Feedback Arc Number and Feedback Vertex Number of Cartesian Product of Directed Cycles
Joint Authors
Chen, Xiaohong
Wu, Baoyindureng
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-4, 4 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-12-16
Country of Publication
Egypt
No. of Pages
4
Main Subjects
Abstract EN
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→.
Actually, it is shown that τ′D=n1n2…nk∑i=1k1/ni, and if nk≥…≥n1≥3 then τD=n2…nk.
American Psychological Association (APA)
Chen, Xiaohong& Wu, Baoyindureng. 2019. Feedback Arc Number and Feedback Vertex Number of Cartesian Product of Directed Cycles. Discrete Dynamics in Nature and Society،Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1146521
Modern Language Association (MLA)
Chen, Xiaohong& Wu, Baoyindureng. Feedback Arc Number and Feedback Vertex Number of Cartesian Product of Directed Cycles. Discrete Dynamics in Nature and Society No. 2019 (2019), pp.1-4.
https://search.emarefa.net/detail/BIM-1146521
American Medical Association (AMA)
Chen, Xiaohong& Wu, Baoyindureng. Feedback Arc Number and Feedback Vertex Number of Cartesian Product of Directed Cycles. Discrete Dynamics in Nature and Society. 2019. Vol. 2019, no. 2019, pp.1-4.
https://search.emarefa.net/detail/BIM-1146521
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1146521