Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs
Let R=Z♭1♭2♭3×Zq2 be a commutative ring, where ♭1,♭2,♭3 are distinct primes, and q is any prime integer. A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only if ab=0. A topological index is a numerical n...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/6911654 |
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| author | Zhi-hao Hui Abdul Rauf Muhammad Mohsin Abbas Adnan Aslam |
| author_facet | Zhi-hao Hui Abdul Rauf Muhammad Mohsin Abbas Adnan Aslam |
| author_sort | Zhi-hao Hui |
| collection | DOAJ |
| description | Let R=Z♭1♭2♭3×Zq2 be a commutative ring, where ♭1,♭2,♭3 are distinct primes, and q is any prime integer. A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only if ab=0. A topological index is a numerical number associated with the graph and may be helpful to correlate the graph with certain of its physical/chemical properties. In this paper, we have computed some eccentricity based topological indices of JR, namely, atom-bond connectivity index (ABC5), eccentricity-based harmonic index of fourth type (H4J), geometric-arithmetic eccentricity index (GA4J), eccentricity-based third Zagreb index, and eccentricity-based first Zagreb index. |
| format | Article |
| id | doaj-art-e79b8f2ea8af4f65bc9edc9b1ee11364 |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-e79b8f2ea8af4f65bc9edc9b1ee113642025-02-03T05:53:38ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/6911654Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor GraphsZhi-hao Hui0Abdul Rauf1Muhammad Mohsin Abbas2Adnan Aslam3School of Mathematics and StatisticsAir University Multan CampusAir University Multan CampusUniversity of Engineering and TechnologyLet R=Z♭1♭2♭3×Zq2 be a commutative ring, where ♭1,♭2,♭3 are distinct primes, and q is any prime integer. A zero divisor graph JR of ring R is a graph with vertex set consist of zero divisors elements of R and any two vertices a,b are adjacent if and only if ab=0. A topological index is a numerical number associated with the graph and may be helpful to correlate the graph with certain of its physical/chemical properties. In this paper, we have computed some eccentricity based topological indices of JR, namely, atom-bond connectivity index (ABC5), eccentricity-based harmonic index of fourth type (H4J), geometric-arithmetic eccentricity index (GA4J), eccentricity-based third Zagreb index, and eccentricity-based first Zagreb index.http://dx.doi.org/10.1155/2022/6911654 |
| spellingShingle | Zhi-hao Hui Abdul Rauf Muhammad Mohsin Abbas Adnan Aslam Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs Journal of Function Spaces |
| title | Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs |
| title_full | Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs |
| title_fullStr | Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs |
| title_full_unstemmed | Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs |
| title_short | Analysis of Eccentricity-Based Topological Invariants with Zero-Divisor Graphs |
| title_sort | analysis of eccentricity based topological invariants with zero divisor graphs |
| url | http://dx.doi.org/10.1155/2022/6911654 |
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