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Open access Jurnal SINTA 3

LOCAL IRREGULARITY VERTEX COLORING OF BICYCLIC GRAPH FAMILIES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 19 No. 2 (2025) · pp. 1093–1108

DOI
10.30598/barekengvol19iss2pp1093-1108
ISSN
2615-3017, 1978-7227
Published
2025-04-01
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

The graph in this research is a simple and connected graph with as vertex set and as an edge set. We used deductive axiomatic and pattern recognition method. Local irregularity vertex coloring is defined as mapping as vertex irregular -labeling and where. The conditions for to be a local irregularity vertex coloring, if with as irregularity vertex labeling and for every. The minimum number of colors produced from local irregularity vertex coloring of graph is called chromatic number local irregularity, denoted by. In this research, we analyze about the local irregularity vertex coloring and determine the chromatic number of local irregularity of bicyclic graphs.

Collaboration network of the authors

40 authors · 133 co-authorship links · 6 across different organisations · showing the 40 most connected

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Universitas Halu Oleo
  • Universitas Jember
  • Institut Agama Islam Negeri Kendari
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Arif FatahillahAffiliation unknown5
Andi NurmasUniversitas Halu Oleo3
Muhammad Arief DirgantoroUniversitas Halu Oleo3
Ika Hesti AgustinUniversitas Jember3
Rafiantika Megahnia PrihandiniAffiliation unknown3
Susi SetiawaniAffiliation unknown3
La Ode SafuanUniversitas Halu Oleo2
Waode Siti Anima HiseinUniversitas Halu Oleo2
AGUNG YUSWANAUniversitas Halu Oleo2
TERRY PAKKIUniversitas Halu Oleo2
Namriah NamriahUniversitas Halu Oleo2
Muslihatul AimaAffiliation unknown2
Antonius Cahya PrihandokoUniversitas Jember1
IMRAN SUBAIRUniversitas Halu Oleo1
SULWAN SULWANAffiliation unknown1
TRESJIA CORINA RAKIANAffiliation unknown1
Idrus SalamUniversitas Halu Oleo1
Agustono SlametUniversitas Halu Oleo1
MUSLIMAH MUSLIMAHAffiliation unknown1
FATKUR RAHMANUniversitas Halu Oleo1
I GUSTI RAY SADIMANTARAUniversitas Halu Oleo1
Sitti NurhalimahInstitut Agama Islam Negeri Kendari1
Tresjia Corina RakianUniversitas Halu Oleo1
Sitti LeomoUniversitas Halu Oleo1
Laode Muh. Harjoni KWAffiliation unknown1
Musadia AfaAffiliation unknown1
Nini Mila RahniUniversitas Halu Oleo1
LA KARIMUNAUniversitas Halu Oleo1
REZKI MUSAHIDINAffiliation unknown1
Deddy SetyawanAffiliation unknown1
Anis Nur AfniAffiliation unknown1
Ermita Rizki AlbirriAffiliation unknown1
R AdawiyahAffiliation unknown1
I I MakhfudlohAffiliation unknown1

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">LOCAL IRREGULARITY VERTEX COLORING OF BICYCLIC GRAPH FAMILIES</dc:title>
	<dc:creator>Kristiana, Arika Indah</dc:creator>
	<dc:creator>Santoso, Aji Mansur</dc:creator>
	<dc:creator>Hussen, Saddam</dc:creator>
	<dc:creator>Wihardjo, Edy</dc:creator>
	<dc:creator>Adawiyah, Robiatul</dc:creator>
	<dc:creator>Dafik, Dafik</dc:creator>
	<dc:description xml:lang="en-US">The graph in this research is a simple and connected graph with  &amp;nbsp;as vertex set and  &amp;nbsp;as an edge set. We used deductive axiomatic and pattern recognition method. Local irregularity vertex coloring is defined as mapping  &amp;nbsp;as vertex irregular  -labeling and  &amp;nbsp;where  . The conditions for  &amp;nbsp;to be a local irregularity vertex coloring, if  &amp;nbsp;with  &amp;nbsp;as irregularity vertex labeling and for every  . The minimum number of colors produced from local irregularity vertex coloring of graph  &amp;nbsp;is called chromatic number local irregularity, denoted by  . In this research, we analyze about the local irregularity vertex coloring and determine the chromatic number of local irregularity of bicyclic graphs.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2025-04-01</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/15321</dc:identifier>
	<dc:identifier>10.30598/barekengvol19iss2pp1093-1108</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 19 No 2 (2025): BAREKENG: Journal of Mathematics and Its Application; 1093-1108</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol19iss2year2025</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/15321/9957</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2025 Arika Indah Kristiana, Aji Mansur Santoso, Saddam Hussen, Edy Wihardjo, Robiatul Adawiyah, Dafik Dafik</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>