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2015•Canadian Journal of ChemistryRequires access

On topological indices of a carbon nanotube network

Martin Bača, Jarmila Horváthová, Martina Mokrišová, Andrea Semaničová–Feňovčíková, Alžbeta Suhányiová

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Abstract

A numerical quantity that characterizes the whole structure of a graph is called a topological index. The concept of Randić (Rα), atom−bond connectivity (ABC), and geometric−arithmetic (GA) topological indices was established in chemical graph theory based on vertex degrees. In this paper, we study a carbon nanotube network that is motivated by the molecular structure of a regular hexagonal lattice and determine Rα, ABC, and GA indices for this important class of networks.

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What this paper is about

A numerical quantity that characterizes the whole structure of a graph is called a topological index. The concept of Randić (Rα), atom−bond connectivity (ABC), and geometric−arithmetic (GA) topological indices was established in chemical graph theory based on vertex degrees. In this paper, we study a carbon nanotube network that is motivated by the molecular structure of a regular hexagonal lattice and determine Rα, ABC, and GA indices for this important class of networks.

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OpenAlex reports 71 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

A numerical quantity that characterizes the whole structure of a graph is called a topological index. The concept of Randić (Rα), atom−bond connectivity (ABC), and geometric−arithmetic (GA) topological indices was established in chemical graph theory based on vertex degrees. In this paper, we study a carbon nanotube network that is motivated by the molecular structure of a regular hexagonal lattice and determine Rα, ABC, and GA indices for this important class of networks.

Key concepts: Topological index, Molecular graph, Carbon nanotube, Hexagonal crystal system, Vertex (graph theory), Graph theory, Chemistry, Topology (electrical circuits)

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