A NEW ISOMORPHIC DEFINITION OF THE CROSSED CUBE AND ITS SPANNING CONNECTIVITY

被引:0
作者
Lin, Cheng-Kuan [1 ]
Chang, Chien-Ping [2 ]
Ho, Tung-Yang [3 ]
Tan, Jimmy J. M. [4 ]
Hsu, Lih-Hsing [5 ]
机构
[1] Natl Chiao Tung Univ, Dept Comp Sci, Hsinchu 30010, Taiwan
[2] Ching Yun Univ, Dept Comp Sci & Informat Engn, Jhongli 320, Taiwan
[3] Ta Hwa Inst Technol, Dept Ind Engn & Management, Hsinchu 307, Taiwan
[4] Natl Chiao Tung Univ, Dept Comp Sci, Hsinchu 30010, Taiwan
[5] Providence Univ, Dept Comp Sci & Informat Engn, Taichung 43301, Taiwan
关键词
hamiltonian; hamiltonian connected; spanning connected; menger theorem; crossed cubes;
D O I
10.1142/S0219265909002480
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
In this paper, we propose a slightly different definition of the crossed cube. The interconnection network obtained form our new definition is exactly isomorphic to the one obtained from the original definition proposed by Efc. It is known that the crossed cube is not node symmetric. However, using our new definition, it reveals some relative symmetric properties of the crossed cube. We can take advantage of the symmetry to study the spanning connectivity of the crossed cube.
引用
收藏
页码:149 / 166
页数:18
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