Entropies and Degree-Based Topological Indices of Coronene Fractal Structures
Molecular fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon entropy) and is used to describe the...
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MDPI AG
2025-02-01
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| Series: | Fractal and Fractional |
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| Online Access: | https://www.mdpi.com/2504-3110/9/3/133 |
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| author | Si-Ao Xu Jia-Bao Liu |
| author_facet | Si-Ao Xu Jia-Bao Liu |
| author_sort | Si-Ao Xu |
| collection | DOAJ |
| description | Molecular fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon entropy) and is used to describe the topological structural complexity or degree of disorder in networks. A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In this study, we focus on fractal structures formed by systematically repeating a fixed unit of coronene, a polycyclic aromatic hydrocarbon composed of six benzene rings fused in a hexagonal pattern. In this paper, three types of coronal fractal structures, namely zigzag (ZHCF), armchair (AHCF), and rectangular (RCF), are studied, and their five degree-based topological indices and corresponding entropies are calculated. |
| format | Article |
| id | doaj-art-23ef20b7dab040a69a1cdfa12e488454 |
| institution | Kabale University |
| issn | 2504-3110 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Fractal and Fractional |
| spelling | doaj-art-23ef20b7dab040a69a1cdfa12e4884542025-08-20T03:43:27ZengMDPI AGFractal and Fractional2504-31102025-02-019313310.3390/fractalfract9030133Entropies and Degree-Based Topological Indices of Coronene Fractal StructuresSi-Ao Xu0Jia-Bao Liu1College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, ChinaSchool of Mathematics and Physics, Anhui Jianzhu University, Hefei 230601, ChinaMolecular fractals are geometric patterns that appear self-similar across all length scales and are constructed by repeating a single unit on a regular basis. Entropy, as a core thermodynamic function, is an extension based on information theory (such as Shannon entropy) and is used to describe the topological structural complexity or degree of disorder in networks. A topological index is a numeric quantity associated with a network or a graph that characterizes its whole structural properties. In this study, we focus on fractal structures formed by systematically repeating a fixed unit of coronene, a polycyclic aromatic hydrocarbon composed of six benzene rings fused in a hexagonal pattern. In this paper, three types of coronal fractal structures, namely zigzag (ZHCF), armchair (AHCF), and rectangular (RCF), are studied, and their five degree-based topological indices and corresponding entropies are calculated.https://www.mdpi.com/2504-3110/9/3/133coronene fractalsgraph entropiestopological indicesarmchair hexagonal coronene fractalsrectangular hexagonal coronene fractalszigzag hexagonal coronene fractals |
| spellingShingle | Si-Ao Xu Jia-Bao Liu Entropies and Degree-Based Topological Indices of Coronene Fractal Structures Fractal and Fractional coronene fractals graph entropies topological indices armchair hexagonal coronene fractals rectangular hexagonal coronene fractals zigzag hexagonal coronene fractals |
| title | Entropies and Degree-Based Topological Indices of Coronene Fractal Structures |
| title_full | Entropies and Degree-Based Topological Indices of Coronene Fractal Structures |
| title_fullStr | Entropies and Degree-Based Topological Indices of Coronene Fractal Structures |
| title_full_unstemmed | Entropies and Degree-Based Topological Indices of Coronene Fractal Structures |
| title_short | Entropies and Degree-Based Topological Indices of Coronene Fractal Structures |
| title_sort | entropies and degree based topological indices of coronene fractal structures |
| topic | coronene fractals graph entropies topological indices armchair hexagonal coronene fractals rectangular hexagonal coronene fractals zigzag hexagonal coronene fractals |
| url | https://www.mdpi.com/2504-3110/9/3/133 |
| work_keys_str_mv | AT siaoxu entropiesanddegreebasedtopologicalindicesofcoronenefractalstructures AT jiabaoliu entropiesanddegreebasedtopologicalindicesofcoronenefractalstructures |