Fault Tolerant Pancyclicity of Crossed Cube

• Main Authors: Gene Chang, 張晉
• Other Authors: Jimmy J.M. Tan
• Format: Others
• Language: en_US
• Published: 2003
• Online Access: http://ndltd.ncl.edu.tw/handle/80012588885356771705

碩士 === 國立交通大學 === 資訊科學系 === 91 === In the network architecture, hypercube Qn is a popular one. Hypercube has many good properties including regularity, symmetry, hamiltonicity, etc. However, there are several variations of the hypercube which have some properties superior to the classical hypercubes. In 1992, Efe [11] proposed a new structure, Crossed Cube. The Crossed Cube CQn is one of the hypercube variant. It is shown in literature that CQn has several properties better than those of the hypercube. For example, the diameter of CQn is approximately one half of that of the hypercube Qn. An important characteristics of networks is the fault tolerant property and cycle embedding cabability. In the thesis, we study the Crossed Cube and we show that CQn is pancyclic, i.e. we can embed cycles of all lengths from 4 to |V(CQn)| into the crossed cube. Moreover, we prove that CQn is still pancyclic with up to n-2 edge/vertex faults.