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- W4293400332 abstract "A graph $G$ is a fractional $(a,b,k)$-critical covered graph if $G-U$ is a fractional $[a,b]$-covered graph for every $Usubseteq V(G)$ with $|U|=k$, which is first defined by Zhou, Xu and Sun (S. Zhou, Y. Xu, Z. Sun, Degree conditions for fractional $(a,b,k)$-critical covered graphs, Information Processing Letters, DOI: 10.1016/j.ipl.2019.105838). Furthermore, they derived a degree condition for a graph to be a fractional $(a,b,k)$-critical covered graph. In this paper, we gain an independence number and connectivity condition for a graph to be a fractional $(a,b,k)$-critical covered graph and verify that $G$ is a fractional $(a,b,k)$-critical covered graph if $$ kappa(G)geqmaxBig{frac{2b(a+1)(b+1)+4bk+5}{4b},frac{(a+1)^{2}alpha(G)+4bk+5}{4b}Big}. $$" @default.
- W4293400332 created "2022-08-28" @default.
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- W4293400332 date "2019-09-03" @default.
- W4293400332 modified "2023-09-26" @default.
- W4293400332 title "Independence number and connectivity for fractional (a,b,k)-critical covered graphs" @default.
- W4293400332 doi "https://doi.org/10.48550/arxiv.1909.01070" @default.
- W4293400332 hasPublicationYear "2019" @default.
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