On topological indices and entropy dynamics over zero divisors graphs under Cartesian product of commutative rings

Ali, Shahbaz; Shang, Yilun; Hassan, Noor; S. Alali, Amal

doi:10.1080/27684830.2024.2427339

Research in Mathematics

2024

DOI: 10.1080/27684830.2024.2427339

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On topological indices and entropy dynamics over zero divisors graphs under Cartesian product of commutative rings

Shahbaz Ali,

Yilun Shang,

Noor Hassan

et al.

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2024

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On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension

Ali,

Ashraf,

Ali

et al. 2024

Symmetry

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An algebraic graph is defined in terms of graph theory as a graph with related algebraic structures or characteristics. If the vertex set of a graph G is a group, a ring, or a field, then G is called an algebraic structure graph. This work uses an algebraic structure graph based on the modular ring Zn, known as a hyper-chordal ring network. The lower and upper bounds of the local fractional metric dimension are computed for certain families of hyper-chordal ring networks. Utilizing the cardinalities of local fractional resolving sets, local fractional resolving (LFR)M-polynomials are computed for hyper-chordal ring networks. Further, new topological indices based on (LFR)M-polynomials are established for the proposed networks. The local fraction entropies are developed by modifying the first three kinds of Zagreb entropies, which are calculated for the chosen hyper-chordal ring networks. Furthermore, numerical and graphical comparisons are discussed to observe the order between newly computed topological indices.

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On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension

Ali,

Ashraf,

Ali

et al. 2024

Symmetry

View full text Add to dashboard Cite

show abstract

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On topological indices and entropy dynamics over zero divisors graphs under Cartesian product of commutative rings

Cited by 1 publication

References 38 publications

On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension

On Local Fractional Topological Indices and Entropies for Hyper-Chordal Ring Networks Using Local Fractional Metric Dimension

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