Linearly many faults in Cayley graphs generated by transposition triangle free unicyclic graphs

被引:5
作者
Li, Peiheng [1 ]
Meng, Jixiang [1 ]
机构
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
关键词
Modified bubble-sort graphs; Unicyclic graphs; Cayley graphs; Transposition graphs; Triangle free; CONNECTIVITY;
D O I
10.1016/j.tcs.2020.09.042
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We consider a kind of Cayley graphs, including the modified bubble-sort graphs MBn the Cayley graphs generated by lollipop graphs H-n,H-n-1 and the other Cayley graphs generated by unicyclic triangle free graphs. We get that if we delete linearly many vertices in Cayley graphs generated by transposition unicyclic triangle free graphs, then the resulting graphs has a large connected component that comprises of nearly all residual vertices. (C) 2020 Elsevier B.V. All rights reserved.
引用
收藏
页码:95 / 102
页数:8
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