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Original scientific paper

Chemical Graph Theory. III. On the Permanental Polynomial

D. Kasum ; The Rugjer Boskovic Institute, P.O.B. 1016, 41001 Zagreb, Croatia
N. Trinajstić ; The Rugjer Boskovic Institute, P.O.B. 1016, 41001 Zagreb, Croatia
I. Gutman ; Faculty of Science, University of Kragujevac, P.O.B. 60, 34000 Kragujevac, Serbia, Yugoslavia


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Abstract

The permanental polynomial of a graph is presented. It is
shown how it could be constructed by means of the Sachs formula.
The recursion relations for calculation of the permanental polynomials
of chains (linear polyenes) and cycles (annulenes) are given.
The properties of the coefficients of the permanental polynomial
are discussed. The connection between the characteristic and permanental
polynomials is described.

Keywords

Hrčak ID:

194320

URI

https://hrcak.srce.hr/194320

Publication date:

31.12.1981.

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