By Alexandru T. Balaban

ISBN-10: 0120760509

ISBN-13: 9780120760503

Shipped from united kingdom, please permit 10 to 21 company days for arrival. Chemical functions of graph thought, hardcover, stable, Ex-Library: comprises the standard stamps and markings. The airborne dirt and dust jacket has a few scuffs and marks. differently there isn't any harm to the covers, pages or backbone.

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**Sample text**

Thus the numbers of glycols can be found. They are given in Table I, along with the numbers of the two kinds of disubstituted hydrocarbons that we have just considered. The numbers of ethylene derivatives, first found by Blair and Henze,2 are also included. 4 UNSUBSTITUTED ALKANES It might be thought that the enumeration of the alkanes, C„H2„ +2, would present less of a problem than those considered hitherto, in so far as the alkanes are, so to speak, the compounds from which the others that we have considered can be derived; but this is not the case.

ENUMERATION OF ACYCLIC CHEMICAL COMPOUNDS the elements of that row by that permutation. The permutations for the various rows are chosen independently; they need not be all the same, nor need they all be different. (b) Having permuted each row according to the permuatation chosen for it now permute the rows among themselves by a permutation belonging to G. The set of all permutations of the mn elements of M that are obtainable in this way form a group. It is called the ‘wreath product’ of G and H and is denoted by G [H] .

If p = 2k + 1, arrange to have the labelled double bond on the left. There are 58 4. ENUMERATION OF ACYCLIC CHEMICAL COMPOUNDS ■Jf ^ FIG. 14 k ways of choosing it. The group is S 2 [E 2 J and as before we obtain 2 k x 2k+' y 2k • A l {g4(x,y}z) k= 1 +g 2(x 2, 3 2 = 2(i - x 2y 2)2 i s \ x , y , z ) +g2(x 2,y 2,z 2)} . 9) when we eventually collect the terms together. If p = 2k and the labelled bond is not the centre one, arrange for it to be on the left. 14) { g \ x , y ,z ) + g 2(x2, y 2,z2) If the labelled bond is the centre one (Fig.

### Chemical applications of graph theory by Alexandru T. Balaban

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