Computing The First Zagreb Index, The Wiener Index and The Gutman Index of The Power of Dihedral Group Using Python

syechah, bulqis nebulla; Prasetyo, Mutiara Aeqi Permata; Sintiari, Ni Luh Dewi; Wardhana, Gede Adhitya Wisnu

doi:10.20956/j.v22i1.44688

Open access Jurnal

Computing The First Zagreb Index, The Wiener Index and The Gutman Index of The Power of Dihedral Group Using Python

Jurnal Matematika, Statistika dan Komputasi · Vol. 22 No. 1 (2025) · pp. 102–113

DOI: 10.20956/j.v22i1.44688
ISSN: 2614-8811, 1858-1382
Published: 2025-09-08
Publisher: Department of Mathematics, Hasanuddin University
Language: en
License: creativecommons.org/licenses/by/4.0

Abstract

This paper presents a computational study on three classical topological indices—the First Zagreb Index, Wiener Index, and Gutman Index—within the context of power graphs of the dihedral group, where is a positive integer representing half the order of the group. These indices are fundamental in mathematical chemistry and graph theory, serving as quantitative descriptors of graph structure and connectivity. The methodology involves constructing power graphs derived from and calculating the indices using Python programming, supported by the NetworkX, Matplotlib, and Gradio libraries. Numerical simulations were conducted for varying values of, revealing consistent algebraic patterns and insights into the structural complexity of the corresponding graphs. Additionally, an interactive Python-based interface is developed to facilitate real-time computation and visualization, thus promoting further exploration and application in algebraic graph theory

Keywords

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13 authors · 27 co-authorship links

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Politeknik Negeri Ujung Pandang
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Co-author	Organisation	Joint articles
Lailia Awalushaumi	Affiliation unknown	2
Marwan Marwan	Politeknik Negeri Ujung Pandang	1
Annisa Zaen Febryantika	Affiliation unknown	1
Syamsul Bahri	Affiliation unknown	1
Satriawan Pradana	Affiliation unknown	1
Setiawati Setiawati	Affiliation unknown	1
Razma Rizqiyah Awwaliyah	Affiliation unknown	1
Dewi Astuti	Affiliation unknown	1
Tri Maryono Rusadi	Affiliation unknown	1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

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	<dc:title xml:lang="en">Computing The First Zagreb Index, The Wiener Index and The Gutman Index of The Power of Dihedral Group Using Python</dc:title>
	<dc:creator xml:lang="en">syechah, bulqis nebulla</dc:creator>
	<dc:creator xml:lang="en">Prasetyo, Mutiara Aeqi Permata</dc:creator>
	<dc:creator xml:lang="en">Sintiari, Ni Luh Dewi</dc:creator>
	<dc:creator xml:lang="en">Wardhana, Gede Adhitya Wisnu</dc:creator>
	<dc:subject xml:lang="en">Gutman Index</dc:subject>
	<dc:subject xml:lang="en">Python</dc:subject>
	<dc:subject xml:lang="en">Zagreb Index</dc:subject>
	<dc:subject xml:lang="en">Wiener Index</dc:subject>
	<dc:description xml:lang="en">This paper presents a computational study on three classical topological indices—the First Zagreb Index, Wiener Index, and Gutman Index—within the context of power graphs of the dihedral group , where is a positive integer representing half the order of the group. These indices are fundamental in mathematical chemistry and graph theory, serving as quantitative descriptors of graph structure and connectivity. The methodology involves constructing power graphs derived from  and calculating the indices using Python programming, supported by the NetworkX, Matplotlib, and Gradio libraries. Numerical simulations were conducted for varying values of , revealing consistent algebraic patterns and insights into the structural complexity of the corresponding graphs. Additionally, an interactive Python-based interface is developed to facilitate real-time computation and visualization, thus promoting further exploration and application in algebraic graph theory
 
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	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2025-09-08</dc:date>
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	<dc:identifier>10.20956/j.v22i1.44688</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 22 No. 1 (2025): SEPTEMBER 2025; 102-113</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/44688/13333</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2025 Jurnal Matematika, Statistika dan Komputasi</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
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