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AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING OF BOOK GRAPH FAMILY

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 17 No. 2 (2023) · hlm. 0601–0608

DOI
10.30598/barekengvol17iss2pp0601-0608
ISSN
2615-3017, 1978-7227
Terbit
2023-06-11
Penerbit
PATTIMURA UNIVERSITY
Bahasa
eng
Lisensi
creativecommons.org/licenses/by-sa/4.0

Abstrak

Let is a simple and connected graph with as vertex set and as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping and the function of the inclusive local irregularity vertex coloring is with. In other words, an inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G, denoted by. In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on the book graphs.

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33 penulis · 102 tautan kepenulisan bersama · 12 lintas organisasi

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  • Universitas Jember
  • Universitas Pendidikan Ganesha
  • Universitas PGRI Argopuro Jember
  • Sunan Kalijaga State Islamic University Yogyakarta
  • Universitas Nurul Jadid
  • Universitas Indraprasta PGRI
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Rekan penulisOrganisasiArtikel bersama
Dafik DafikUniversitas Jember5
Rafiantika Megahnia PrihandiniUniversitas Jember3
Arif FatahillahUniversitas Jember3
Edy WihardjoUniversitas Jember3
Saddam HussenUniversitas Jember3
Susi SetiawaniUniversitas Jember2
Alfiani Dyah PratiwiUniversitas Jember2
Aji Mansur SantosoUniversitas Jember2
Deddy SetyawanUniversitas Jember1
Anis Nur AfniUniversitas Jember1
Ermita Rizki AlbirriUniversitas Jember1
S. IndrianiUniversitas Jember1
Anwar Ma'arifAfiliasi tidak diketahui1
M. G. HalimUniversitas Jember1
Ridho AlfarisiUniversitas Jember1
RM PrihandiniAfiliasi tidak diketahui1
AC PrihandokoAfiliasi tidak diketahui1
Indi Izzah MakhfudlohUniversitas Jember1
I Nengah SupartaUniversitas Pendidikan Ganesha1
Muhammad Ilham Nurfaizi AnnadhifiUniversitas Jember1
Ika Hesti AgustinUniversitas Jember1
Fitriyatul MardiyahUniversitas Jember1
Excelsa Suli Wildhatul JannahUniversitas Jember1
Marsidi MarsidiUniversitas PGRI Argopuro Jember1
Umi MubarokahUniversitas Jember1
Lioni Anka MonalisaUniversitas Jember1
Asih Widi WisudawatiSunan Kalijaga State Islamic University Yogyakarta1
Leny HartatiAfiliasi tidak diketahui1
ROBIATUL ADAWIYAHUniversitas Nurul Jadid1
Leny HartatiUniversitas Indraprasta PGRI1

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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">AN INCLUSIVE LOCAL IRREGULARITY VERTEX COLORING  OF BOOK GRAPH FAMILY</dc:title>
	<dc:creator>Adawiyah, Robiatul</dc:creator>
	<dc:creator>Aima, Muslihatul</dc:creator>
	<dc:creator>Kristiana, Arika Indah</dc:creator>
	<dc:description xml:lang="en-US">Let &amp;nbsp;is a simple and connected graph with &amp;nbsp;&amp;nbsp;&amp;nbsp;as vertex set and &amp;nbsp;as edge set. Vertex labeling on inclusive local irregularity vertex coloring is defined by mapping  and the function of the inclusive local irregularity vertex coloring is  with  . In other words, an inclusive local irregularity vertex coloring is defined by coloring the graph so that its weight value is obtained by adding up the labels of the neighboring vertex and its label. The inclusive local irregularity chromatic number is defined as the minimum number of colors obtained from coloring the vertex of the inclusive local irregularity in graph G, denoted by  . In this paper, we learn about the inclusive local irregularity vertex coloring and determine the chromatic number on the book graphs.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2023-06-11</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/6514</dc:identifier>
	<dc:identifier>10.30598/barekengvol17iss2pp0601-0608</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 17 No 2 (2023): BAREKENG: Journal of Mathematics and Its Applications; 0601-0608</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol17iss2year2023</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/6514/5920</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2023 Robiatul Adawiyah, Muslihatul Aima, Arika Indah Kristiana</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>