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Research Article

The generalized 4-connectivity of complete-transposition graphs

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Pages 399-412 | Received 28 Jun 2023, Accepted 08 Sep 2023, Published online: 25 Sep 2023

References

  • Chartrand G, Kapoor SF, Lesniak L, et al. Generalized connectivity in graphs. Bombay Math. 1984;2:1–6. doi: 10.1002/net.20339
  • Li S-S, Li X-L, Zhou W-L. Sharp bounds for the generalized connectivity κ3(G). Discrete Math. 2010;310(15-16):2147–2163. doi: 10.1016/j.disc.2010.04.011
  • Lin S-W, Zhang Q-H. The generalized 4-connectivity of hypercubes. Discrete Appl Math. 2001;220:60–67. doi: 10.1016/j.dam.2016.12.003
  • Zhao S-L, Hao R-X. The generalized 4-connectivity of exchanged hypercubes. Appl Math Comput. 2019;347:342–353. doi: 10.1016/j.amc.2018.11.023
  • Liu H-Q, Chen D-Q. The generalized 4-connectivity of folded hypercube. Int J Comput Math Comput Syst Theory. 2022;7(4):235–245. doi: 10.1080/23799927.2022.2123405
  • Zhao S-L, Hao R-X, Wu J. The generalized 4-connectivity of hierarchical cubic networks. Discrete Appl Math. 2021;289:194–206. doi: 10.1016/j.dam.2020.09.026
  • Li C-F, Lin S-W, Li S-J. The 4-set tree connectivity of (n,k)-star networks. Theor Comput Sci. 2020;844:81–86. doi: 10.1016/j.tcs.2020.08.004
  • Wang Y-L, Feng W. The generalized 4-connectivity of bubble-sort. J Henan Norm Univ. 2023;51(01):47–53.
  • Zhao S-L, Chang J-M, Li H-Z. The generalized 4-connectivity of pancake graphs. Discret Appl Math. 2023;327:77–86. doi: 10.1016/j.dam.2022.11.020
  • Zhao S-L, Hao R-X. The generalized three-connectivity of two kinds of Cayley graphs. Comput J. 2019;62:144–149. doi: 10.1093/comjnl/bxy054
  • Ge H-F, Zhang S-M, Ye C-F, et al. The generalized 4-connectivity of folded Petersen cube networks. AIMS Math. 2022;7(8):14718–14737. doi: 10.3934/math.2022809
  • Zhao S-L, Chang J-M. Reliability assessment of the divide-and-swap cube in terms of generalized connectivity. Theor Comput Sci. 2023;943:1–15. doi: 10.1016/j.tcs.2022.12.005
  • Zhao S-L, Hao R-X, Wei C. Internally disjoint trees in the line graph and total graph of the complete bipartite graph. Appl Math Comput. 2022;422:126990. doi: 10.1016/j.amc.2022.126990
  • Bondy J, Murty US. Graph theory. New York (NY): Springer; 2008.
  • Akers SB, Krishnamurthy B. A group-theoretic model for symmetric interconnection networks. IEEE Trans Comput. 1989;38(4):555–566. doi: 10.1109/12.21148
  • Li S-S. Some topics on generalized connectivity of graphs [PhD thesis]. Nankai University; 2012.
  • Wang G-L, Shi H-Z, Hou F-F, et al. Some conditional vertex connectivities of complete transposition graphs. Inf Sci. 2015;295:536–543. doi: 10.1016/j.ins.2014.10.032

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