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Original Research

CENTERED TRIANGULAR GRACEFUL LABELING FOR SOME SPECIAL GRAPHS

A.NEERAJAH 1, and Dr. P.SUBRAMANIAN 2.

Vol 18, No 04 ( 2023 )   |  DOI: 10.17605/OSF.IO/B6EXQ   |   Author Affiliation: Assistant Professor, PSGR Krishnammal College for Women, Coimbatore 1; Assistant Professor, Government Arts College, Coimbatore 2.   |   Licensing: CC 4.0   |   Pg no: 1148-1155   |   Published on: 25-04-2023

Abstract

A graph G=(V,E) is whispered to be Centered Triangular Graceful, if there survives an injective function f:V(G)  {0,1,2,…,CT_(q-1)} where CT_(q-1) remains the (〖q-1)〗^th Centered Triangular number such that the induced mapping f^*:E(G)  {CT_1,CT_2,…,CT_(q-1)} defined by f^* (uv)=|f(u) – f(v)| is an injection designed for all edges uv ∈ E(G). If f^* ( E(G)) is an sequence of distinct consecutive centered triangular numbers then the function f is known to be centered triangular graceful labeling and the graph G which concedes f is called a Centered Triangular Graceful Graph. Some special graphs which admit Centered Triangular Graceful Graph was discussed.


Keywords

Centered Triangular Graceful Labeling, Centered Triangular Graceful Graph