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. 2021 Jan 19;12:458. doi: 10.1038/s41467-020-20730-y

Table 1.

Properties of the visibility graphs of the synthetic set with equal and unequal number of nodes.

Shape Equal Unequal
Small Large Small Large
n m n m n m n m
Triangular
Rectangular Inline graphic 20 132 20 112 14 64 28 256
 Equilateral Inline graphic 20 128 20 128 16 84 24 192
 Obtuse Inline graphic 20 125 20 138 14 63 29 276
Rectangular
 Square Inline graphic 20 150 20 150 12 54 32 384
 Rectangle Inline graphic 20 148 20 148 16 91 40 592
 Trapeze Inline graphic 20 146 20 144 14 69 34 424
 Rhombus Inline graphic 20 150 20 148 12 54 32 384
Circular
 Circle Inline graphic 20 190 20 190 24 276 32 496
 Ellipse Inline graphic 20 190 20 190 22 231 32 496
 Rotated ellipse Inline graphic 20 190 20 190 20 190 33 528

Note: Each shape in the synthetic set was used to generate a smaller and a larger visibility graph. For each graph, the number of input coordinates (nodes), V=n, and the corresponding number of edges, E=m, are shown.