On H-Irregularity Strength of Grid Graphs

Abstract

This paper deals with three graph characteristics related to graph covering named the (vertex, edge, and total, resp.) H-irregularity strength of a graph G admitting H-covering. Those are the minimum values of positive integer k such that G has an H-irregular (vertex, edge, and total, resp.) k-labeling. The exact values of these three characteristics are determined for grid graph admitting grid-covering

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