Friday, September 24, 2021

GRAPHS & POLYGONS

Trivalent and higher valent graphs follow the relations V - E + F = 1 and nF = 2E and pV = 2E, but polygons and other 2-connected graphs do not follow nF = 2E. Triangulated polygons all follow nF = 2E and pV = 2E etc. All the hydrides of C when polygonalized with a connection halo all follow these 3 relations except for divalent C molecules. There needs to be a way for accommodating 2-connection in such a scheme so that nF = 2E for all the graphs and hydrides of C. 

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