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PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 15 No. 4 (2021) · pp. 651–658

DOI
10.30598/barekengvol15iss4pp651-658
ISSN
2615-3017, 1978-7227
Published
2021-12-01
Publisher
PATTIMURA UNIVERSITY
Language
eng

Abstract

The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex then the edge so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight w(v) is the color of v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2.

Collaboration network of the authors

17 authors · 51 co-authorship links · 1 across different organisations

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

  • Universitas Halu Oleo
  • Universitas Jember
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
ROBIATUL ADAWIYAHUniversitas Halu Oleo4
Susi SetiawaniAffiliation unknown3
Edy WihardjoAffiliation unknown2
Muslihatul AimaAffiliation unknown1
Girlyas Rasta YuntaAffiliation unknown1
Arif FatahillahAffiliation unknown1
Alfiani Dyah PratiwiAffiliation unknown1
Nira Nityasa SarantaAffiliation unknown1
Antonius CahyaPrihandokoAffiliation unknown1
Dafik DafikUniversitas Jember1
Aji Mansur SantosoAffiliation unknown1
Saddam HussenAffiliation 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">PEWARNAAN TITIK TOTAL SUPER ANTI-AJAIB LOKAL PADA GRAF PETERSEN DIPERUMUM P(n,k) DENGAN k=1,2</dc:title>
	<dc:creator>Setyawan, Deddy</dc:creator>
	<dc:creator>Afni, Anis Nur</dc:creator>
	<dc:creator>Prihandini, Rafiantika Megahnia</dc:creator>
	<dc:creator>Albirri, Ermita Rizki</dc:creator>
	<dc:creator>Kristiana, Arika Indah</dc:creator>
	<dc:description xml:lang="en-US">The local antimagic total vertex labeling of graph G is a labeling that every vertices and edges label by natural number from 1 to  &amp;nbsp;such that every two adjacent vertices has different weights, where is The sum of a vertex label and the labels of all edges that incident to the vertex. If the labeling start the smallest label from the vertex&amp;nbsp; then the edge&amp;nbsp; so that kind of coloring is called the local super antimagic total vertex labeling. That local super antimagic total vertex labeling induces vertex coloring of graph G where for vertex v, the weight&amp;nbsp; w(v) is the color of&amp;nbsp; v. The minimum number of colors that obtained by coloring that induces by local super antimagic total vertex labeling of G called the chromatic number of local super antimagic total vertex coloring of G, denoted by χlsat(G). In this paper, we consider the chromatic number of local super antimagic total vertex coloring of Generalized Petersen Graph P(n,k) for k=1, 2.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2021-12-01</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/3830</dc:identifier>
	<dc:identifier>10.30598/barekengvol15iss4pp651-658</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 15 No 4 (2021): BAREKENG: Jurnal Ilmu Matematika dan Terapan; 651-658</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol15iss4year2021</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/3830/3571</dc:relation>
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