A Note of Generalization of Fractional ID-factor-critical Graphs
نویسندگان
چکیده
In communication networks, the binding numbers of graphs (or networks) are often used to measure vulnerability and robustness networks). Furthermore, fractional factors ID-[a, b]-factor-critical covered have a great deal important applications in data transmission networks. this paper, we investigate relationship between graphs, derive number condition for graph be covered, which is an extension Zhou’s previous result [S. Zhou, Binding ID-k-factor-critical Acta Mathematica Sinica, English Series 30(1)(2014)181–186].
منابع مشابه
A result on fractional ID-[a, b]-factor-critical graphs
A graphG is fractional ID-[a, b]-factor-critical ifG−I includes a fractional [a, b]-factor for every independent set I of G. In this paper, it is proved that if α(G) ≤ 4b(δ(G)−a+1) (a+1)2+4b , then G is fractional ID-[a, b]-factor-critical. Furthermore, it is shown that the result is best possible in some sense.
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ژورنال
عنوان ژورنال: Fundamenta Informaticae
سال: 2022
ISSN: ['1875-8681', '0169-2968']
DOI: https://doi.org/10.3233/fi-222130