References
- M. Abdallah and C. Hung, Neighbor connectivity of the alternating group graph, J. Interconnect. Netw. 21(3) (2021), pp. 2150014.
- S.B. Akers and B. Krishnamurthy, A group-theoretic model for symmetric interconnection networks, IEEE Trans. Comput. 38(4) (1989), pp. 555–566.
- N. Biggs and A. White, Permutation Groups and Combinatorial Structures, Cambridge University Press, London, Vol. 33, 1979.
- J. Bondy and U.S. Murty, Graph Theory, New York, Springer, 2008.
- B.-H. Chen, W.-J. Xiao, and B. Parhami, Internode distance and optimal routing in a class of alternating group networks, IEEE Trans. Comput. 55(12) (2006), pp. 1645–1648.
- Y.-J. Chen and S.-Y. Wang, The restricted edge connectivity of the bubble-sort, J. Taiyuan Norm Univ. 9(3) (2010), pp. 27–29.
- E. Cheng, K. Qiu, and Z.-Z. Shen, A note on the alternating group network, J. Supercomput. 59(1) (2012), pp. 246–248.
- W.-K. Chiang and R.-J. Chen, The (n,k)-star graph: A generalized star graph, Inf. Process. Lett. 56(5) (1995), pp. 259–264.
- W.-K. Chiang and R.-J. Chen, Topological properties of the (n,k)-star graph, Int. J. Found. Comput. Sci.9(2) (1998), pp. 235–248.
- P. Cull and S. Larson, The M o¨bius cubes, IEEE Trans. Comput. 44(5) (1995), pp. 647–659.
- S. Ediz and İ Çiftçi., On k-regular edge connectivity of chemical graphs, Main Group Met. Chem.45(1) (2022), pp. 106–110.
- K. Efe, The crossed cube architecture for parallel computation, IEEE Trans. Parallel. Distribut. Syst.3(5) (1992), pp. 513–524.
- A.-H. Esfahanian and S.L. Hakimi, On computing a conditional edge-connectivity of a graph, Inform. Process. Lett. 27(4) (1988), pp. 195–199.
- J. Fàbrega and M.A. Fiol, Extraconnectivity of graphs with large girth, Discret. Math. 127(1–3) (1994), pp. 163–170.
- J. Fàbrega and M.A. Fiol, On the extraconnectivity of graphs, Discret. Math. 155(1–3) (1996), pp. 49–57.
- J.-X. Fan and L.-Q. He, BC interconnection networks and their properties, Chin. J. Comput. 26(1) (2003), pp. 84–90.
- Y.-Q. Feng, R.-X. Hao, and J.-X. Zhou, On computing of a conditional edge connectivity of alternating group network, Linear Multilinear A 65(12) (2017), pp. 2949–2507.
- J. Guo, M. Lu, and X. Wang, The (strong) structure connectivity and (strong) substructure connectivity of the (n,k)- bubble-sort network, Appl. Math. Comput. 425 (2022), pp. 127078.
- L.-T. Guo, M.-Z. Zhang, S.-H. Zhai, and L.-Q. Xu, Relation of extra edge connectivity and component edge connectivity for regular networks, Int. J. Found. Comput. S 32(2) (2021), pp. 137–149.
- F. Harary, Conditional connectivity, Networks 13(3) (1983), pp. 347–357.
- P. Hibers, M. Koopman, and D. Snepscheut, The twisted cube, in Proc. Conf. Parallel Architectures and Languages Europe, Springer, Berlin, Heidelberg, 1987, pp. 152–159.
- Y.-H. Ji, A new class of Cayley networks based on the alternating groups, Adv. Math. 27 (1998), pp. 361–362.
- S. Lakshmivarahan, J.-S. Jwo, and S. Dhall, Symmetry in interconnection networks based on cayley graphs of permutation groups a survey, Parallel Comput. 19(4) (1993), pp. 361–407.
- X.-J. Li, Q.-Q. Dong, Z. Yan, and J.-M. Xu, Embedded connectivity of recursive networks, Theor. Comput. Sci. 653 (2016), pp. 79–86.
- X.-J. Li, X.-Q. Zeng, and J.-M. Xu, Note on reliability evaluation of arrangement graphs, Appl. Math. Comput. 418 (2022), pp. 126845.
- D. Liu, P.-S. Li, and B.-C. Zhang, Component edge connectivity of hypercube-like networks, Theor. Comput. Sci. 911 (2022), pp. 19–25.
- F.-X. Liu and J.-X. Meng, Edge-connectivity of regular graphs with two orbits, Discret. Math. 308(16) (2008), pp. 3711–3716.
- X.-M. Liu and J.-X. Meng, The k-restricted edge-connectivity of the data center network DCell, Appl. Math. Comput. 396(1) (2021), pp. 113614.
- J. Neil and S. Zoltan, Edge-connectivity of permutation hypergraphs, Discrete Math. 32 (2012), pp. 2536–2539.
- E. Sampathkumar, Connectivity of a graph-a generalization, J. Comb. Inf. Syst. Sci. 9(2) (1984), pp. 71–78.
- A. Vaidya, P. Rao, and S. Shankar, A class of hypercube-like networks, in Proceedings of the 5th Symposium on Parallel and distributed Processing. IEEE Computer Soc, Vol. 193, pp. 800–803.
- M. Wan and Z. Zhang, A kind of conditional vertex connectivity of star graphs, Appl. Math. Lett.22(2) (2009), pp. 264–267.
- Y.-L. Wei, R.-H. Li, and W.-H. Yang, The g-extra edge-connectivity of balanced hypercubes, J. Interconnect. Netw. 21(4) (2021), pp. 2142008.
- Y.-X. Yang, Embedded edge connectivity of k-ary n-cubes, Inf. Process. Lett. 180 (2023), pp. 106328.
- W.-H. Yang, H.-Z. Li, and J.-X. Meng, Conditional connectivity of Cayley graphs generated by transposition trees, Inform. Process. Lett. 110(23) (2010), pp. 1027–1030.
- W.-H. Yang and H.-Q. Lin, Reliability evaluation of BC networks in terms of the extra vertex- and edge-connectivity, IEEE Trans. Comput. 63(10) (2014), pp. 2540–2548.
- Y.-X. Yang and S.-Y. Wang, Conditional connectivity of star graph networks under embedding restriction, Inform. Sci. 199 (2012), pp. 187–192.
- H. Zhang, S.-M. Zhou, and E. Cheng, Restricted connectivity of Cayley graph generated by transposition trees, Discret. Appl. Math. 327 (2023), pp. 87–95.
- S.-L. Zhao, W.-H. Yang, S.-R. Zhang, and L.-Q. Xu, Component edge connectivity of hypercubes, Int. J. Found. Comput. Sci. 29(6) (2018), pp. 995–1001.