$L(j, \, k)$-Labelings of Kronecker Products of Complete Graphs
Md. Emdadul Haque, Pranava K. Jha · IEEE Transactions on Circuits & Systems II Express Briefs · 2008
For positive integers j ges k, an L(j, k)-labeling of a graph G is an integer labeling of its vertices such that adjacent vertices receive labels that differ by at least j and vertices that are distance two apart receive labels that differ by at least k. We determine lambdajk(G) for the case when G is a Kronecker product of finitely many complete graphs, where there are certain conditions on j and k. Areas of application include frequency allocation to radio transmitters.