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GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 1 (2025) · hlm. 0031–0040

DOI
10.30598/barekengvol20iss1pp0031-0040
ISSN
2615-3017, 1978-7227
Terbit
2025-11-24
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

This paper investigates the Degree Square Sum Energy, Degree Exponent Energy, and Degree Exponent Sum Energy of the coprime graph on generalized quaternion group ​. This research is quantitative study using previous study as the literature review to construct the new theorem. These energy methods provide new insights into the spectral properties of graphs by their vertex degree distributions into eigenvalue computations. Using spectral graph theory, the general formulas for the,, and of ​ are formulated for for every positive integer. Furthermore, we explore the implications of these methods in understanding the algebraic and spectral characteristics of ​. Numerical results are presented for specific cases to validate the previous theorem. This study contributes to the broader analysis of graph energies, offering a framework for studying other algebraic structures.

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40 penulis · 87 tautan kepenulisan bersama · 36 lintas organisasi

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  • University of Mataram
  • Syarif Hidayatullah State Islamic University Jakarta
  • Universiti Teknologi MARA
  • University of Technology Malaysia
  • Universitas Pendidikan Ganesha
  • Bandung Institute of Technology
  • University of Barishal
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Rekan penulisOrganisasiArtikel bersama
Qurratul AiniUniversity of Mataram2
Muhammad Naoval HusniUniversity of Mataram2
Ayes Malona SiboroUniversity of Mataram2
Fariz MaulanaUniversity of Mataram2
Hanna SyafitriUniversity of Mataram1
Abdul Gazir SyarifudinBandung Institute of Technology1
Zatta Yumni AwanisAfiliasi tidak diketahui1
Dewi Santri RamdaniUniversity of Mataram1
Lalu Riski Wirendra PutraUniversity of Mataram1
Zata Yumni AwanisUniversity of Mataram1
Salwa SalwaUniversity of Mataram1
Muhammad AfdhaluzzikriUniversity of Mataram1
Fariz MaulanaUniversity of Mataram1
Hena Rani BiswasUniversity of Barishal1
Sahin Two LestariUniversity of Mataram1
Jimboy Ruben AlbaracinUniversity of the Philippines Cebu1
Gusti Yogananda KarangUniversity of Mataram1
Manimaran AngamuthuVellore Institute of Technology University1
Gustina ElfiyantiSyarif Hidayatullah State Islamic University Jakarta1
Mutia Nofita SariSyarif Hidayatullah State Islamic University Jakarta1
Ade CandraSyarif Hidayatullah State Islamic University Jakarta1
Ghazali Semil IsmailUniversiti Teknologi MARA1
Sarwa HitaUniversity of Mataram1
Nguyen Dang Hoa NghiemTrường Đại học Kỹ thuật - Công nghệ Cần Thơ1
Ni Komang Tri DharmayaniUniversity of Mataram1
Putu Kartika DewiUniversitas Pendidikan Ganesha1
I Nengah SupartaUniversitas Pendidikan Ganesha1
Baiq Rika Ayu FebriliaUniversity of Mataram1
M FauzulUniversity of Mataram1
Putri Kurnia ChairunnisaUniversity of Mataram1
Satriawan PradanaUniversity of Mataram1
Rio SatriyantaraUniversity of Mataram1
Na’imah HijriatiLambung Mangkurat University1
Sefti Fajriatul MusyarrofahUniversity of Mataram1
Dimas IndrawadiUniversity of Mataram1
Hazzirah Izzati Mat HassimUniversity of Technology Malaysia1

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Sumber metadata: OAI-PMH (metadata jurnal) https://ojs3.unpatti.ac.id/index.php/barekeng/oai, pertama di-harvest 5 Nov 2026, terakhir terlihat 8 Nov 2026.
Metadata asli (oai_dc)
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	<dc:title xml:lang="en-US">GRAPH ENERGY OF THE COPRIME GRAPH ON GENERALIZED QUATERNION GROUP</dc:title>
	<dc:creator>Miftahurrahman, Miftahurrahman</dc:creator>
	<dc:creator>Wisnu Wardhana, I Gede Adhitya</dc:creator>
	<dc:creator>Alimon, Nur Idayu</dc:creator>
	<dc:creator>Sarmin, Nor Haniza</dc:creator>
	<dc:description xml:lang="en-US">This paper investigates the Degree Square Sum Energy , Degree Exponent Energy , and Degree Exponent Sum Energy &amp;nbsp;of the coprime graph on generalized quaternion group ​. This research is quantitative study using previous study as the literature review to construct the new theorem. These energy methods provide new insights into the spectral properties of graphs by their vertex degree distributions into eigenvalue computations. Using spectral graph theory, the general formulas for the , , and &amp;nbsp;of&amp;nbsp; ​ are formulated for &amp;nbsp;for every positive integer . Furthermore, we explore the implications of these methods in understanding the algebraic and spectral characteristics of&amp;nbsp; ​. Numerical results are presented for specific cases to validate the previous theorem. This study contributes to the broader analysis of graph energies, offering a framework for studying other algebraic structures.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-11-24</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17448</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss1pp0031-0040</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 1 (2026): BAREKENG: Journal of Mathematics and Its Application; 0031-0040</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss1year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/17448/11650</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Miftahurrahman Miftahurrahman, I Gede Adhitya Wisnu Wardhana, Nur Idayu Alimon, Nor Haniza Sarmin</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>