| Issue |
ITM Web Conf.
Volume 25, 2019
2018 3rd International Conference on Intelligent Computing and Cognitive Informatics (ICICCI 2018)
|
|
|---|---|---|
| Article Number | 01013 | |
| Number of page(s) | 4 | |
| Section | Intelligent Computing | |
| DOI | https://doi.org/10.1051/itmconf/20192501013 | |
| Published online | 01 February 2019 | |
Feedback Numbers of Möbius Ladders
School of Information Engineering, Dalian Ocean University, Dalian, 116023, China
a Corresponding author: zhangsijia@dlou.edu.cn
A subset F ⊂ V(G) is called a feedback vertex set if the subgraph G−F is acyclic. The minimum cardinality of a feedback vertex set is called the feedback number of G, which is proposed by Beineke and Vandell [1]. In this paper, we consider a particular topology graph called Möbius ladders M2n. We use f(M2n) to denote the feedback number of M2n. This paper proves that f (M2n) = [n+1/2], n≥3.
© The Authors, published by EDP Sciences, 2019
This is an open access article distributed under the terms of the Creative Commons Attribution License 4.0 (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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