About $(k,l)$-kernels, semikernels and Grundy functions in partial line digraphs

Camino Balbuena, Hortensia Galeana-Sánchez, Mukuy-kak Guevara

Let $D=(V,A)$ be a digraph and consider an arc subset $A^{\prime }\subseteq A$ and an exhaustive mapping $\varphi :A\to A^{\prime }$ such that $(i)$ the set of heads of $A^{\prime }$ is $H(A^{\prime })=V$; $(ii)$ the map f…