semikernels

semikernels

1. plural of semikernel
   • 2016, Camino Balbuena, Hortensia Galeana-Sánchez, Mukuy-kak Guevara, “About ${\displaystyle (k,l)}$-kernels, semikernels and Grundy functions in partial line digraphs”, in arXiv‎:

     Moreover, if ${\displaystyle l<k}$ and the girth of ${\displaystyle D}$ is at least ${\displaystyle l+1}$, then these two numbers are equal. The number of semikernels of ${\displaystyle D}$ is equal to the number of semikernels of ${\displaystyle {\mathcal {L}}D}$. Also we introduce the concept of ${\displaystyle (k,l)}$-Grundy function as a generalization of the concept of Grundy function and we prove that the number of ${\displaystyle (k,l)}$-Grundy functions of ${\displaystyle D}$ is equal to the number of ${\displaystyle (k,l)}$-Grundy functions of any partial line digraph ${\displaystyle {\mathcal {L}}D}$..