Notes

Chapter 9: Fundamental Physics

Section 12: Evolution of Networks


Number of [possible network] replacements

The total number of distinct replacements that maintain planarity, involve clusters with up to five nodes and have from 3 to 7 dangling connections is {16, 8, 125, 24, 246}. Not maintaining planarity, the numbers are {14, 5, 13, 2, 2}. (See page 1039.)


From Stephen Wolfram: A New Kind of Science [citation]