annotate env/share/doc/networkx-2.5/examples/graph/plot_words.py @ 0:4f3585e2f14b draft default tip

"planemo upload commit 60cee0fc7c0cda8592644e1aad72851dec82c959"
author shellac
date Mon, 22 Mar 2021 18:12:50 +0000
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1 """
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2 ==================
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3 Words/Ladder Graph
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4 ==================
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5
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6 Generate an undirected graph over the 5757 5-letter words in the datafile
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7 `words_dat.txt.gz`. Two words are connected by an edge if they differ in one
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8 letter, resulting in 14,135 edges. This example is described in Section 1.1 of
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9
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10 Donald E. Knuth, "The Stanford GraphBase: A Platform for Combinatorial
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11 Computing", ACM Press, New York, 1993.
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12 http://www-cs-faculty.stanford.edu/~knuth/sgb.html
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13
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14 The data file can be found at:
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15
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16 - https://github.com/networkx/networkx/blob/master/examples/graph/words_dat.txt.gz
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17 """
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18
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19 import gzip
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20 from string import ascii_lowercase as lowercase
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21
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22 import networkx as nx
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23
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24
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25 def generate_graph(words):
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26 G = nx.Graph(name="words")
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27 lookup = {c: lowercase.index(c) for c in lowercase}
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28
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29 def edit_distance_one(word):
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30 for i in range(len(word)):
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31 left, c, right = word[0:i], word[i], word[i + 1 :]
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32 j = lookup[c] # lowercase.index(c)
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33 for cc in lowercase[j + 1 :]:
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34 yield left + cc + right
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35
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36 candgen = (
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37 (word, cand)
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38 for word in sorted(words)
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39 for cand in edit_distance_one(word)
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40 if cand in words
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41 )
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42 G.add_nodes_from(words)
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43 for word, cand in candgen:
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44 G.add_edge(word, cand)
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45 return G
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46
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47
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48 def words_graph():
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49 """Return the words example graph from the Stanford GraphBase"""
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50 fh = gzip.open("words_dat.txt.gz", "r")
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51 words = set()
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52 for line in fh.readlines():
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53 line = line.decode()
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54 if line.startswith("*"):
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55 continue
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56 w = str(line[0:5])
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57 words.add(w)
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58 return generate_graph(words)
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59
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60
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61 G = words_graph()
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62 print("Loaded words_dat.txt containing 5757 five-letter English words.")
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63 print("Two words are connected if they differ in one letter.")
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64 print(f"Graph has {nx.number_of_nodes(G)} nodes with {nx.number_of_edges(G)} edges")
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65 print(f"{nx.number_connected_components(G)} connected components")
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66
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67 for (source, target) in [("chaos", "order"), ("nodes", "graph"), ("pound", "marks")]:
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68 print(f"Shortest path between {source} and {target} is")
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69 try:
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70 sp = nx.shortest_path(G, source, target)
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71 for n in sp:
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72 print(n)
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73 except nx.NetworkXNoPath:
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74 print("None")