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A Note of Generalization of Fractional ID-factor-critical Graphs

Sizhong Zhou

Fundamenta Informaticae

2022

Vol. 187 nr 1

61--69

In communication networks, the binding numbers of graphs (or networks) are often used to measure the vulnerability and robustness of graphs (or networks). Furthermore, the frac- tional factors of graphs and the fractional ID-[a, b]-factor-critical covered graphs have a great deal of important

applications in the data transmission networks. In this paper, we investigate the rela- tionship between the binding numbers of graphs and the fractional ID-[a, b]-factor-critical covered graphs, and derive a binding number condition for a graph to be fractional ID-[a, b]-factor-critical covered, which is an extension of Zhou’s previous result [S. Zhou, Binding numbers for fractional ID-k-factor-critical graphs, Acta Mathematica Sinica, English Series 30(1)(2014)181–186].

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1 Fundamenta Informaticae

1 Sizhong Zhou

1 2022