On the zagreb connection indices of hex and honeycomb networks

Article type: Research Article

Authors: Raza, Zahid^{; *} | Bataineh, Mohammad Saleh | Sukaiti, Mark Essa

Affiliations: Department of Mathematics, College of Sciences, University of Sharjah, Sharjah, United Arab Emirates

Correspondence: [*] Corresponding author. Department of Mathematics, College of Sciences, University of Sharjah, P. O. Box 27272, Sharjah, United Arab Emirates. E-mail: zraza@sharjah.ac.ae.

Abstract: Regular plane tessellations can easily be constructed by repeating regular polygons. This design is of extreme importance for direct interconnection networks as it yields high overall performance. The honeycomb and the hexagonal networks are two such popular mesh-derived parallel networks. The first and second Zagreb indices are among the most studied topological indices. We now consider analogous graph invariants, based on the second degrees of vertices, called Zagreb connection indices. The main objective of this paper is to compute these connection indices for the Hex, Hex derived and some honeycomb networks.

Keywords: Honeycomb network, hexagonal network, hex-derived networks, connection number, Zagreb connection indices

DOI: 10.3233/JIFS-200659

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 3, pp. 4107-4114, 2021