TRACE OF THE ADJACENCY MATRIX n×n OF THE CYCLE GRAPH TO THE POWER OF TWO TO FIVE

Aryani, Fitri; Puspita, Dian Ayu; Marzuki, Corry Corazon; Muda, Yuslenita

doi:10.30598/barekengvol16iss2pp393-408

Jurnal SINTA 3

TRACE OF THE ADJACENCY MATRIX n×n OF THE CYCLE GRAPH TO THE POWER OF TWO TO FIVE

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 16 No. 2 (2022) · pp. 393–408

DOI: 10.30598/barekengvol16iss2pp393-408
ISSN: 2615-3017, 1978-7227
Published: 2022-06-01
Publisher: PATTIMURA UNIVERSITY
Language: eng

Abstract

The main aim of this research is to find the formula of the trace of adjacency matrix from a cycle graph to the power of two to five. To obtain the general form, the first step is finding the general formula of the adjacency matrix from a cycle graph to the power of two to five. Furthermore, the formula of the trace of adjacency matrix which is mentioned above obtained and proven by direct proof. We also present an implementation of the formula which is given by an example.

Collaboration network of the authors

10 authors · 19 co-authorship links

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State University of Malang
Affiliation unknown

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Co-author	Organisation	Joint articles
Wartono Wartono	State University of Malang	2
Aminah Utami	Affiliation unknown	2
Mona Elviyenti	Affiliation unknown	2
Mohammad Soleh	Affiliation unknown	1
Muhafzan Muhafzan	Affiliation unknown	1
Neng Santi	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://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 5 Nov 2026.

Original metadata (oai_dc)

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	<dc:title xml:lang="en-US">TRACE OF THE ADJACENCY MATRIX n×n  OF THE CYCLE GRAPH TO THE POWER OF TWO TO FIVE</dc:title>
	<dc:creator>Aryani, Fitri</dc:creator>
	<dc:creator>Puspita, Dian Ayu</dc:creator>
	<dc:creator>Marzuki, Corry Corazon</dc:creator>
	<dc:creator>Muda, Yuslenita</dc:creator>
	<dc:description xml:lang="en-US">The main aim of this research is to find the formula of the trace of adjacency matrix  &amp;nbsp;from a cycle graph to the power of two to five. To obtain the general form, the first step is finding the general formula of the adjacency matrix from a cycle graph to the power of two to five. Furthermore, the formula of the trace of adjacency matrix which is mentioned above obtained and proven by direct proof. We also present an implementation of the formula which is given by an example. </dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2022-06-01</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
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	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/4508</dc:identifier>
	<dc:identifier>10.30598/barekengvol16iss2pp393-408</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 16 No 2 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 393-408</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol16iss2year2022</dc:source>
	<dc:language>eng</dc:language>
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