Author:
Zhou Sizhong,Wu Jiancheng,Liu Hongxia
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 U ⊆ V(G) with |U| = k, which is first defined by (Zhou, Xu and Sun, Inf. Process. Lett. 152 (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
k(G) ≥ max {2b(a+1)(b+1)+4bk+5/4b,(a+1)2𝛼(G)+4bk+5/4b}.
Subject
Management Science and Operations Research,Computer Science Applications,Theoretical Computer Science
Cited by
16 articles.
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