Naslov
The vertex- and edge-connectivity indices of platonic and archimedean molekules

Autori
Trinajstić, Nenad ; Nikolić, Sonja ; Babić, Darko ; Mihalić, Zlatko

Izvornik
Glasnik na hemicarite i tehnolozite na Makedonija (0350-0136) 16 (1997), 1; 43-51

Vrsta, podvrsta i kategorija rada
Radovi u časopisima, članak, znanstveni

Ključne riječi
Archimedean graphs ; Archimedean molecules ; vertex- and edge-cOlUlectivityindices ; Platonic graphs ; Platonic molecules ; d-regular graphs

Sažetak
The first three vertex- and edge-cOlUlectivityindices of Platonic and Archimedean molecules are given. Since these molecules can be modeled by Platonic and Archimedean molecules (hence their names) which in turn can be converted into d-regular planar graphs, the cOlmectivityindices are given in the closed fonns. The vertex-cOlUlectivity indices are expressed in tenns of the number of their vertices (V) while the edge-connectivity indices are expressed also in tenus of the V-numbersand, when needed, in tenus of the vertex-degrees and the number of threemembered cycles. Since the V-numbersand the E-numbers (E-number = the number of edges) as well as the vertexdegrees and the edge-degrees in d-regular graphs are closely related quantities, both the vertex-connectivity indices and the edge-connectivity indices are also expressible in tenus of the E-numbers and edge-degrees. The vertexcOlUlectivityindices and the edge-connectivity indices serve as simple topological descriptors of Platonic and Archimedean molecules.

Izvorni jezik
Engleski

Znanstvena područja
Kemija

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