## 摘要

A subset of vertices X is said to be a cutset if G-X is not connected. A cutset X is called an ^{Rg}-cutset if every component of G-X has at least g+1 vertices. If G has at least one ^{Rg}-cutset, the g-extraconnectivity of G is then defined as the minimum cardinality over all ^{Rg}-cutsets of G. In this paper, we first show that the 2-extraconnectivity of an n-dimensional hypercube-like network is 3n-5 for n≥5. This improves on the previously best known result, which showed that the 2-extraconnectivity of an n-dimensional hypercube-like network is 3n-5 for n≥8. We further demonstrate that the 3-extraconnectivity of an n-dimensional hypercube-like network is 4n-9 for n≥6. Based on the above results, the 2-extraconnectivity and 3-extraconnectivity of several interconnection networks, including hypercubes, twisted cubes, crossed cubes, Möbius cubes, locally twisted cubes, generalized twisted cubes, recursive circulants, and Mcubes, can be determined efficiently.

原文 | English |
---|---|

頁（從 - 到） | 669-688 |

頁數 | 20 |

期刊 | Journal of Computer and System Sciences |

卷 | 79 |

發行號 | 5 |

DOIs | |

出版狀態 | Published - 2013 八月 1 |

## All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Networks and Communications
- Computational Theory and Mathematics
- Applied Mathematics