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2016•AIP conference proceedingsRequires access

On atom bond connectivity index of some molecular graphs

Mohanad Ali Mohammed, Kamel Ariffin Mohd Atan, Abdul Jalil M. Khalaf, Mohamad Rushdan Md. Said, Roslan Hasni

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Abstract

The atom-bond connectivity (ABC) index is one of the newly most studied degree based molecular structure descriptors, which have chemical applications. For a graph G, the ABC index can be defined as ABC(G)=Σuv∈E(G)dv+du−2/dv.du, where du, the degree of the vertex u is the number of edges with u as an end vertex denotes the degree of a vertex u in G. In this paper, we establish the general formulas for the atom bond connectivity index of molecular graphs of alkenes and cycloalkenes.

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The atom-bond connectivity (ABC) index is one of the newly most studied degree based molecular structure descriptors, which have chemical applications. For a graph G, the ABC index can be defined as ABC(G)=Σuv∈E(G)dv+du−2/dv.du, where du, the degree of the vertex u is the number of edges with u as an end vertex denotes the degree of a vertex u in G. In this paper, we establish the general formulas for the atom bond connectivity index of molecular graphs of alkenes and cycloalkenes.

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Available abstract

The atom-bond connectivity (ABC) index is one of the newly most studied degree based molecular structure descriptors, which have chemical applications. For a graph G, the ABC index can be defined as ABC(G)=Σuv∈E(G)dv+du−2/dv.du, where du, the degree of the vertex u is the number of edges with u as an end vertex denotes the degree of a vertex u in G. In this paper, we establish the general formulas for the atom bond connectivity index of molecular graphs of alkenes and cycloalkenes.

Key concepts: Vertex (graph theory), Topological index, Combinatorics, Molecular graph, Atom (system on chip), Index (typography), Degree (music), Connectivity

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