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Research Paper | Physics | India | Volume 13 Issue 9, September 2024 | Rating: 4.6 / 10

On Zagreb Indices of Honeycomb Networks

N. K. Raut

Abstract: The First and Second Zagreb Indices in Graph Theory: The first and second Zagreb indices are important degree-based topological indices used in graph theory. They are defined as follows: First Zagreb Index (M1): $M_{1} (G) = \sum_{u v \in E (G)} (d_{u} + d_{v})$ Second Zagreb Index (M2): $M_{2} (G) = \sum_{u v \in E (G)} (d_{u} \times d_{v})$ In this paper, we explore several degree-reverse Revan reduced reverse leap eccentricity-based first, second, third, fourth, and fifth Zagreb indices of honeycomb networks. Additionally, we investigate the degree-based Zagreb indices of the line graph of the subdivision graph of honeycomb networks.

Keywords: Degree, honeycomb network, leap degree, line graph, Revan degree, reverse degree, Zagreb indices

Edition: Volume 13 Issue 9, September 2024,

Pages: 1491 - 1494

On Zagreb Indices of Honeycomb Networks

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