No-hole $\lambda$-$L(k,k-1,\dots ,2,1)$-labeling for Square Grid

Soumen Atta, Priya Ranjan Sinha Mahapatra, Stanisław Goldstein

Given a fixed $k$ $\in$ ${\mathbb{Z}}^{+}$ and $\lambda$ $\in$ ${\mathbb{Z}}^{+}$, the objective of a $\lambda$-$L(k,k-1,\dots ,2,1)$-labeling of a graph $G$ is to assign non-negative integers (kn…