k-Product Cordial Behaviour of Union of Graphs

K. Jeya Daisey (1) , R. Santrin Sabibha (2) , P. Jeyanthi (3) , Maged Z. Youssef (4)
(1) Department of Mathematics Holy Cross College Nagercoil, Tamilnadu, India., India,
(2) Research Scholar Register no.: 20212072092001 Manonmaniam Sundaranar University Tirunelveli, Tamilnadu, India., India,
(3) Govindammal Aditaanr College for Women,Tiruchendur,Tamilnadu India, India,
(4) Department of Mathematics Ain Shams University, Abbassia, Cairo, Egypt., Egypt
https://doi.org/10.22342/jims.28.1.1025.1-7

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Issue
VOLUME 28 NUMBER 1 (MARCH 2022)
Submitted
July 7, 2021
Accepted
March 5, 2022
Published
March 13, 2022
Keywords:
    cordial labeling, product cordial labeling, k-product cordial labeling.
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Abstract

Let f be a map from V (G) to {0, 1, ..., k − 1} where k is an integer, 1 ≤ k ≤ |V (G)|. For each edge uv assign the label f(u)f(v)(mod k). f is called a k-product cordial labeling if |vf (i) − vf (j)| ≤ 1, and |ef (i) − ef (j)| ≤ 1, i, j ∈ {0, 1, ..., k − 1}, where vf (x) and ef (x) denote the number of vertices and edges respectively labeled with x (x = 0, 1, ..., k − 1). In this paper, we investigate the k-product cordial behaviour of union of graphs

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References

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Authors

K. Jeya Daisey
Department of Mathematics Holy Cross College Nagercoil, Tamilnadu, India.
R. Santrin Sabibha
Research Scholar Register no.: 20212072092001 Manonmaniam Sundaranar University Tirunelveli, Tamilnadu, India.
P. Jeyanthi
Govindammal Aditaanr College for Women,Tiruchendur,Tamilnadu India
jeyajeyanthi@rediffmail.com (Primary Contact)
Maged Z. Youssef
Department of Mathematics Ain Shams University, Abbassia, Cairo, Egypt.
Author Biographies

K. Jeya Daisey, Department of Mathematics Holy Cross College Nagercoil, Tamilnadu, India.

Assistant Professor

Department of Mathematics

R. Santrin Sabibha, Research Scholar Register no.: 20212072092001 Manonmaniam Sundaranar University Tirunelveli, Tamilnadu, India.

Research Schoar

Department of Mathematics

P. Jeyanthi, Govindammal Aditaanr College for Women,Tiruchendur,Tamilnadu India

Principal and Head

Research Centre

Department of Mathematics

Maged Z. Youssef, Department of Mathematics Ain Shams University, Abbassia, Cairo, Egypt.

Associate Professor

Department of Mathematics

Jeya Daisey, K., Santrin Sabibha, R., Jeyanthi, P., & Youssef, M. Z. (2022). k-Product Cordial Behaviour of Union of Graphs. Journal of the Indonesian Mathematical Society, 28(1), 1–7. https://doi.org/10.22342/jims.28.1.1025.1-7
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