Edge Even Graceful Labeling of Polar Grid Graphs

Abstract

Edge Even Graceful Labelingwas first defined byElsonbaty and Daoud in 2017. An edge even graceful labeling of a simple graph with vertices and edges is a bijection from the edges of the graph to the set such that, when each vertex is assigned the sum of all edges incident to it where , the resulting vertex labels are distinct. In this paper we proved necessary and sufficient conditions for the polar grid graph to be edge even graceful graph.

Keywords

• graceful labeling
• edge graceful labeling
• edge even graceful labeling
• polar grid graph