RETRACTED: On Cubic Roots Cordial Labeling for Some Graphs (Retracted Article)

被引：3

作者：

ELrokh, Ashraf ^{[1
]}

Ismail, Rashad ^{[2
]}

Abd El-hay, Atef ^{[3
]}

Elmshtaye, Yasser ^{[2
]}

机构：

[1] Menoufia Univ, Math & Comp Sci Dept, Fac Sci, Menoufia 32511, Egypt

[2] King Khalid Univ, Fac Sci & Arts, Dept Math, Muhayl Assir 61913, Saudi Arabia

[3] El Shorouk Acad, Higher Inst Comp & Informat Technol, Dept Comp Sci, Cairo 11837, Egypt

来源：

SYMMETRY-BASEL | 2023年 / 15卷 / 05期

关键词：

graph; cordial labeling; cubic roots of unit;

D O I：

10.3390/sym15050990

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper we used the cubic roots of unit group together with the concept of cordiality in graph theory to introduce a new method of labeling, this construed cubic cordial labeling can be applied to all paths, cycles, fans and wheel graphs. Moreover, some other properties are investigated and show that the union of any two cycles and the union any two paths are cubic cordial graphs. Also, we study the cubic cordiality for the union of any cycle with a path.

引用

页数：10

共 17 条

[1] Abd El-hay A., 2022, Turkish Journal of Computer and Mathematics Education (TURCOMAT), V13, P681
[2] Abd El-hay A, 2022, ITAL J PURE APPL MAT, P287
[3] Computing Antimagic Labeling of Lattically Designed Symmetric Networks
Afzal, Hafiz Usman
Alamer, Ahmed
Javaid, Muhammad
[J]. IEEE ACCESS, 2022, 10 : 32394 - 32405
[4] A Novel Mathematical Model for Radio Mean Square Labeling Problem
Badr, Elsayed
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Ali Al-Shamiri, Mohammed M.
Abdel-Hay, Atef
ELrokh, Ashraf
[J]. JOURNAL OF MATHEMATICS, 2022, 2022
[5] CAHIT I, 1987, ARS COMBINATORIA, V23, P201
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[7] ELrokh A., 2022, J MATH-UK, V2022, P2312206
[8] Gallian J. A., 2022, Electronic Journal of Combinatorics, V1000, DOI [10.37236/11668, DOI 10.37236/11668]
[9] Locating Chromatic Number of Powers of Paths and Cycles
Ghanem, Manal
Al-Ezeh, Hasan
Dabbour, Ala'a
[J]. SYMMETRY-BASEL, 2019, 11 (03):
[10] Nada S., 2022, Turkish Journal of Computer and Mathematics Education (TURCOMAT), V13, P597

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