Abstract

A directed graph D with vertex set V is called cyclically h-partite ( h⩾2) provided one can partition V= V 0+ V 1+⋯+ V h−1 so that if ( u, υ) is an arc of D then uϵV i , and υϵV i+1 (notation mod h). In this communication we obtain a characterization of cyclically h-partite strongly connected digraphs. As a consequence we obtain a sufficient condition for a digraph to have a h-kernel.

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