Computing topological descriptors of the graph A4(Co3, 3B)

Mahmood, Ellaf Hassan; Aubad, Ali A.

doi:10.47974/JDMSC-2715

Open Access Research Article

Computing topological descriptors of the graph A4(Co3, 3B)

Ellaf Hassan Mahmoodelaf.hasan1203a@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile → , ^*Ali A. AubadCorresponding authorali.abd@sc.uobaghdad.edu.iqDepartment of Mathematics College of Science University of BaghdadDepartment of Mathematics College of Science University of BaghdadBaghdad, IraqView full profile →

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pp. 2131–2138Vol. 29Issue 5May 2026DOI: 10.47974/JDMSC-2715 Crossmark XML

Received:: 01 Jan 2026
Published Online:: 22 May 2026
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-2715
Pages:: 2131–2138

Abstract

This paper presents a quantification of the complex geometry of symmetric A4-graph constructed from Conway group Co3 and a particular category of Co3 by calculating its complete topological descriptors. The primary objective is to characterize this graph using molecular topology by calculating a suite of significant topological indices. Furthermore, we derive the Hosoya and Schultz polynomials, which serve as generating functions for the full distance graph and degree spectra. A principal result is the establishment of closed-form relationships between these topological descriptors and fundamental group characteristics, notably conjugacy-class cardinality and vertex-degree distribution, revealing that the graph’s metric architecture is predetermined by its algebraic origin.

Keywords

Conway group A4-graph Topological indices Hosoya polynomial

Subject Classifications

20D0805C2505C0905C31

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