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Valence Connectivity versus Randić, Zagreb and Modified Zagreb Index: A Linear Algorithm to Check Discriminative Properties of Indices in Acyclic Molecular Graphs

Damir Vukičević ; Department of Mathematics, Faculty of Science, University of Split, Nikole Tesle 12, HR-21000 Split, Croatia
Ante Graovac ; Department of Chemistry, Faculty of Science, University of Split, Nikole Tesle 12, HR-21000 Split, Croatia

Sažetak

Valence connectivity in molecular graphs is described by 10-tuples μ_ij where μ_ij denotes the number of edges connecting vertices of valences i and j. A shorter description is provided by 4-tuples containing the number of vertices and values of Randić, Zagreb and modified Zagreb indices. Surprisingly, these two descriptions are in one-to-one correspondence for all acyclic molecules of practical interest, i.e., for all those having no more than 100 atoms. This result was achieved by developing an efficient algorithm that is linear in the number of 10-tuples.

Ključne riječi

valence connectivity; acyclic molecular graphs; topological indices

Hrčak ID:

102951

URI

https://hrcak.srce.hr/102951

Datum izdavanja:

25.10.2004.

Posjeta: 1.274 *