Feedback Arc Number and Feedback Vertex Number of Cartesian Product of Directed Cycles

Xiaohong Chen and Baoyindureng Wu

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-4

Abstract:

For a digraph , the feedback vertex number , (resp. the feedback arc number ) is the minimum number of vertices, (resp. arcs) whose removal leaves the resultant digraph free of directed cycles. In this note, we determine and for the Cartesian product of directed cycles . Actually, it is shown that , and if then .

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:7028573

DOI: 10.1155/2019/7028573

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