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Research Article

The generalized 4-connectivity of folded hypercube

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Pages 235-245 | Received 30 Apr 2022, Accepted 05 Sep 2022, Published online: 21 Sep 2022

References

  • J.A. Bondy and U.S.R. Murty, Graph Theory , Graduate Texts in Mathematics, 2008.
  • A. El-Amawy and S. Latifi, Properties and performance of folded hypercubes, IEEE Trans. Parallel Distributed Syst. 2(1) (1991), pp. 31–42.
  • H. Gao, B. Lv, and K. Wang, Two lower bounds for generalized 3-connectivity of Cartesian product graphs, Appl. Math. Comput. 338 (2018), pp. 305–313.
  • M. Hager, Pendent tree-connectivity, J. Combin. Theory Ser. B, 38 (1985), pp. 179–189.
  • S. Li, X. Li, and W. Zhou, Sharp bounds for the generalized connectivity κ3(G), Discrete Math. 310(15-16) (2010),pp. 2147–2163.
  • S. Li, J. Tu, and C. Yu, The generalized 3-connectivity of star graphs and bubble-sort graphs, Appl. Math. Comput. 274 (2016), pp. 41–46.
  • S. Li, Y. Shi, and J. Tu, The generalized 3-connectivity of Cayley graphs on symmetric groups generated by trees and cycles, Graph Combin. 33 (5) (2017), pp. 1195–1209.
  • H. Li, Y. Ma, W. Yang, and Y. Wang, The generalized 3-connectivity of graph products, Appl. Math. Comput. 295 (2017), pp. 77–83.
  • S. Li, Y. Zhao, F. Li, and R. Gu, The generalized 3-connectivity of the Mycielskian of a graph, Appl. Math. Comput. 347 (2019), pp. 882–890.
  • S. Lin and Q. Zhang, The generalized 4-connectivity of hypercubes, Discrete Appl. Math. 220 (2017), pp. 60–67.
  • J. Xu, Q. Zhu, X. Hou, and T. Zhou, On restricted connectivity and extra connectivity of hypercubes and folded hypercubes, J. Shanghai Jiaotong Univ (Science). 10 (2) (2005), pp. 203–207.
  • S. -L. Zhao and R. -X. Hao, The generalized connectivity of alternating group graphs and (n,k) (n,k)-star graphs, Discrete Appl. Math. 251 (2018), pp. 310–321.
  • S. -L. Zhao and R. -X. Hao, The generalized 4-connectivity of exchanged hypercubes, Appl. Math. Comput. 347 (2019),pp. 342–353.
  • S. -L. Zhao, R. -X. Hao, and J. Wu, The generalized 3-connectivity of some Regular Networks, J. Parallel Distrib. Comput. 133 (2019), pp. 18–29.
  • S. -L. Zhao, R. -X. Hao, and J. Wu, The generalized 4-connectivity of hierarchical cubic networks, Discrete Appl. Math. 289 (2021), pp. 194–206.

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