d - Lucky Face Labeling of Polytopes

Abstract

Objectives: Our main focus in this study is to apply the concept of d-lucky face labeling to a family of polytopes like D n , S n , T n and U n . Methods: The results were obtained by the method of application of formula to the graphs. Findings: We have found the d-lucky face number and proved the graphs are Euler lucky graphs. Novelty: The concept of d-lucky face labeling and Euler lucky graphs are new findings. The d-lucky face labeling differs from other face labeling by its formula.