SOME ZAGREB-TYPE INDICES OF VICSEK POLYGON GRAPHS

Zhiqiang Wu (), Yumei Xue (), Huixia He (), Cheng Zeng and Wenjie Wang ()
Additional contact information
Zhiqiang Wu: School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China
Yumei Xue: School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China
Huixia He: School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China
Cheng Zeng: ��School of Mathematics and Information Science, Shandong Technology and Business University, Yantai, Shandong Province, 264003, P. R. China
Wenjie Wang: School of Mathematical Sciences, Beihang University, Beijing, 100083, P. R. China

FRACTALS (fractals), 2024, vol. 32, issue 03, 1-10

Abstract: Chemical graph theory plays an essential role in modeling and designing any chemical structure or chemical network. For a (molecular) graph, the Zagreb indices and the Zagreb eccentricity indices are well-known topological indices to describe the structure of a molecule or graph and can be used to predict properties such as the size and number of rings in a molecule, as well as the thermodynamic stability and reactivity of compounds. In this paper, we introduce a class of molecular models, namely, the Vicsek polygon graphs, which extend the traditional Vicsek networks. We compute the Zagreb indices and the Zagreb eccentricity indices of Vicsek polygon graphs by self-similarity and the recurrence relation based on the construction of graphs.

Keywords: Zagreb Indices; Molecular Graph; Vicsek Polygon Graphs; Zagreb Eccentricity Indices; Self-Similar Measure (search for similar items in EconPapers)
Date: 2024
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24500658
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:32:y:2024:i:03:n:s0218348x24500658

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24500658

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().