On Computing Eccentricity Based Topological Invariants of Tickysim SpiNNaker Model Sheet

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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Publication Details

Journal
Electronic Journal of Applied Mathematics
Published
2024-12-26
DOI
https://doi.org/10.61383/ejam.20242472
Primary Topic
Topological and Geometric Data Analysis
Type
article
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article

On Computing Eccentricity Based Topological Invariants of Tickysim SpiNNaker Model Sheet

Saira Munir, Hasnain Raza, Hifza Iqbal
Electronic Journal of Applied Mathematics
Topological and Geometric Data Analysis
article

On Computing Eccentricity Based Topological Invariants of Tickysim SpiNNaker Model Sheet

Saira Munir, Hasnain Raza, Hifza Iqbal
article en

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.

Electronic Journal of Applied MathematicsVol. 2(4)
University of Lahore (PK)
Openalex Percentile: Top 68%
Topological and Geometric Data Analysis
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