In this paper we have investigated harmonious labelings of \(p\)-stars, where a \(p\)-star of length \(x\) is a star tree in which each edge is a path of length \(k\). We have also demonstrated an application of the labelings to \(k\) disjoint \(p\)-cycles.
Citation
I. Cahit. On Harmonious Tree Labelings[J], Ars Combinatoria, Volume 041. 311-317. .