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Results on Domination and Chromatic Numbers of Rhombus Silicate Molecular Structure
Research Article | Published: 15 September 2025
ICCK Journal of Applied Mathematics Volume 1, Issue 2, 2025: 86-96
Volume 1, Issue 2, ICCK Journal of Applied Mathematics
Volume 1, Issue 2, 2025
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ICCK Journal of Applied Mathematics, Volume 1, Issue 2, 2025: 86-96

Open Access | Research Article | 15 September 2025
Results on Domination and Chromatic Numbers of Rhombus Silicate Molecular Structure
by
Hira Roman Hira Roman 1
Amir Sohail Amir Sohail 1
Aneela Rafiq Aneela Rafiq 1
Haidar Ali Haidar Ali 2 *
1 Department of Mathematics, Riphah International University, Faisalabad, Pakistan
2 University Community College, Government College University, Faisalabad, Pakistan
* Corresponding Author: Haidar Ali, [email protected]
DOI: 10.62762/JAM.2025.445811
Received: 13 July 2025, Accepted: 27 July 2025, Published: 15 September 2025  
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Abstract
In this article, we specially focused on rhombus silicate molecular structure. Graph is a data structure for describing complex systems, which contains a set of objects and relationships. A molecular graph, also known as a chemical graph, is a graph-theoretic representation of the structural formula of a chemical compound used in chemical graph theory and mathematical chemistry. A chemical graph is a labelled graph whose edges represent covalent bonds and vertices represent the atoms. A set of vertices (atoms) of a graph G is known as its dominating set with respect to the vertices, if every vertex other than that set is adjacent to some vertex in set. The vertex and edge dominating sets, total domination and chromatic number of rhombus silicate structure has been discussed in this article.
Graphical Abstract
Results on Domination and Chromatic Numbers of Rhombus Silicate Molecular Structure
Keywords
domination set $\Upsilon$(G)
domination number with respect to vertices
total domination $\Upsilon_{t}$(G)
edge domination number $\Upsilon^{'}$(G)
chromatic number
rhombus network
Data Availability Statement
Data will be made available on request.
Funding
This work was supported without any funding.
Conflicts of Interest
The authors declare no conflicts of interest.
Ethical Approval and Consent to Participate
Not applicable.
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Cite This Article
APA Style
Roman, H., Sohail, A., Rafiq, A., & Ali, H. (2025). Results on Domination and Chromatic Numbers of Rhombus Silicate Molecular Structure. ICCK Journal of Applied Mathematics, 1(2), 86–96. https://doi.org/10.62762/JAM.2025.445811
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