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

For a digraph D, the feedback vertex number τD, (resp. the feedback arc number τ′D) is the minimum number of vertices, (resp. arcs) whose removal leaves the resultant digraph free of directed cycles. In this note, we determine τD and τ′D for the Cartesian product of directed cycles D=Cn1→□Cn2→□…Cnk→...

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Bibliographic Details
Main Authors: Xiaohong Chen, Baoyindureng Wu
Format: Article
Language:English
Published: Wiley 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/7028573
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