Imperfect higher member

Definition 6.4 . (a) A perfect higher member (of single coronoids) is defined by having the same formula as a Wold k > 1) circumscribed perfect ground form, (b) An imperfect higher member has the same formula as a A —fold circumscribed imperfect ground form. 

If X < -1, then B is an imperfect higher member, and an isomer of B can be produced by ( x —l)-fold circumscribing of the respective ground form. The formula of this ground form is retrieved as x+1 ... 

Instead of this elaborate specification of the (tiq 5q) formulas we shall be able to give a full account of them in terms of comprehensive spedfications and explicit expressions. All the three "pictures" are going to be invoked the Harary—Harborth—, the Balaban— and the new picture. But first some additional properties of the systems under consideration are needed. In this connection we shall introduce two subclasses of the ground forms and higher members perfect and imperfect. 

The definitions of perfect and imperfect coronoid higher members follow. 

Figure 3 shows a dot diagram for the formulas of single coronoids as in Fig. 5.8. However, more detailed information about the extremal (A) systems is included formulas for ground forms and higher members, both perfect and imperfect, are indicated.

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