Benzenoids branched catafusenes

Fig. 8.2 Examples of benzenoids and their dualist graphs trees for non-branched catafusenes (top three benzenoids), branched catafusenes (middle row), a perifusene and a coronafusene (bottom row)...

Table 16. Numbers of branched catafusenes benzenoids and helicenes...

All nmi-branched catafusenes have C = Cj = 0, and sj = 0. There are srane interesting correlations among r and r, illustrating the grouping of catafusenes into several classes with common structural features of their dualists, as discussed in detail in two side-by-side papers (Balaban and Randic 2(X)8 Randic and Balaban 2008). Whenever a benzenoid ring in catafusenes or perifusenes has at least three... 

In the present section the catafusenes (catacondensed simply connected poly hexes cf. Sect. 5.1) are treated. However, in contrast to the Harary-Read numbers (first column of Table 7) we shall be interested in the numbers of unbranched and branched systems separately. The numbers of unbranched catafusenes (Table 10) are known from algebraic formulas (cf. Sect. 5.2), but now we are interested in the unbranched catacondensed benzenoids and helicenes separately. Likewise we shall treat the numbers of branched catacondensed benzenoids and helicenes separately. 

Branched benzenoids Catafusenes with five condensed rings 01(.) [2/12] 1... 

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