Indian Journal of Science and Technology

Abstract

Objectives: To explore and detect some new types of graphs that exhibit even triangular graceful labeling. Methods: The methodology entails developing a mathematical formulation for labeling a given graph's vertices and demonstrating that these formulations result in Even triangular graceful labeling. Findings: Here we describe even triangular graceful labeling which is a new version of triangular graceful labeling. In the present paper, we establish even triangular graceful labeling for multi-star graph . Novelty: Odd triangular graceful labeling was introduced by Lina and Asha S, here we find the even triangular graceful number for cycle and some special graphs like generalized theta graph θ( , , ..., ), Golomb graph, Soifer graph, Moser Spindle graph. This is the first attempt of its sort, involving the investigation of even triangular graceful numbers for special graphs.

Keywords: Triangular graceful graphs, Triangular graceful numbers, Even triangular graceful labeling, Even triangular graceful graphs, Even triangular graceful numbers 1