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Computing fourth atom-bond connectivity index of v-phenylenic nanotubes and nanotori.

Mohammad Reza Farahani

Open publisher page 27 citations

Abstract

Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is atom-bond connectivity (ABC) index defined as ABC(G)= [formula:see text], in which degree of vertex v denoted by dv . Recently, a new version of atom-bond connectivity (ABC4) index was introduced by M. Ghorbani et.al in 2010 and is defined as ABC4(G)= [formula: see text], where Su = [formula: see text] and NG(u)=[formula: see text]. In this paper we compute this new topological index for v-phenylenic nanotube and nanotori.

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What this paper is about

Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is atom-bond connectivity (ABC) index defined as ABC(G)= [formula:see text], in which degree of vertex v denoted by dv . Recently, a new version of atom-bond connectivity (ABC4) index was introduced by M. Ghorbani et.al in 2010 and is defined as ABC4(G)= [formula: see text], where Su = [formula: see text] and NG(u)=[formula: see text]. In this paper we compute this new topological index for v-phenylenic nanotube and nanotori.

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Available abstract

Among topological descriptors connectivity topological indices are very important and they have a prominent role in chemistry. One of them is atom-bond connectivity (ABC) index defined as ABC(G)= [formula:see text], in which degree of vertex v denoted by dv . Recently, a new version of atom-bond connectivity (ABC4) index was introduced by M. Ghorbani et.al in 2010 and is defined as ABC4(G)= [formula: see text], where Su = [formula: see text] and NG(u)=[formula: see text]. In this paper we compute this new topological index for v-phenylenic nanotube and nanotori.

Key concepts: Topological index, Atom (system on chip), Vertex (graph theory), Index (typography), Combinatorics, Physics, Mathematics, Chemistry

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