### Abstract

Given a graph G and non-negative integer h, the h-restricted connectivity of G is the minimum cardinality of a set of nodes in G, if exists, whose deletion disconnects G and the degree of each node in every remaining component is at least h. The h-restricted connectivity is a generalization of the classical connectivity and can provide more accurate measures for the reliability or fault-tolerance of multiprocessor system. The n-dimensional locally twisted cubes, denoted by LTQ_{n}, are a well-known network topology for building multiprocessor systems. In this paper, we first show that 2-restricted connectivity of the n-dimensional locally twisted cubes is 4n-8 for n≥4, and show that 3-restricted connectivity is equal to 8n-24 for n≥5.

Original language | English |
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Pages (from-to) | 78-90 |

Number of pages | 13 |

Journal | Theoretical Computer Science |

Volume | 615 |

DOIs | |

Publication status | Published - 2016 Feb 15 |

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### All Science Journal Classification (ASJC) codes

- Theoretical Computer Science
- Computer Science(all)

### Cite this

*Theoretical Computer Science*,

*615*, 78-90. https://doi.org/10.1016/j.tcs.2015.11.050