Inclusive Distance Antimagic Graphs

被引:1
|
作者
Dafik [1 ,2 ]
Alfarisi, R. [1 ,4 ]
Prihandini, R. M. [1 ,4 ]
Adawiyah, R. [1 ,2 ]
Agustin, I. H. [1 ,3 ]
机构
[1] Univ Jember, CGANT, Jember, Indonesia
[2] Univ Jember, Math Educ Dept, Jember, Indonesia
[3] Univ Jember, Dept Math, Jember, Indonesia
[4] Univ Jember, Elementary Sch Teacher Educ, Jember, Indonesia
关键词
D O I
10.1063/1.5054487
中图分类号
O59 [应用物理学];
学科分类号
摘要
Let G be a nontrivial and connected graph of order n. Define a bijection function g : V(G) -> {1, 2,..., n}. For any vertex v is an element of V(G), the neighbor sum g(v) + Sigma(u is an element of N(gamma))g(u) is a called the weight of the vertices v, denoted by w(v). If w(x) not equal w(y) for any two distinct vertices x and y, then g is called an inclusive distance antimagic labeling. In this paper, we present several results on inclusive distance antimagic labeling of graphs namely joint product, friendship, complete graph, path graph, cyle graph, star graph, doubel star, broom and wheel graph.
引用
收藏
页数:9
相关论文
共 50 条
  • [1] Distance Antimagic Product Graphs
    Simanjuntak, Rinovia
    Tritama, Aholiab
    SYMMETRY-BASEL, 2022, 14 (07):
  • [2] On (a,d)-distance antimagic graphs
    Arumugam, S.
    Kamatchi, N.
    AUSTRALASIAN JOURNAL OF COMBINATORICS, 2012, 54 : 279 - 287
  • [3] Distance antimagic labeling of circulant graphs
    Sy, Syafrizal
    Simanjuntak, Rinovia
    Nadeak, Tamaro
    Sugeng, Kiki Ariyanti
    Tulus, Tulus
    AIMS MATHEMATICS, 2024, 9 (08): : 21177 - 21188
  • [4] On local distance antimagic labeling of graphs
    Handa, Adarsh Kumar
    Godinho, Aloysius
    Singh, Tarkeshwar
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2024, 21 (01) : 91 - 96
  • [5] Group Distance Magic and Antimagic Graphs
    S.CICHACZ
    D.FRONCEK
    K.SUGENG
    Sanming ZHOU
    Acta Mathematica Sinica,English Series, 2016, 32 (10) : 1159 - 1176
  • [6] Group distance magic and antimagic graphs
    Cichacz, S.
    Froncek, D.
    Sugeng, K.
    Zhou, Sanming
    ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2016, 32 (10) : 1159 - 1176
  • [7] Some Distance Antimagic Labeled Graphs
    Handa, Adarsh K.
    Godinho, Aloysius
    Singh, Tarkeshwar
    ALGORITHMS AND DISCRETE APPLIED MATHEMATICS, CALDAM 2016, 2016, 9602 : 190 - 200
  • [8] Group Distance Magic and Antimagic Graphs
    SCICHACZ
    DFRONCEK
    KSUGENG
    Sanming ZHOU
    ActaMathematicaSinica, 2016, 32 (10) : 1159 - 1176
  • [9] Group distance magic and antimagic graphs
    S. Cichacz
    D. Froncek
    K. Sugeng
    Sanming Zhou
    Acta Mathematica Sinica, English Series, 2016, 32 : 1159 - 1176
  • [10] Distance antimagic labelings of Cartesian product of graphs
    Cutinho, Nancy Jaseintha
    Sudha, S.
    Arumugam, S.
    AKCE INTERNATIONAL JOURNAL OF GRAPHS AND COMBINATORICS, 2020, 17 (03) : 940 - 942