Edge-pancyclicity and Hamiltonian connectivity of twisted cubes
โ Scribed by Min Xu
- Publisher
- Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
- Year
- 2010
- Tongue
- English
- Weight
- 190 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1439-7617
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
As an enhancement on the hypercube Q n , the augmented cube AQ n , proposed by Choudum and Sunitha [S.A. Choudum, V. Sunitha, Augmented cubes, Networks, 40(2) (2002), 71-84], not only retains some of the favorable properties of Q n but also possesses some embedding properties that Q n does not. For
Let G be a 2-edge connected graph with a t least 5 vertices. For any given vertices a, b, c, and din G with a # b, there exists in G3 a hamiltonian path with endpoints a and b avoiding the edge cd, and there exists in G3 U {cd} a hamiltonian path with endpoints a and b and containing the edge cd. Al
In 2000, Li et al. introduced dual-cube networks, denoted by DC n for n P 1, using the hypercube family Q n and showed the vertex symmetry and some fault-tolerant hamiltonian properties of DC n . In this article, we introduce a new family of interconnection networks called dual-cube extensive networ