NetworkX系列教程(2)-graph生成器

小书匠Graph图论

本节主要讲解如何快速使用内置的方法生成graph,官方的文档在这里,里面包含了networkX的所有graph生成器,下面的内容只是我节选的内容,并将graph画出来而已.

声明,文中重复使用了以下代码块 ,现在统一注释在这里:

1. plt.subplot(221) #生成2*2的组图,并且当前子图在2*2矩阵的第一个位置.第二个位置是222 
   

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2. plt.title('complete_graph') #子图的标题 
   

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3. nx.draw(G, with_labels=True, font_weight='bold') #将graph画出来 
   

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4. plt.axis('on') #需要坐标轴,以便框住graph 
   

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5. plt.xticks([]) #横坐标不需要刻度 
   

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6. plt.yticks([]) #纵坐标不需要刻度 
   

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目录:

• 2.生成graph
  • 2.1小图图集的生成器
  • 2.2调用函数生成经典的graph
  • 2.3格子graph
  • 2.4各种已经被命名的小graph
  • 2.5使用随机graph生成器
  • 2.6社交网络
  • 2.7社区
  • 2.8树

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注意:如果代码出现找不库,请返回第一个教程,把库文件导入.

2.生成graph

2.1小图图集的生成器

1. #graph_atlas的图已经被定义,只需要按标号取出来就可以,下面将前10个取出来 
   

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2. plt.subplots(2,5,figsize=(15,6)) 
   

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3. for ind in range(10): 
   

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4. G.clear() 
   

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5. ---

6. G=nx.graph_atlas(ind) 
   

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7. plt.subplot(2,5,ind+1) 
   

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8. nx.draw(G,with_labels=True) 
   

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9. ---

10. #下面是设置图片 
    

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11. plt.axis('on') 
    

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12. plt.title('graph_atlas_%s'%ind) 
    

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13. plt.xticks([]) 
    

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14. plt.yticks([]) 
    

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15. plt.show() 
    

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16. plt.close() 
    

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小图图集的生成器

2.2调用函数生成经典的graph

1. plt.subplots(2,2,figsize=(15,6)) 
   

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2. ---

3. K_5 = nx.complete_graph(5) 
   

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4. plt.subplot(221) 
   

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5. plt.title('complete_graph') 
   

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6. nx.draw(K_5, with_labels=True, font_weight='bold') 
   

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7. plt.axis('on') 
   

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8. plt.xticks([]) 
   

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9. plt.yticks([]) 
   

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10. ---

11. K_3_5 = nx.complete_bipartite_graph(3, 5) 
    

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12. plt.subplot(222) 
    

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13. plt.title('complete_bipartite_graph') 
    

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14. nx.draw(K_3_5, with_labels=True, font_weight='bold') 
    

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15. plt.axis('on') 
    

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16. plt.xticks([]) 
    

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17. plt.yticks([]) 
    

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18. ---

19. barbell = nx.barbell_graph(10, 10) 
    

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20. plt.subplot(223) 
    

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21. plt.title('barbell_graph') 
    

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22. nx.draw(barbell, with_labels=True, font_weight='bold') 
    

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23. plt.axis('on') 
    

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24. plt.xticks([]) 
    

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25. plt.yticks([]) 
    

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26. ---

27. lollipop = nx.lollipop_graph(10, 20) 
    

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28. plt.subplot(224) 
    

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29. plt.title('lollipop_graph') 
    

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30. nx.draw(lollipop, with_labels=True, font_weight='bold') 
    

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31. plt.axis('on') 
    

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32. plt.xticks([]) 
    

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33. plt.yticks([]) 
    

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34. ---

35. plt.show() 
    

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经典的graph

2.3格子graph

1. G.clear() 
   

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2. ---

3. plt.subplots(2,3,figsize=(15,6)) 
   

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4. #二维网格图 
   

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5. G=nx.grid_2d_graph(2,3) 
   

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6. plt.subplot(2,3,1) 
   

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7. nx.draw(G,with_labels=True) 
   

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8. plt.title('grid_2d_graph') 
   

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9. plt.axis('on') 
   

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10. plt.xticks([]) 
    

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11. plt.yticks([]) 
    

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12. ---

13. #n维网格图 
    

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14. grid_graph = nx.grid_graph(dim=[1, 3, 4]) 
    

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15. plt.subplot(2,3,2) 
    

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16. nx.draw(grid_graph,with_labels=True) 
    

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17. plt.title('grid_graph') 
    

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18. plt.axis('on') 
    

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19. plt.xticks([]) 
    

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20. plt.yticks([]) 
    

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21. ---

22. #m×n的六角形格子图。 
    

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23. G=nx.hexagonal_lattice_graph(2,3) 
    

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24. plt.subplot(2,3,3) 
    

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25. nx.draw(G,with_labels=True) 
    

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26. plt.title('hexagonal_lattice_graph') 
    

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27. plt.axis('on') 
    

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28. plt.xticks([]) 
    

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29. plt.yticks([]) 
    

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30. ---

31. #n维超立方体图形。 
    

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32. G=nx.hypercube_graph(3) 
    

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33. plt.subplot(2,3,4) 
    

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34. nx.draw(G,with_labels=True) 
    

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35. plt.title('hypercube_graph') 
    

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36. plt.axis('on') 
    

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37. plt.xticks([]) 
    

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38. plt.yticks([]) 
    

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39. ---

40. #三角格子图 
    

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41. G=nx.triangular_lattice_graph(1,3) 
    

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42. plt.subplot(2,3,5) 
    

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43. nx.draw(G,with_labels=True) 
    

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44. plt.title('hypercube_graph') 
    

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45. plt.axis('on') 
    

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46. plt.xticks([]) 
    

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47. plt.yticks([]) 
    

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48. ---

49. plt.show() 
    

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格子graph

2.4各种已经被命名的小graph

1. plt.subplots(2,2,figsize=(15,6)) 
   

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2. ---

3. petersen = nx.petersen_graph() 
   

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4. plt.subplot(221) 
   

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5. plt.title('petersen_graph') 
   

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6. nx.draw(petersen, with_labels=True, font_weight='bold') 
   

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7. plt.axis('on') 
   

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8. plt.xticks([]) 
   

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9. plt.yticks([]) 
   

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10. ---

11. tutte = nx.tutte_graph() 
    

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12. plt.subplot(222) 
    

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13. plt.title('tutte_graph') 
    

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14. nx.draw(tutte, with_labels=True, font_weight='bold') 
    

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15. plt.axis('on') 
    

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16. plt.xticks([]) 
    

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17. plt.yticks([]) 
    

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18. ---

19. maze = nx.sedgewick_maze_graph() 
    

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20. plt.subplot(223) 
    

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21. plt.title('sedgewick_maze_graph') 
    

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22. nx.draw(maze, with_labels=True, font_weight='bold') 
    

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23. plt.axis('on') 
    

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24. plt.xticks([]) 
    

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25. plt.yticks([]) 
    

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26. ---

27. tet = nx.tetrahedral_graph() 
    

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28. plt.subplot(224) 
    

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29. plt.title('tetrahedral_graph') 
    

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30. nx.draw(tet, with_labels=True, font_weight='bold') 
    

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31. plt.axis('on') 
    

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32. plt.xticks([]) 
    

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33. plt.yticks([]) 
    

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34. ---

35. plt.show() 
    

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已经被命名的小graph

2.5使用随机graph生成器

1. plt.subplots(2,2,figsize=(15,6)) 
   

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2. ---

3. er = nx.erdos_renyi_graph(10, 0.15) 
   

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4. plt.subplot(221) 
   

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5. plt.title('erdos_renyi_graph') 
   

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6. nx.draw(er, with_labels=True, font_weight='bold') 
   

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7. plt.axis('on') 
   

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8. plt.xticks([]) 
   

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9. plt.yticks([]) 
   

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10. ---

11. ws = nx.watts_strogatz_graph(30, 3, 0.1) 
    

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12. plt.subplot(222) 
    

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13. plt.title('watts_strogatz_graph') 
    

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14. nx.draw(ws, with_labels=True, font_weight='bold') 
    

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15. plt.axis('on') 
    

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16. plt.xticks([]) 
    

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17. plt.yticks([]) 
    

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18. ---

19. ba = nx.barabasi_albert_graph(10, 5) 
    

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20. plt.subplot(223) 
    

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21. plt.title('barabasi_albert_graph') 
    

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22. nx.draw(ba, with_labels=True, font_weight='bold') 
    

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23. plt.axis('on') 
    

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24. plt.xticks([]) 
    

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25. plt.yticks([]) 
    

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26. ---

27. red = nx.random_lobster(10, 0.9, 0.9) 
    

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28. plt.subplot(224) 
    

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29. plt.title('random_lobster') 
    

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30. nx.draw(red, with_labels=True, font_weight='bold') 
    

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31. plt.axis('on') 
    

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32. plt.xticks([]) 
    

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33. plt.yticks([]) 
    

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34. ---

35. plt.show() 
    

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随机graph生成器

2.6社交网络

1. plt.subplots(2,2,figsize=(15,6)) 
   

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2. ---

3. #返回Zachary的空手道俱乐部图。 
   

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4. G.clear() 
   

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5. G = nx.karate_club_graph() 
   

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6. plt.subplot(1,2,1) 
   

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7. nx.draw(G,with_labels=True) 
   

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8. plt.title('karate_club_graph') 
   

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9. plt.axis('on') 
   

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10. plt.xticks([]) 
    

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11. plt.yticks([]) 
    

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12. ---

13. #戴维斯南方女性社交网络。 
    

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14. G.clear() 
    

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15. G = nx.davis_southern_women_graph() 
    

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16. plt.subplot(1,2,2) 
    

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17. nx.draw(G,with_labels=True) 
    

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18. plt.title('davis_southern_women_graph') 
    

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19. plt.axis('on') 
    

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20. plt.xticks([]) 
    

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21. plt.yticks([]) 
    

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22. ---

23. plt.show() 
    

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社交网络

2.7社区

1. plt.subplots(2,2,figsize=(15,6)) 
   

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2. ---

3. er = nx.caveman_graph(3,3) 
   

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4. plt.subplot(221) 
   

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5. plt.title('caveman_graph') 
   

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6. nx.draw(er, with_labels=True, font_weight='bold') 
   

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7. plt.axis('on') 
   

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8. plt.xticks([]) 
   

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9. plt.yticks([]) 
   

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10. ---

11. ws = nx.random_partition_graph([10,10,10],.25,.01) 
    

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12. plt.subplot(222) 
    

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13. plt.title('random_partition_graph') 
    

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14. nx.draw(ws, with_labels=True, font_weight='bold') 
    

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15. plt.axis('on') 
    

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16. plt.xticks([]) 
    

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17. plt.yticks([]) 
    

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18. ---

19. ba = nx.ring_of_cliques(8, 4) 
    

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20. plt.subplot(223) 
    

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21. plt.title('ring_of_cliques') 
    

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22. nx.draw(ba, with_labels=True, font_weight='bold') 
    

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23. plt.axis('on') 
    

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24. plt.xticks([]) 
    

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25. plt.yticks([]) 
    

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26. ---

27. red = nx.windmill_graph(4,5) 
    

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28. plt.subplot(224) 
    

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29. plt.title('windmill_graph') 
    

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30. nx.draw(red, with_labels=True, font_weight='bold') 
    

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31. plt.axis('on') 
    

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32. plt.xticks([]) 
    

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33. plt.yticks([]) 
    

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34. ---

35. plt.show() 
    

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社区

2.8树

1. #返回随机树 
   

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2. G.clear() 
   

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3. G = nx.random_tree(10) 
   

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4. nx.draw(G,with_labels=True) 
   

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5. plt.title('random_tree') 
   

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6. plt.axis('on') 
   

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7. plt.xticks([]) 
   

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8. plt.yticks([]) 
   

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9. ---

10. plt.show() 
    

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树