Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs
In this article, we compute the irregularity measures of generalized Sierpiński graphs and obtain some bounds on these irregularities. Moreover, we discuss some bounds on connectivity indices for generalized Sierpiński graphs of any arbitrary graph <i>H</i> along with classification of t...
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| Format: | Article |
| Language: | English |
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MDPI AG
2024-02-01
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| Series: | Fractal and Fractional |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2504-3110/8/2/123 |
| _version_ | 1827343545712771072 |
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| author | Alaa Altassan Muhammad Imran |
| author_facet | Alaa Altassan Muhammad Imran |
| author_sort | Alaa Altassan |
| collection | DOAJ |
| description | In this article, we compute the irregularity measures of generalized Sierpiński graphs and obtain some bounds on these irregularities. Moreover, we discuss some bounds on connectivity indices for generalized Sierpiński graphs of any arbitrary graph <i>H</i> along with classification of the extremal graphs used to attain them. |
| first_indexed | 2024-03-07T22:31:48Z |
| format | Article |
| id | doaj.art-98b0167bcecc4cb59a3319fa0b076483 |
| institution | Directory Open Access Journal |
| issn | 2504-3110 |
| language | English |
| last_indexed | 2024-03-07T22:31:48Z |
| publishDate | 2024-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj.art-98b0167bcecc4cb59a3319fa0b0764832024-02-23T15:17:16ZengMDPI AGFractal and Fractional2504-31102024-02-018212310.3390/fractalfract8020123Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński GraphsAlaa Altassan0Muhammad Imran1Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematical Sciences, College of Science, United Arab Emirates University, Al Ain 15551, United Arab EmiratesIn this article, we compute the irregularity measures of generalized Sierpiński graphs and obtain some bounds on these irregularities. Moreover, we discuss some bounds on connectivity indices for generalized Sierpiński graphs of any arbitrary graph <i>H</i> along with classification of the extremal graphs used to attain them.https://www.mdpi.com/2504-3110/8/2/123generalized Sierpiński graphsirregularity measureconnectivity indices |
| spellingShingle | Alaa Altassan Muhammad Imran Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs Fractal and Fractional generalized Sierpiński graphs irregularity measure connectivity indices |
| title | Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs |
| title_full | Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs |
| title_fullStr | Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs |
| title_full_unstemmed | Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs |
| title_short | Topological Properties of Polymeric Networks Modelled by Generalized Sierpiński Graphs |
| title_sort | topological properties of polymeric networks modelled by generalized sierpinski graphs |
| topic | generalized Sierpiński graphs irregularity measure connectivity indices |
| url | https://www.mdpi.com/2504-3110/8/2/123 |
| work_keys_str_mv | AT alaaaltassan topologicalpropertiesofpolymericnetworksmodelledbygeneralizedsierpinskigraphs AT muhammadimran topologicalpropertiesofpolymericnetworksmodelledbygeneralizedsierpinskigraphs |