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Croatica Chemica Acta, Vol.81 No.2 June 2008. -

The generating function of the sequence that represents the number of graph vertices at a given

distance from the root is called the spherical growth function of the rooted graph. This mathematical

notion is first applied to finite and infinite graphs representing n helicenes, the simplest

nonplanar unbranched catacondensed benzenoid hydrocarbons. The calculation of growth

function is then generalized to graphs that have an arbitrary connected graph in place of each

hexagon and therefore represent a subclass of fasciagraphs. Also, the connection between the

growth function of a finite graph and its Wiener index is established.

growth function; polyhex; helicene; benzenoid graph; fasciagraph; Wiener index



Autor: Agnes Pisanski-Peterlin - ; Faculty of Arts, University of Ljubljana, Slovenia Tomaž Pisanski - ; IMFM, University of Ljubljana,

Fuente: http://hrcak.srce.hr/



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