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The g-Component Connectivity of Some Networks

The g-Component Connectivity of Some Networks
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摘要 In 2012, Hsu et al. generalized the classical connectivity of graph G and introduced the concept of g-component connectivity CK<sub>g</sub> (G) to measure the fault tolerance of networks. In this paper, we determine the g-component connectivity of some graphs, such as fan graph, helm graph, crown graph, Gear graph and the Mycielskian graph of star graph and complete bipartite graph. In 2012, Hsu et al. generalized the classical connectivity of graph G and introduced the concept of g-component connectivity CK<sub>g</sub> (G) to measure the fault tolerance of networks. In this paper, we determine the g-component connectivity of some graphs, such as fan graph, helm graph, crown graph, Gear graph and the Mycielskian graph of star graph and complete bipartite graph.
作者 Ganghua Xie Yinkui Li Ganghua Xie;Yinkui Li(Department of Mathematics, Qinghai Nationalities University, Xining, China)
出处 《Open Journal of Applied Sciences》 2023年第12期2421-2430,共10页 应用科学(英文)
关键词 g-Component Connectivity Mycielskian Graph The Fault Tolerance of Networks g-Component Connectivity Mycielskian Graph The Fault Tolerance of Networks
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