【摘 要】
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Let D=(V, A) be a digraph with minimum indegree at least one and girth at least k, where k≥2 is an integer. In this paper, the following results were proved. A
【机 构】
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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P.R. China
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Let D=(V, A) be a digraph with minimum indegree at least one and girth at least k, where k≥2 is an integer. In this paper, the following results were proved. A digraph D has a ( k,l)-kernel if and only if its line digraph L(D) does, and the number of (k,l)-kernels in D is equal to the number of (k,l)-kernels in L(D), where 1≤l＜k. As a consequence, previous results about k-kernels in the line digraphs were gained.
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