Prime labeling of line and splitting graph of brush graph

Abstract A bijective function f from V ( G ) to {1,2,…, n } be a prime labeling of a graph G with n order if for every u, v ∈ V ( G ) such that e = uv ∈ E ( G ), f ( u ) and f ( v ) relatively prime. A prime graph is a graph which admits prime labeling. In this study, we investigate and conclude tha...

Full description

Saved in:
Bibliographic Details
Published inJournal of physics. Conference series Vol. 2106; no. 1; pp. 12030 - 12037
Main Authors Fran, F, Putra, D R, Pasaribu, M
Format Journal Article
LanguageEnglish
Published IOP Publishing 01.11.2021
Online AccessGet full text

Cover

Abstract Abstract A bijective function f from V ( G ) to {1,2,…, n } be a prime labeling of a graph G with n order if for every u, v ∈ V ( G ) such that e = uv ∈ E ( G ), f ( u ) and f ( v ) relatively prime. A prime graph is a graph which admits prime labeling. In this study, we investigate and conclude that the line and splitting graph of the brush graph is a prime graph.
AbstractList Abstract A bijective function f from V ( G ) to {1,2,…, n } be a prime labeling of a graph G with n order if for every u, v ∈ V ( G ) such that e = uv ∈ E ( G ), f ( u ) and f ( v ) relatively prime. A prime graph is a graph which admits prime labeling. In this study, we investigate and conclude that the line and splitting graph of the brush graph is a prime graph.
Author Pasaribu, M
Putra, D R
Fran, F
Author_xml – sequence: 1
  givenname: F
  surname: Fran
  fullname: Fran, F
  organization: Mathematics, Faculty of Mathematics and Natural Science , Indonesia
– sequence: 2
  givenname: D R
  surname: Putra
  fullname: Putra, D R
  organization: Mathematics, Faculty of Mathematics and Natural Science , Indonesia
– sequence: 3
  givenname: M
  surname: Pasaribu
  fullname: Pasaribu, M
  organization: Mathematics, Faculty of Mathematics and Natural Science , Indonesia
BookMark eNqNUMtKw0AUHaSCbfUbzFqIufNIZrKU4pOCBXU9zLNNiUmYaRf-vRkiBcGFd3Mf557LuWeBZl3fOYSuMdxiEKLAnJG8KuuqIBiqAheACVA4Q_MTMjvVQlygRYx7ADoGn6N6E5pPl7VKu7bptlnvszG7THU2i0PbHA5pug1q2CVMh2PcTe0lOveqje7qJy_Rx8P9--opX78-Pq_u1rkhrIJcO-CGCmUpdppqYw02FgSmNbfCMGEw8YJxa7nnAJ6xkldK8JqwUtO69HSJ-HTXhD7G4LwcRskqfEkMMjkg028y_SmTAxLLyYGRSSdm0w9y3x9DN-r8B-vmD9bLZvX2e1EO1tNvxbRryg
Cites_doi 10.9790/5728-1205045761
10.5937/KgJMath1803441P
10.22457/apam.v16n2a7
10.4236/ojdm.2014.43009
10.26708/IJMSC.2011.1.1.11
10.1063/5.0016815
ContentType Journal Article
Copyright Published under licence by IOP Publishing Ltd
Copyright_xml – notice: Published under licence by IOP Publishing Ltd
DBID O3W
TSCCA
AAYXX
CITATION
DOI 10.1088/1742-6596/2106/1/012030
DatabaseName Open Access: IOP Publishing Free Content
IOPscience (Open Access)
CrossRef
DatabaseTitle CrossRef
DatabaseTitleList CrossRef
Database_xml – sequence: 1
  dbid: O3W
  name: Open Access: IOP Publishing Free Content
  url: http://iopscience.iop.org/
  sourceTypes:
    Enrichment Source
    Publisher
DeliveryMethod fulltext_linktorsrc
Discipline Physics
EISSN 1742-6596
ExternalDocumentID 10_1088_1742_6596_2106_1_012030
JPCS_2106_1_012030
GroupedDBID 1JI
29L
2WC
4.4
5B3
5GY
5PX
5VS
7.Q
AAJIO
AAJKP
ABHWH
ACAFW
ACHIP
AEFHF
AEJGL
AFKRA
AFYNE
AIYBF
AKPSB
ALMA_UNASSIGNED_HOLDINGS
ARAPS
ASPBG
ATQHT
AVWKF
AZFZN
BENPR
BGLVJ
CCPQU
CEBXE
CJUJL
CRLBU
CS3
DU5
E3Z
EBS
EDWGO
EQZZN
F5P
FRP
GROUPED_DOAJ
GX1
HCIFZ
HH5
IJHAN
IOP
IZVLO
J9A
KNG
KQ8
LAP
N5L
N9A
O3W
OK1
P2P
PIMPY
PJBAE
RIN
RNS
RO9
SY9
T37
TR2
TSCCA
UCJ
W28
XSB
~02
AAYXX
CITATION
ID FETCH-LOGICAL-c2460-be07c38ad31eb3bcdc1cd081397d8c48c12f847dd7f700f44576a879245b395f3
IEDL.DBID O3W
ISSN 1742-6588
IngestDate Fri Aug 23 02:06:14 EDT 2024
Wed Aug 21 03:42:46 EDT 2024
Tue Nov 30 22:47:51 EST 2021
IsDoiOpenAccess true
IsOpenAccess true
IsPeerReviewed true
IsScholarly true
Issue 1
Language English
License Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c2460-be07c38ad31eb3bcdc1cd081397d8c48c12f847dd7f700f44576a879245b395f3
OpenAccessLink https://iopscience.iop.org/article/10.1088/1742-6596/2106/1/012030
PageCount 8
ParticipantIDs crossref_primary_10_1088_1742_6596_2106_1_012030
iop_journals_10_1088_1742_6596_2106_1_012030
PublicationCentury 2000
PublicationDate 20211101
PublicationDateYYYYMMDD 2021-11-01
PublicationDate_xml – month: 11
  year: 2021
  text: 20211101
  day: 01
PublicationDecade 2020
PublicationTitle Journal of physics. Conference series
PublicationTitleAlternate J. Phys.: Conf. Ser
PublicationYear 2021
Publisher IOP Publishing
Publisher_xml – name: IOP Publishing
References Prajapati (JPCS_2106_1_012030bib1) 2014; 4
Samuel (JPCS_2106_1_012030bib10) 2018; 55
Esakkiammal (JPCS_2106_1_012030bib12) 2018
Ashokkumar (JPCS_2106_1_012030bib2) 2015; 11
Patel (JPCS_2106_1_012030bib9) 2014; 30
Samuel (JPCS_2106_1_012030bib4) 2016; 12
Roza (JPCS_2106_1_012030bib13) 2014; 3
Samuel (JPCS_2106_1_012030bib5) 2016; 8
Haarsa (JPCS_2106_1_012030bib15) 2014; 94
Munir (JPCS_2106_1_012030bib16) 2010
Kansagara (JPCS_2106_1_012030bib8) 2021
Raj (JPCS_2106_1_012030bib14) 2011; 1
Patel (JPCS_2106_1_012030bib7) 2018; 42
Samuel (JPCS_2106_1_012030bib6) 2018; 16
Balamurugan (JPCS_2106_1_012030bib3) 2016; 1
Rahmawati (JPCS_2106_1_012030bib11) 2020; 2268
References_xml – volume: 11
  start-page: 01
  year: 2015
  ident: JPCS_2106_1_012030bib2
  publication-title: IOSR-J. Math
  contributor:
    fullname: Ashokkumar
– volume: 12
  start-page: 57
  year: 2016
  ident: JPCS_2106_1_012030bib4
  publication-title: IOSR J. Math.
  doi: 10.9790/5728-1205045761
  contributor:
    fullname: Samuel
– year: 2010
  ident: JPCS_2106_1_012030bib16
  contributor:
    fullname: Munir
– volume: 42
  start-page: 441
  year: 2018
  ident: JPCS_2106_1_012030bib7
  publication-title: Kragujev. J. Math.
  doi: 10.5937/KgJMath1803441P
  contributor:
    fullname: Patel
– year: 2021
  ident: JPCS_2106_1_012030bib8
  publication-title: Prime labeling in the context of subdivision of some cycle related graphs
  contributor:
    fullname: Kansagara
– volume: 16
  start-page: 307
  year: 2018
  ident: JPCS_2106_1_012030bib6
  publication-title: Ann. Pure Appl. Math.
  doi: 10.22457/apam.v16n2a7
  contributor:
    fullname: Samuel
– volume: 55
  year: 2018
  ident: JPCS_2106_1_012030bib10
  publication-title: Int. J. Math. Trends Technol. (IJMTT
  contributor:
    fullname: Samuel
– volume: 1
  start-page: 1
  year: 2016
  ident: JPCS_2106_1_012030bib3
  publication-title: Int. J. Sci. Res. Mod. Educ.
  contributor:
    fullname: Balamurugan
– volume: 94
  year: 2014
  ident: JPCS_2106_1_012030bib15
  publication-title: Int. J. Pure Appl. Math.
  contributor:
    fullname: Haarsa
– volume: 8
  start-page: 221
  year: 2016
  ident: JPCS_2106_1_012030bib5
  publication-title: Int. J. Math. Res.
  contributor:
    fullname: Samuel
– volume: 30
  start-page: 75
  year: 2014
  ident: JPCS_2106_1_012030bib9
  publication-title: Math. Today
  contributor:
    fullname: Patel
– volume: 4
  start-page: 60
  year: 2014
  ident: JPCS_2106_1_012030bib1
  publication-title: Open J. Discret. Math.
  doi: 10.4236/ojdm.2014.43009
  contributor:
    fullname: Prajapati
– volume: 1
  start-page: 105
  year: 2011
  ident: JPCS_2106_1_012030bib14
  publication-title: Internat. J. Math. Soft Comput
  doi: 10.26708/IJMSC.2011.1.1.11
  contributor:
    fullname: Raj
– start-page: 27
  year: 2018
  ident: JPCS_2106_1_012030bib12
  publication-title: Int. J. Math. Trends Technol.
  contributor:
    fullname: Esakkiammal
– volume: 2268
  start-page: 40007
  year: 2020
  ident: JPCS_2106_1_012030bib11
  publication-title: AIP Conf. Proc.
  doi: 10.1063/5.0016815
  contributor:
    fullname: Rahmawati
– volume: 3
  start-page: 1
  year: 2014
  ident: JPCS_2106_1_012030bib13
  publication-title: J. Mat. UNAND
  contributor:
    fullname: Roza
SSID ssj0033337
Score 2.3270867
Snippet Abstract A bijective function f from V ( G ) to {1,2,…, n } be a prime labeling of a graph G with n order if for every u, v ∈ V ( G ) such that e = uv ∈ E ( G...
SourceID crossref
iop
SourceType Aggregation Database
Enrichment Source
Publisher
StartPage 12030
Title Prime labeling of line and splitting graph of brush graph
URI https://iopscience.iop.org/article/10.1088/1742-6596/2106/1/012030
Volume 2106
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1bS8MwFA46EXwRrzgvI6CPxl7SJumjDMcc6AY63FtobvjUjXX7_540HWwPIvahNPQ0pKeHfN_hXIrQQ5xrDUDpiALwJhlACClY6dP-UsWVYGWqfL3z2zsbTrPRLJ9t18LMF-3W_wSXoVFwUGGbECci4NApYXnBInBXWJREvv6Tgtt-QH3QDGx6TL82uzGFg4eiSP-QEJscr98n2kGofVjFFuAMTtBxyxTxc1jXKdqz1Rk6bDI2dX2OiolvzI_hIzYV5XjusGeMuKwMroFZNvnMuOlH7e-p5br-DsMLNB28fPaHpP0PAtFpxmKibMw1FaWhCbi-ShudaANQDlTCCJ0JnaQOQMYY7ngcuywDH6IUHDyrXNEid_QSdap5Za8Q5sZH4jSwQFuAK6eUdVRrV1jhHAB30kXx5t3lIrS7kE2YWgjp1SW9uqRXl0xkUFcXPYKOZGv69d_i9zvio0n_Y1dCLoy7_t-kN-go9bkmTY3gLeqslmt7B2RhpXp-q87h_Dqe9BrL-AH3_6-4
link.rule.ids 315,783,787,27936,27937,38877,38902,53854,53880
linkProvider IOP Publishing
linkToPdf http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1bS8MwFD7MieKLd3FeC_po13ubPsp0bFNnQQd7C03SKAjdWLcXf70nTStOEBH71NIkJB9JznfId04ALu2AczSU0mRovE0fTYgZh6mS_bksYiRMXabinR-GYW_kD8bBuAHdz1iYybTa-tv4qhMFawgrQRyxkEO7ZhjEoYXuSmg5lor_9GxrKuQKrOICDlQO_f5jUu_IHj6RDoxUFQmpdV4_N7ZkpVawJ1-MTncLXuruaq3JW3sxZ23-_i2T4__Hsw2bFS81rnWtHWhk-S6slfpQXuxBnKhrAAycMmX8ujGRhuKnRpoLo0AeW6qnjTL7tfrHZoviVX_uw6h7-9zpmdWtCyZ3_dA2WWZH3COp8Bx0tBkX3OECiQMSF0G4T7jjSjRpQkQysm3p--ixpCRCPy5gXhxI7wCa-STPDsGIhDr348g5sxgdR8Yy6XEu44xIiTTBaYFdo0ynOrkGLQ_FCaEKFapQoQoV6lCNSguuEEdaLbTi9-IXS8UHSedpuQRFmI_-1ug5rCc3XXrfH94dw4arRC5lcOIJNOezRXaKLGXOzsop-AFacNMy
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Prime+labeling+of+line+and+splitting+graph+of+brush+graph&rft.jtitle=Journal+of+physics.+Conference+series&rft.au=Fran%2C+F&rft.au=Putra%2C+D+R&rft.au=Pasaribu%2C+M&rft.date=2021-11-01&rft.pub=IOP+Publishing&rft.issn=1742-6588&rft.eissn=1742-6596&rft.volume=2106&rft.issue=1&rft_id=info:doi/10.1088%2F1742-6596%2F2106%2F1%2F012030&rft.externalDocID=JPCS_2106_1_012030
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1742-6588&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1742-6588&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1742-6588&client=summon