Mercurial > repos > shellac > sam_consensus_v3
annotate env/lib/python3.9/site-packages/networkx/algorithms/boundary.py @ 0:4f3585e2f14b draft default tip
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author | shellac |
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date | Mon, 22 Mar 2021 18:12:50 +0000 |
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1 """Routines to find the boundary of a set of nodes. |
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2 |
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3 An edge boundary is a set of edges, each of which has exactly one |
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4 endpoint in a given set of nodes (or, in the case of directed graphs, |
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5 the set of edges whose source node is in the set). |
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6 |
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7 A node boundary of a set *S* of nodes is the set of (out-)neighbors of |
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8 nodes in *S* that are outside *S*. |
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9 |
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10 """ |
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11 from itertools import chain |
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12 |
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13 __all__ = ["edge_boundary", "node_boundary"] |
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14 |
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15 |
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16 def edge_boundary(G, nbunch1, nbunch2=None, data=False, keys=False, default=None): |
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17 """Returns the edge boundary of `nbunch1`. |
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18 |
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19 The *edge boundary* of a set *S* with respect to a set *T* is the |
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20 set of edges (*u*, *v*) such that *u* is in *S* and *v* is in *T*. |
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21 If *T* is not specified, it is assumed to be the set of all nodes |
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22 not in *S*. |
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23 |
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24 Parameters |
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25 ---------- |
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26 G : NetworkX graph |
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27 |
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28 nbunch1 : iterable |
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29 Iterable of nodes in the graph representing the set of nodes |
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30 whose edge boundary will be returned. (This is the set *S* from |
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31 the definition above.) |
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32 |
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33 nbunch2 : iterable |
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34 Iterable of nodes representing the target (or "exterior") set of |
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35 nodes. (This is the set *T* from the definition above.) If not |
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36 specified, this is assumed to be the set of all nodes in `G` |
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37 not in `nbunch1`. |
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38 |
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39 keys : bool |
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40 This parameter has the same meaning as in |
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41 :meth:`MultiGraph.edges`. |
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42 |
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43 data : bool or object |
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44 This parameter has the same meaning as in |
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45 :meth:`MultiGraph.edges`. |
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46 |
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47 default : object |
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48 This parameter has the same meaning as in |
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49 :meth:`MultiGraph.edges`. |
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50 |
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51 Returns |
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52 ------- |
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53 iterator |
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54 An iterator over the edges in the boundary of `nbunch1` with |
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55 respect to `nbunch2`. If `keys`, `data`, or `default` |
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56 are specified and `G` is a multigraph, then edges are returned |
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57 with keys and/or data, as in :meth:`MultiGraph.edges`. |
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58 |
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59 Notes |
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60 ----- |
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61 Any element of `nbunch` that is not in the graph `G` will be |
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62 ignored. |
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63 |
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64 `nbunch1` and `nbunch2` are usually meant to be disjoint, but in |
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65 the interest of speed and generality, that is not required here. |
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66 |
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67 """ |
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68 nset1 = {v for v in G if v in nbunch1} |
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69 # Here we create an iterator over edges incident to nodes in the set |
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70 # `nset1`. The `Graph.edges()` method does not provide a guarantee |
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71 # on the orientation of the edges, so our algorithm below must |
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72 # handle the case in which exactly one orientation, either (u, v) or |
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73 # (v, u), appears in this iterable. |
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74 if G.is_multigraph(): |
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75 edges = G.edges(nset1, data=data, keys=keys, default=default) |
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76 else: |
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77 edges = G.edges(nset1, data=data, default=default) |
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78 # If `nbunch2` is not provided, then it is assumed to be the set |
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79 # complement of `nbunch1`. For the sake of efficiency, this is |
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80 # implemented by using the `not in` operator, instead of by creating |
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81 # an additional set and using the `in` operator. |
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82 if nbunch2 is None: |
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83 return (e for e in edges if (e[0] in nset1) ^ (e[1] in nset1)) |
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84 nset2 = set(nbunch2) |
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85 return ( |
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86 e |
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87 for e in edges |
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88 if (e[0] in nset1 and e[1] in nset2) or (e[1] in nset1 and e[0] in nset2) |
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89 ) |
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90 |
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91 |
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92 def node_boundary(G, nbunch1, nbunch2=None): |
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93 """Returns the node boundary of `nbunch1`. |
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94 |
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95 The *node boundary* of a set *S* with respect to a set *T* is the |
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96 set of nodes *v* in *T* such that for some *u* in *S*, there is an |
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97 edge joining *u* to *v*. If *T* is not specified, it is assumed to |
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98 be the set of all nodes not in *S*. |
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99 |
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100 Parameters |
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101 ---------- |
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102 G : NetworkX graph |
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103 |
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104 nbunch1 : iterable |
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105 Iterable of nodes in the graph representing the set of nodes |
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106 whose node boundary will be returned. (This is the set *S* from |
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107 the definition above.) |
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108 |
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109 nbunch2 : iterable |
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110 Iterable of nodes representing the target (or "exterior") set of |
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111 nodes. (This is the set *T* from the definition above.) If not |
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112 specified, this is assumed to be the set of all nodes in `G` |
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113 not in `nbunch1`. |
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114 |
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115 Returns |
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116 ------- |
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117 set |
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118 The node boundary of `nbunch1` with respect to `nbunch2`. |
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119 |
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120 Notes |
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121 ----- |
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122 Any element of `nbunch` that is not in the graph `G` will be |
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123 ignored. |
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124 |
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125 `nbunch1` and `nbunch2` are usually meant to be disjoint, but in |
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126 the interest of speed and generality, that is not required here. |
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127 |
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128 """ |
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129 nset1 = {n for n in nbunch1 if n in G} |
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130 bdy = set(chain.from_iterable(G[v] for v in nset1)) - nset1 |
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131 # If `nbunch2` is not specified, it is assumed to be the set |
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132 # complement of `nbunch1`. |
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133 if nbunch2 is not None: |
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134 bdy &= set(nbunch2) |
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135 return bdy |