Feedback Numbers of Goldberg Snark, Twisted Goldberg Snarks and Related Graphs

Autor: Zhang Xinyue, Wang Yijin, Zhang Sijia
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: ITM Web of Conferences, Vol 25, p 01012 (2019)
Druh dokumentu: article
ISSN: 2271-2097
DOI: 10.1051/itmconf/20192501012
Popis: A subset of vertices of a graph G is called a feedback vertex set of G if its removal results in an acyclic subgraph. The minimum cardinality of a feedback vertex set is called the feedback number. In this paper, we determine the exact values of the feedback numbers of the Goldberg snarks Gn and its related graphs Gn*, Twisted Goldberg Snarks TGn and its related graphs TGn*. Let f(n) denote the feedback numbers of these graphs, we prove that f(n)=2n+1, for n≥3.
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