On Cubic Roots Cordial Labeling for Some Graphs

Author:

ELrokh Ashraf1,Ismail Rashad2ORCID,Abd El-hay Atef3ORCID,Elmshtaye Yasser2

Affiliation:

1. Mathematics and Computer Science Department, Faculty of Science Menoufia University, Menoufia 32511, Egypt

2. Department of Mathematics, Faculty of Science and Arts, King Khalid University, Muhayl Assir 61913, Saudi Arabia

3. Department of Computer Science, Higher Institute of Computers and Information Technology, El-Shorouk Academy, Cairo 11837, Egypt

Abstract

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.

Funder

Deanship of Scientific Research at King Khalid University

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Reference17 articles.

1. Cordial Graphs: A Weaker Version of Graceful and Harmonious Graphs;Cahit;Ars. Comb.,1987

2. Cordial and 3-Equitable Labeling for Some Star Related Graphs;Vaidya;Int. Math. Forum,2009

3. A Novel Problem to Solve the Logically Labeling of Corona between Paths and Cycles;ELrokh;J. Math.,2022

4. A Novel Mathematical Model for Radio Mean Square Labeling Problem;Badr;J. Math.,2022

5. Total cordial labeling of corona product of paths and second power of fan graph;Nada;Turk. J. Comput. Math. Educ.,2022

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