ON LEGENDRE ABSOLUTE DIFFERENCE CORDIAL LABELING OF SOME SPECIAL GRAPHS

Abstract: Cahit originally proposed the premise of cordial labelling in 1987. Legendre Cordial Labelling initially emerged by Jason D. Andoyo & F. Rulete in 2025. Inspired by this effort, we designed Legendre Absolute Difference Cordial Labelling. A bijection is typically referred to as a Legendre absolute difference cordial labelling modulo , wherein constitutes an odd prime, assuming as basic connected graph while the resultant map laid out as if or , & if or , whence , , fulfills the condition whence remains the count of labelled edges . The analysis of Legendre absolute difference cordial labelling modulo for certain networks, such as Y-tree graph, F- tree graph, Triangular snake graph and Trianglar book graph. Keywords: Legendre absolute difference cordial Y-tree, F- tree graph, Triangular snake graph and Trianglar book graph. Title: ON LEGENDRE ABSOLUTE DIFFERENCE CORDIAL LABELING OF SOME SPECIAL GRAPHS Author: R. Anusuya, G. Priscilla Pacifica International Journal of Mathematics and Physical Sciences Research ISSN 2348-5736 (Online) Vol. 14, Issue 1, April 2026 - September 2026 Page No: 150-155 Research Publish Journals Website: www.researchpublish.com Published Date: 10-September-2026 DOI: https://doi.org/10.5281/zenodo.22687855 Paper Download Link (Source) https://www.researchpublish.com/papers/on-legendre-absolute-difference-cordial-labeling-of-some-special-graphs