Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/sitepackages/networkx/generators/interval_graph.py @ 0:4f3585e2f14b draft default tip
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author  shellac 

date  Mon, 22 Mar 2021 18:12:50 +0000 
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1 """ 
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2 Generators for interval graph. 
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3 """ 
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4 from collections.abc import Sequence 
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5 import networkx as nx 
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6 
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7 __all__ = ["interval_graph"] 
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8 
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9 
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10 def interval_graph(intervals): 
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11 """ Generates an interval graph for a list of intervals given. 
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12 
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13 In graph theory, an interval graph is an undirected graph formed from a set 
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14 of closed intervals on the real line, with a vertex for each interval 
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15 and an edge between vertices whose intervals intersect. 
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16 It is the intersection graph of the intervals. 
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17 
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18 More information can be found at: 
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19 https://en.wikipedia.org/wiki/Interval_graph 
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20 
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21 Parameters 
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22  
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23 intervals : a sequence of intervals, say (l, r) where l is the left end, 
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24 and r is the right end of the closed interval. 
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25 
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26 Returns 
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27  
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28 G : networkx graph 
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29 
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30 Examples 
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31  
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32 >>> intervals = [(2, 3), [1, 4], (2, 3), (4, 6)] 
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33 >>> G = nx.interval_graph(intervals) 
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34 >>> sorted(G.edges) 
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35 [((2, 3), (1, 4)), ((2, 3), (2, 3)), ((1, 4), (2, 3)), ((1, 4), (4, 6))] 
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36 
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37 Raises 
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38  
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39 :exc:`TypeError` 
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40 if `intervals` contains None or an element which is not 
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41 collections.abc.Sequence or not a length of 2. 
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42 :exc:`ValueError` 
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43 if `intervals` contains an interval such that min1 > max1 
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44 where min1,max1 = interval 
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45 """ 
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46 intervals = list(intervals) 
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47 for interval in intervals: 
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48 if not (isinstance(interval, Sequence) and len(interval) == 2): 
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49 raise TypeError( 
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50 "Each interval must have length 2, and be a " 
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51 "collections.abc.Sequence such as tuple or list." 
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52 ) 
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53 if interval[0] > interval[1]: 
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54 raise ValueError( 
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55 f"Interval must have lower value first. " f"Got {interval}" 
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56 ) 
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57 
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58 graph = nx.Graph() 
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59 
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60 tupled_intervals = [tuple(interval) for interval in intervals] 
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61 graph.add_nodes_from(tupled_intervals) 
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62 
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63 while tupled_intervals: 
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64 min1, max1 = interval1 = tupled_intervals.pop() 
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65 for interval2 in tupled_intervals: 
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66 min2, max2 = interval2 
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67 if max1 >= min2 and max2 >= min1: 
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68 graph.add_edge(interval1, interval2) 
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69 return graph 