Turkish Journal of Computer and Mathematics Education
Journal license

Journal

Turkish Journal of Computer and Mathematics Education


Volume
& Issue

Volume 14, Issue 2


Published
on


Pages

806-823


DOI

Article

Solving Singed Product Cordial Labeling of Corona Products of Paths and the Third Power of Lemniscate Graphs


Authors

Atef Abd El-Hay Affiliation:
Dept. of Math., Faculty of Science, Menoufia University, Shebeen Elkom, Egypt.
, Yasser Elmshtaye Affiliation:
Dept.of Math, Faculty of Science and Art, Muharyl Asser, King khalid University, Abha, Saudi Arabia
and A. Elrokh Affiliation:
Dept. of Math., Faculty of Science, Menoufia University, Shebeen Elkom, Egypt


Abstract

A graph $G = (V, E)$ is called singed product cordial if it is possible to label the vertex by the function $f: V \to \{-1,1\}$ and label the edges by $f^*: E \to \{-1,1\}$, where $f^*(uv) = f(u)f(v)$, $u, v \in V$ so that $|v_{-1} - v_1| \le 1$ and $|e_{-1} - e_1| \le 1$. In our work we present necessary and sufficient conditions for which the singed product cordial labeling of corona product of paths and third power of lemniscate graph.


Keywords

Path, Lemniscate, Third power of graph, Corona Product, Singed product cordial labeling


Citation

Abd El-Hay, A., Elmshtaye, Y., & Elrokh, A. (2023). Solving singed product cordial labeling of corona products of paths and the third power of lemniscate graphs. Turkish Journal of Computer and Mathematics Education, 14(2), 806–823.

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