On Group -Cordial Labelling of Double Uniform (𝑡1𝑙1,𝑡2𝑙2) Ply
Samina Boxwala1, Aditi S. Phadke2, Pramod N. Shinde3, Nilesh Mundlik4
1Dr. Samina Boxwala, Department of Mathematics, Modern Education Society’s, Nowrosjee Wadia College, Pune (Maharashtra), India.
2Dr. Aditi S. Phadke, Associate Professor, Department of Mathematics, Modern Education Society’s, Nowrosjee Wadia College, Pune (Maharashtra), India.
3Pramod N. Shinde, Associate Professor, Department of Mathematics, Modern Education Society’s, Nowrosjee Wadia College, Pune (Maharashtra), India.
4Dr. Nilesh Mundlik, Associate Professor, Department of Mathematics, Modern Education Society’s, Nowrosjee Wadia College, Pune (Maharashtra), India.
Manuscript received on 26 February 2026 | First Revised Manuscript received on 05 March 2026 | Second Revised Manuscript received on 20 March 2026 | Manuscript Accepted on 15 April 2026 | Manuscript published on 30 April 2026 | PP: 44-48 | Volume-6 Issue-1, April 2026 | Retrieval Number: 100.1/ijam.A124206010426 | DOI: 10.54105/ijam.A1242.06010426
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© The Authors. Published by Lattice Science Publication (LSP). This is an open-access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: Let 𝑨 denote the multiplicative group {𝟏,−𝟏,𝒊, −𝒊}. In this paper, we define the notion of double uniform (𝑡1𝑙1,𝑡2𝑙2)-ply and prove that it is a group 𝑨-cordial with each path of length at least 5 by explicitly giving labellings for all the possible cases that arise. Mathematics Subject Classification [2020]: Primary 05C78
Keywords: 𝒕-ply; Uniform 𝒕-ply; Double 𝒕-ply; Double Uniform 𝒕-ply; Group 𝑨-Cordial Labelling.
Scope of the Article: Number Theory