The exchanged hypercube EH(s, t), proposed by Loh et al. [The exchanged hypercube, IEEE Trans. Parallel Distri. Syst. 16 (2005) 866-874], is obtained by systematically removing links from a binary hypercube Q(n). This paper determines that the connectivity and the edge connectivity of EH(s, t) are s + 1 where s <= t. That is, for s <= t, at least s + 1 vertices (resp. s + 1 edges) of EH(s, t) are removed to get a disconnected graph.
机构:
Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R ChinaXidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
Ning, Wantao
Li, Hao
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机构:
Univ Paris Saclay, Lab Interdisciplinaire Sci Numer, CNRS UMR9015, 1 Rue Raimond Castaing, F-91190 Gif Sur Yvette, FranceXidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
机构:
Univ Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
Univ Maribor, Fac Nat Sci & Math, Maribor, Slovenia
Inst Math Phys & Mech, Ljubljana, SloveniaUniv Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia
Klavzar, Sandi
Ma, Meijie
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Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R ChinaUniv Ljubljana, Fac Math & Phys, Ljubljana 61000, Slovenia