor{cfv2}{rgb}{1.0,1.0,1.0}
  24. \definecolor{clv2}{rgb}{0.0,0.0,0.0}
  25. \definecolor{cv3}{rgb}{0.0,0.0,0.0}
  26. \definecolor{cfv3}{rgb}{1.0,1.0,1.0}
  27. \definecolor{clv3}{rgb}{0.0,0.0,0.0}
  28. \definecolor{cv4}{rgb}{0.0,0.0,0.0}
  29. \definecolor{cfv4}{rgb}{1.0,1.0,1.0}
  30. \definecolor{clv4}{rgb}{0.0,0.0,0.0}
  31. \definecolor{cv5}{rgb}{0.0,0.0,0.0}
  32. \definecolor{cfv5}{rgb}{1.0,1.0,1.0}
  33. \definecolor{clv5}{rgb}{0.0,0.0,0.0}
  34. \definecolor{cv6}{rgb}{0.0,0.0,0.0}
  35. \definecolor{cfv6}{rgb}{1.0,1.0,1.0}
  36. \definecolor{clv6}{rgb}{0.0,0.0,0.0}
  37. \definecolor{cv7}{rgb}{0.0,0.0,0.0}
  38. \definecolor{cfv7}{rgb}{1.0,1.0,1.0}
  39. \definecolor{clv7}{rgb}{0.0,0.0,0.0}
  40. \definecolor{cv8}{rgb}{0.0,0.0,0.0}
  41. \definecolor{cfv8}{rgb}{1.0,1.0,1.0}
  42. \definecolor{clv8}{rgb}{0.0,0.0,0.0}
  43. \definecolor{cv9}{rgb}{0.0,0.0,0.0}
  44. \definecolor{cfv9}{rgb}{1.0,1.0,1.0}
  45. \definecolor{clv9}{rgb}{0.0,0.0,0.0}
  46. \definecolor{cv10}{rgb}{0.0,0.0,0.0}
  47. \definecolor{cfv10}{rgb}{1.0,1.0,1.0}
  48. \definecolor{clv10}{rgb}{0.0,0.0,0.0}
  49. \definecolor{cv11}{rgb}{0.0,0.0,0.0}
  50. \definecolor{cfv11}{rgb}{1.0,1.0,1.0}
  51. \definecolor{clv11}{rgb}{0.0,0.0,0.0}
  52. \definecolor{cv12}{rgb}{0.0,0.0,0.0}
  53. \definecolor{cfv12}{rgb}{1.0,1.0,1.0}
  54. \definecolor{clv12}{rgb}{0.0,0.0,0.0}
  55. \definecolor{cv13}{rgb}{0.0,0.0,0.0}
  56. \definecolor{cfv13}{rgb}{1.0,1.0,1.0}
  57. \definecolor{clv13}{rgb}{0.0,0.0,0.0}
  58. \definecolor{cv14}{rgb}{0.0,0.0,0.0}
  59. \definecolor{cfv14}{rgb}{1.0,1.0,1.0}
  60. \definecolor{clv14}{rgb}{0.0,0.0,0.0}
  61. \definecolor{cv15}{rgb}{0.0,0.0,0.0}
  62. \definecolor{cfv15}{rgb}{1.0,1.0,1.0}
  63. \definecolor{clv15}{rgb}{0.0,0.0,0.0}
  64. \definecolor{cv16}{rgb}{0.0,0.0,0.0}
  65. \definecolor{cfv16}{rgb}{1.0,1.0,1.0}
  66. \definecolor{clv16}{rgb}{0.0,0.0,0.0}
  67. \definecolor{cv17}{rgb}{0.0,0.0,0.0}
  68. \definecolor{cfv17}{rgb}{1.0,1.0,1.0}
  69. \definecolor{clv17}{rgb}{0.0,0.0,0.0}
  70. \definecolor{cv18}{rgb}{0.0,0.0,0.0}
  71. \definecolor{cfv18}{rgb}{1.0,1.0,1.0}
  72. \definecolor{clv18}{rgb}{0.0,0.0,0.0}
  73. \definecolor{cv0v1}{rgb}{0.0,0.0,0.0}
  74. \definecolor{cv1v2}{rgb}{0.0,0.0,0.0}
  75. \definecolor{cv1v6}{rgb}{0.0,0.0,0.0}
  76. \definecolor{cv2v3}{rgb}{0.0,0.0,0.0}
  77. \definecolor{cv2v7}{rgb}{0.0,0.0,0.0}
  78. \definecolor{cv3v4}{rgb}{0.0,0.0,0.0}
  79. \definecolor{cv3v8}{rgb}{0.0,0.0,0.0}
  80. \definecolor{cv4v5}{rgb}{0.0,0.0,0.0}
  81. \definecolor{cv4v9}{rgb}{0.0,0.0,0.0}
  82. \definecolor{cv6v7}{rgb}{0.0,0.0,0.0}
  83. \definecolor{cv6v12}{rgb}{0.0,0.0,0.0}
  84. \definecolor{cv7v8}{rgb}{0.0,0.0,0.0}
  85. \definecolor{cv7v10}{rgb}{0.0,0.0,0.0}
  86. \definecolor{cv7v13}{rgb}{0.0,0.0,0.0}
  87. \definecolor{cv8v9}{rgb}{0.0,0.0,0.0}
  88. \definecolor{cv8v11}{rgb}{0.0,0.0,0.0}
  89. \definecolor{cv8v14}{rgb}{0.0,0.0,0.0}
  90. \definecolor{cv10v11}{rgb}{0.0,0.0,0.0}
  91. \definecolor{cv10v15}{rgb}{0.0,0.0,0.0}
  92. \definecolor{cv12v13}{rgb}{0.0,0.0,0.0}
  93. \definecolor{cv12v16}{rgb}{0.0,0.0,0.0}
  94. \definecolor{cv13v14}{rgb}{0.0,0.0,0.0}
  95. \definecolor{cv13v15}{rgb}{0.0,0.0,0.0}
  96. \definecolor{cv13v17}{rgb}{0.0,0.0,0.0}
  97. \definecolor{cv16v17}{rgb}{0.0,0.0,0.0}
  98. \definecolor{cv16v18}{rgb}{0.0,0.0,0.0}
  99. %
  100. \Vertex[style={minimum size=1.0cm,draw=cv0,fill=cfv0,text=clv0,shape=circle},LabelOut=false,L=\hbox{${\emptyset}$},x=5.0cm,y=2.1177cm]{v0}
  101. \Vertex[style={minimum size=1.0cm,draw=cv1,fill=cfv1,text=clv1,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  102. \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
  103. \lr{\phantom{x}}\\\cline{1-1}
  104. \end{array}$}
  105. }$},x=3.8355cm,y=2.2727cm]{v1}
  106. \Vertex[style={minimum size=1.0cm,draw=cv2,fill=cfv2,text=clv2,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  107. \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
  108. \lr{\phantom{x}}\\\cline{1-1}
  109. \lr{\phantom{x}}\\\cline{1-1}
  110. \end{array}$}
  111. }$},x=2.6485cm,y=1.9877cm]{v2}
  112. \Vertex[style={minimum size=1.0cm,draw=cv3,fill=cfv3,text=clv3,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  113. \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
  114. \lr{\phantom{x}}\\\cline{1-1}
  115. \lr{\phantom{x}}\\\cline{1-1}
  116. \lr{\phantom{x}}\\\cline{1-1}
  117. \end{array}$}
  118. }$},x=1.8293cm,y=1.3883cm]{v3}
  119. \Vertex[style={minimum size=1.0cm,draw=cv4,fill=cfv4,text=clv4,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  120. \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
  121. \lr{\phantom{x}}\\\cline{1-1}
  122. \lr{\phantom{x}}\\\cline{1-1}
  123. \lr{\phantom{x}}\\\cline{1-1}
  124. \lr{\phantom{x}}\\\cline{1-1}
  125. \end{array}$}
  126. }$},x=1.4664cm,y=0.6697cm]{v4}
  127. \Vertex[style={minimum size=1.0cm,draw=cv5,fill=cfv5,text=clv5,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  128. \raisebox{-.6ex}{$\begin{array}[b]{*{1}c}\cline{1-1}
  129. \lr{\phantom{x}}\\\cline{1-1}
  130. \lr{\phantom{x}}\\\cline{1-1}
  131. \lr{\phantom{x}}\\\cline{1-1}
  132. \lr{\phantom{x}}\\\cline{1-1}
  133. \lr{\phantom{x}}\\\cline{1-1}
  134. \end{array}$}
  135. }$},x=1.5815cm,y=0.0cm]{v5}
  136. \Vertex[style={minimum size=1.0cm,draw=cv6,fill=cfv6,text=clv6,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  137. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  138. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  139. \end{array}$}
  140. }$},x=3.0636cm,y=2.8532cm]{v6}
  141. \Vertex[style={minimum size=1.0cm,draw=cv7,fill=cfv7,text=clv7,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  142. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  143. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  144. \lr{\phantom{x}}\\\cline{1-1}
  145. \end{array}$}
  146. }$},x=1.8512cm,y=2.5768cm]{v7}
  147. \Vertex[style={minimum size=1.0cm,draw=cv8,fill=cfv8,text=clv8,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  148. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  149. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  150. \lr{\phantom{x}}\\\cline{1-1}
  151. \lr{\phantom{x}}\\\cline{1-1}
  152. \end{array}$}
  153. }$},x=1.0541cm,y=1.9722cm]{v8}
  154. \Vertex[style={minimum size=1.0cm,draw=cv9,fill=cfv9,text=clv9,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  155. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  156. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  157. \lr{\phantom{x}}\\\cline{1-1}
  158. \lr{\phantom{x}}\\\cline{1-1}
  159. \lr{\phantom{x}}\\\cline{1-1}
  160. \end{array}$}
  161. }$},x=0.9237cm,y=1.1763cm]{v9}
  162. \Vertex[style={minimum size=1.0cm,draw=cv10,fill=cfv10,text=clv10,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  163. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  164. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  165. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  166. \end{array}$}
  167. }$},x=0.4734cm,y=2.7695cm]{v10}
  168. \Vertex[style={minimum size=1.0cm,draw=cv11,fill=cfv11,text=clv11,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  169. \raisebox{-.6ex}{$\begin{array}[b]{*{2}c}\cline{1-2}
  170. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  171. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  172. \lr{\phantom{x}}\\\cline{1-1}
  173. \end{array}$}
  174. }$},x=0.0cm,y=2.2674cm]{v11}
  175. \Vertex[style={minimum size=1.0cm,draw=cv12,fill=cfv12,text=clv12,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  176. \raisebox{-.6ex}{$\begin{array}[b]{*{3}c}\cline{1-3}
  177. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-3}
  178. \end{array}$}
  179. }$},x=2.7229cm,y=3.6337cm]{v12}
  180. \Vertex[style={minimum size=1.0cm,draw=cv13,fill=cfv13,text=clv13,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  181. \raisebox{-.6ex}{$\begin{array}[b]{*{3}c}\cline{1-3}
  182. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-3}
  183. \lr{\phantom{x}}\\\cline{1-1}
  184. \end{array}$}
  185. }$},x=1.6369cm,y=3.341cm]{v13}
  186. \Vertex[style={minimum size=1.0cm,draw=cv14,fill=cfv14,text=clv14,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  187. \raisebox{-.6ex}{$\begin{array}[b]{*{3}c}\cline{1-3}
  188. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-3}
  189. \lr{\phantom{x}}\\\cline{1-1}
  190. \lr{\phantom{x}}\\\cline{1-1}
  191. \end{array}$}
  192. }$},x=1.2197cm,y=2.7088cm]{v14}
  193. \Vertex[style={minimum size=1.0cm,draw=cv15,fill=cfv15,text=clv15,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  194. \raisebox{-.6ex}{$\begin{array}[b]{*{3}c}\cline{1-3}
  195. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-3}
  196. \lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-2}
  197. \end{array}$}
  198. }$},x=0.4954cm,y=3.3487cm]{v15}
  199. \Vertex[style={minimum size=1.0cm,draw=cv16,fill=cfv16,text=clv16,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  200. \raisebox{-.6ex}{$\begin{array}[b]{*{4}c}\cline{1-4}
  201. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-4}
  202. \end{array}$}
  203. }$},x=2.7524cm,y=4.3589cm]{v16}
  204. \Vertex[style={minimum size=1.0cm,draw=cv17,fill=cfv17,text=clv17,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  205. \raisebox{-.6ex}{$\begin{array}[b]{*{4}c}\cline{1-4}
  206. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-4}
  207. \lr{\phantom{x}}\\\cline{1-1}
  208. \end{array}$}
  209. }$},x=1.9277cm,y=4.0643cm]{v17}
  210. \Vertex[style={minimum size=1.0cm,draw=cv18,fill=cfv18,text=clv18,shape=circle},LabelOut=false,L=\hbox{${\def\lr#1{\multicolumn{1}{|@{\hspace{.6ex}}c@{\hspace{.6ex}}|}{\raisebox{-.3ex}{$#1$}}}
  211. \raisebox{-.6ex}{$\begin{array}[b]{*{5}c}\cline{1-5}
  212. \lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}&\lr{\phantom{x}}\\\cline{1-5}
  213. \end{array}$}
  214. }$},x=3.1036cm,y=5.0cm]{v18}
  215. %
  216. \Edge[lw=0.1cm,style={post, bend right,color=cv0v1,},](v0)(v1)
  217. \Edge[lw=0.1cm,style={post, bend right,color=cv1v2,},](v1)(v2)
  218. \Edge[lw=0.1cm,style={post, bend right,color=cv1v6,},](v1)(v6)
  219. \Edge[lw=0.1cm,style={post, bend right,color=cv2v3,},](v2)(v3)
  220. \Edge[lw=0.1cm,style={post, bend right,color=cv2v7,},](v2)(v7)
  221. \Edge[lw=0.1cm,style={post, bend right,color=cv3v4,},](v3)(v4)
  222. \Edge[lw=0.1cm,style={post, bend right,color=cv3v8,},](v3)(v8)
  223. \Edge[lw=0.1cm,style={post, bend right,color=cv4v5,},](v4)(v5)
  224. \Edge[lw=0.1cm,style={post, bend right,color=cv4v9,},](v4)(v9)
  225. \Edge[lw=0.1cm,style={post, bend right,color=cv6v7,},](v6)(v7)
  226. \Edge[lw=0.1cm,style={post, bend right,color=cv6v12,},](v6)(v12)
  227. \Edge[lw=0.1cm,style={post, bend right,color=cv7v8,},](v7)(v8)
  228. \Edge[lw=0.1cm,style={post, bend right,color=cv7v10,},](v7)(v10)
  229. \Edge[lw=0.1cm,style={post, bend right,color=cv7v13,},](v7)(v13)
  230. \Edge[lw=0.1cm,style={post, bend right,color=cv8v9,},](v8)(v9)
  231. \Edge[lw=0.1cm,style={post, bend right,color=cv8v11,},](v8)(v11)
  232. \Edge[lw=0.1cm,style={post, bend right,color=cv8v14,},](v8)(v14)
  233. \Edge[lw=0.1cm,style={post, bend right,color=cv10v11,},](v10)(v11)
  234. \Edge[lw=0.1cm,style={post, bend right,color=cv10v15,},](v10)(v15)
  235. \Edge[lw=0.1cm,style={post, bend right,color=cv12v13,},](v12)(v13)
  236. \Edge[lw=0.1cm,style={post, bend right,color=cv12v16,},](v12)(v16)
  237. \Edge[lw=0.1cm,style={post, bend right,color=cv13v14,},](v13)(v14)
  238. \Edge[lw=0.1cm,style={post, bend right,color=cv13v15,},](v13)(v15)
  239. \Edge[lw=0.1cm,style={post, bend right,color=cv13v17,},](v13)(v17)
  240. \Edge[lw=0.1cm,style={post, bend right,color=cv16v17,},](v16)(v17)
  241. \Edge[lw=0.1cm,style={post, bend right,color=cv16v18,},](v16)(v18)
  242. %
  243. \end{tikzpicture}
  244.  
  245. \end{document}
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