In \([8]\) the concept of \(H\)-kernel was introduced, which generalizes the concepts of kernel and kernel by monochromatic paths. In this paper, we prove necessary and sufficient conditions for the existence of H-kernels in the \(D\)-join of digraphs, and consequently, we will give a sufficient condition for the \(D\)-join to be \(H\)-kernel perfect.
Citation
Hortensia Galeana-Sdanchez, Rocio Sanchez-Ldopez. \(H\)-kernels in the \(D\)-join[J], Ars Combinatoria, Volume 098. 353-377. .