On Computing Eccentricity Based Topological Invariants of Tickysim SpiNNaker Model Sheet

Hifza Iqbal; Hasnain  Raza; Saira  Munir

doi:10.61383/ejam.20242472

Authors

Hifza Iqbal Department of Mathematics and Statistics, The University of Lahore, Defence Road Campus, Lahore, Pakistan Corresponding Author https://orcid.org/0000-0001-7587-7235
Hasnain Raza Department of Mathematics and Statistics, The University of Lahore, Defence Road Campus, Lahore, Pakistan https://orcid.org/0009-0009-2157-9844
Saira Munir Department of Mathematics and Statistics, The University of Lahore, Defence Road Campus, Lahore, Pakistan https://orcid.org/0009-0003-3167-5852

DOI:

https://doi.org/10.61383/ejam.20242472

Keywords:

Tickysim spiNNaker Model Sheet, Eccentricity, GA4, ABC5

Abstract

The study of topological invariants provides a dynamic way to establish a correlation with a structural graph and its attributes. In this form, nodes stand in for the vertices, and edges show the connections between them. In chemical graph theory substances are numerically modeled using topological indices to gain understanding of their physicochemical properties. Its eccentricity is the maximum distance of a random vertex, \(\check{a}\), and vertex, \(\check{e}\), with minimum path. In this work, we compute the Tickysim SpiNNaker Model Sheet's eccentricity based indices. Further, we formulate analytically closed equations of these distance based topological invariants which support in examining the basic structural topology. The data analysis with graphs at certain points are developed using machine learning algorithms.

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