Improved Bounds on the Span of $L(1,2)$-edge Labeling of Some Infinite Regular Grids

Susobhan Bandopadhyay, Sasthi C. Ghosh, Subhasis Koley

For two given nonnegative integers $h$ and $k$, an $L(h,k)$-edge labeling of a graph $G$ is the assignment of labels $\{0,1,\cdots ,n\}$ to the edges so that two edges having a co…