Una nueva definición de la matriz de adyacencia que contempla la presencia de heteroátomos del segundo nivel cuántico

It is proposed a modification in the definition of the adjacency matrix for trees of ponderated arches and apices, that is, acyclic molecules which contain heteroatoms and consequently, double and triple bonds between them or with carbon atoms. The objective is to assign a weight k not only to multiple bonds but also a weight h to every apex. The values of these parameters are obtained when the characteristic polynomial, and consequently the adjacency matrix, really maintain one property of the Hosoya index.