Face irregular evaluations of family of grids

Let [Formula: see text] be a connected plane graph. Let [Formula: see text] be a k-labeling where [Formula: see text] and [Formula: see text]. The weight of a face f under ρ is defined as [Formula: see text]. Then ρ is called a face irregular labeling of type [Formula: see text] if [Formula: see tex...

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Published inAKCE international journal of graphs and combinatorics pp. 1 - 16
Main Authors Bayati, Jalal Hatem Hussein, Ovais, Ali, Mahboob, Abid, Rasheed, Muhammad Waheed
Format Journal Article
LanguageEnglish
Published Taylor & Francis Group 17.07.2024
Subjects
Cartesian Product of path graphs
Face irregular labeling of type
face irregular strength
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Abstract Let [Formula: see text] be a connected plane graph. Let [Formula: see text] be a k-labeling where [Formula: see text] and [Formula: see text]. The weight of a face f under ρ is defined as [Formula: see text]. Then ρ is called a face irregular labeling of type [Formula: see text] if [Formula: see text] for any two faces [Formula: see text]. The face irregular strength of G is the smallest integer k such that G admits a face irreg ular k-labeling. In this paper we determine the face irregular strength of the grid graph [Formula: see text] under a labeling of type [Formula: see text].
AbstractList Let [Formula: see text] be a connected plane graph. Let [Formula: see text] be a k-labeling where [Formula: see text] and [Formula: see text]. The weight of a face f under ρ is defined as [Formula: see text]. Then ρ is called a face irregular labeling of type [Formula: see text] if [Formula: see text] for any two faces [Formula: see text]. The face irregular strength of G is the smallest integer k such that G admits a face irreg ular k-labeling. In this paper we determine the face irregular strength of the grid graph [Formula: see text] under a labeling of type [Formula: see text].
Author Ovais, Ali
Bayati, Jalal Hatem Hussein
Mahboob, Abid
Rasheed, Muhammad Waheed
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Cites_doi 10.1007/s00224-013-9470-3
10.1016/0012-365X(88)90106-9
10.1016/j.disc.2005.11.075
10.1137/S0895480196314291
10.1016/j.amc.2014.03.001
10.1002/jgt.10056
10.1137/090774112
10.1016/j.disc.2009.05.023
10.1016/S0012-365X(98)00112-5
10.1016/j.amc.2014.06.028
10.1016/j.disc.2012.06.017
10.1002/jgt.3190160409
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References Mughal A. (e_1_3_1_7_1) 2021; 2021
Anholcer M. (e_1_3_1_5_1) 2011; 312
Bača M. (e_1_3_1_6_1)
Ryan J. (e_1_3_1_18_1)
Lehel J. (e_1_3_1_16_1) 1991
e_1_3_1_10_1
e_1_3_1_9_1
e_1_3_1_14_1
e_1_3_1_8_1
e_1_3_1_13_1
e_1_3_1_12_1
e_1_3_1_4_1
e_1_3_1_17_1
e_1_3_1_15_1
Chartrand G. (e_1_3_1_11_1) 1988; 64
e_1_3_1_3_1
e_1_3_1_2_1
References_xml – ident: e_1_3_1_3_1
  doi: 10.1007/s00224-013-9470-3
– ident: e_1_3_1_14_1
  doi: 10.1016/0012-365X(88)90106-9
– ident: e_1_3_1_9_1
  doi: 10.1016/j.disc.2005.11.075
– ident: e_1_3_1_17_1
  doi: 10.1137/S0895480196314291
– ident: e_1_3_1_10_1
  doi: 10.1016/j.amc.2014.03.001
– ident: e_1_3_1_13_1
  doi: 10.1002/jgt.10056
– volume: 64
  start-page: 187
  year: 1988
  ident: e_1_3_1_11_1
  article-title: Irregular networks
  publication-title: Congr. Numer
  contributor:
    fullname: Chartrand G.
– start-page: 765
  volume-title: Graph Theory Combinatorics and Applications
  year: 1991
  ident: e_1_3_1_16_1
  contributor:
    fullname: Lehel J.
– ident: e_1_3_1_15_1
  doi: 10.1137/090774112
– ident: e_1_3_1_6_1
  article-title: On face irregular evaluations of plane graphs
  publication-title: Discussiones Math. Graph Theory
  contributor:
    fullname: Bača M.
– ident: e_1_3_1_4_1
  doi: 10.1016/j.disc.2009.05.023
– volume: 2021
  year: 2021
  ident: e_1_3_1_7_1
  article-title: Total face irregularity strength of grid and wheel graph under K-labeling of type (1,1,0)
  publication-title: Hindawi, J. Math.
  contributor:
    fullname: Mughal A.
– ident: e_1_3_1_8_1
  doi: 10.1016/S0012-365X(98)00112-5
– ident: e_1_3_1_2_1
  doi: 10.1016/j.amc.2014.06.028
– volume: 312
  start-page: 3461
  year: 2011
  ident: e_1_3_1_5_1
  article-title: Irregular labellings of circulant graphs
  publication-title: Discrete Math
  doi: 10.1016/j.disc.2012.06.017
  contributor:
    fullname: Anholcer M.
– volume-title: Reflexive irregular labelings
  ident: e_1_3_1_18_1
  contributor:
    fullname: Ryan J.
– ident: e_1_3_1_12_1
  doi: 10.1002/jgt.3190160409
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SubjectTerms Cartesian Product of path graphs
Face irregular labeling of type
face irregular strength
Title Face irregular evaluations of family of grids
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