Sum divisor cordial labeling of disjoint union of paths and subdivided star

被引:0
|
作者
Raheem, A. [1 ]
Javaid, M. [2 ]
Numan, M. [3 ]
Hasni, R. [4 ]
机构
[1] Natl Univ Modern Languages NUML, Dept Math, Rawalpindi Campus, Islamabad, Pakistan
[2] Univ Management & Technol, Sch Sci, Dept Math, Lahore, Pakistan
[3] COMSATS Univ Islamabad, Dept Math, Attock Campus, Islamabad, Pakistan
[4] Univ Malaysia Terengganu, Fac Ocean Engn Technol & Informat, Teregganu, Malaysia
关键词
Subdivided star; Paths; Sum divisor cordial labeling;
D O I
10.1080/09720529.2020.1864935
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
A bijective map rho from V(Omega) -> {1,2, ...vertical bar V(Omega)vertical bar} is called sum divisor cordial labeling for graph Omega so that for every uv is an element of E(Omega) edge is fixed the label 1 if 2 divides rho(u) + rho(v) and 0 otherwise, then the difference between number of edges labeled with 1 and the number of edges labeled with 0 by at most 1. A graph is called sum divisor cordial graph if it admits sum divisor cordial labeling. in present article, we investigate the disconnected graph such as the disjoint union of paths and subdivided star are sum divisor cordial graphs.
引用
收藏
页码:2467 / 2478
页数:12
相关论文
共 50 条
  • [1] RSEMT labeling of union of paths and subdivided star
    Raheem, A.
    Javaid, M.
    Hasni, R.
    Hanif, A.
    Shah, Nasir
    [J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2022, 25 (05): : 1363 - 1375
  • [2] Cordial Labeling for the Sum and Union of the Second Power of Paths and Stars
    Hefnawy, A. I.
    Elsid, E. A.
    Tallah, S. Euat
    [J]. UTILITAS MATHEMATICA, 2018, 108 : 283 - 291
  • [3] SUM DIVISOR CORDIAL LABELING ON SHELL RELATED GRAPHS
    Krithika, S.
    Hilda, K. Ezhilarasi
    [J]. ADVANCES AND APPLICATIONS IN MATHEMATICAL SCIENCES, 2021, 21 (01): : 205 - 212
  • [4] SEMT Labeling on Disjoint Union of Subdivided Stars
    Ali, Asghar
    Javaid, M.
    Rehman, M. A.
    [J]. PUNJAB UNIVERSITY JOURNAL OF MATHEMATICS, 2016, 48 (01): : 111 - 122
  • [5] On SEMT Labeling of Disjoint Union of Subdivided Stars and Stars
    Raheem, A.
    Javaid, M.
    Hasni, Roslan
    Shah, Nasir
    [J]. SOUTHEAST ASIAN BULLETIN OF MATHEMATICS, 2020, 44 (04) : 587 - 596
  • [6] SUM DIVISOR CORDIAL LABELING IN THE CONTEXT OF GRAPHS OPERATIONS ON BISTAR
    Adalja, Divya G.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2022, 12 (02): : 588 - 599
  • [7] On cordial related labeling of isomorphic copies of paths and subdivision of star
    Raheem, A.
    Hasni, R.
    Javaid, M.
    Umar, M. A.
    [J]. JOURNAL OF DISCRETE MATHEMATICAL SCIENCES & CRYPTOGRAPHY, 2020, 23 (07): : 1381 - 1390
  • [8] SEVERAL RESULTS ON SUM DIVISOR CORDIAL GRAPH
    Lourdusamy, A.
    Patrick, F.
    [J]. JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (3B): : 643 - 660
  • [9] DIVISOR CORDIAL LABELING IN THE CONTEXT OF JOIN AND BARYCENTRIC SUBDIVISION
    Bosmia, M., I
    Kanani, K. K.
    [J]. TWMS JOURNAL OF APPLIED AND ENGINEERING MATHEMATICS, 2019, 9 (02): : 237 - 245
  • [10] On Divisor Cordial Labeling of Certain Classes of Planar Graphs
    Sharma, Vishally
    Parthiban, A.
    [J]. JOURNAL OF ALGEBRAIC STATISTICS, 2022, 13 (02) : 1421 - 1425