1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97)
A new shortest path routing algorithm and embedding cycles of crossed cube
Taipei, Taiwan
December 18-December 20
ISBN: 0-8186-8259-0
Chien-Ping Chang, Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Ting-Yi Sung, Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu, Taiwan
Lih-Hsing Hsu, Dept. of Comput. & Inf. Sci., Nat. Chiao Tung Univ., Hsinchu, Taiwan
An n-dimensional crossed cube, CQ/sub n/, is a variation of hypercubes. In this paper, we give a new shortest path routing algorithm based on a new distance measure defined herein. In comparison with Efe's algorithm which generates one shortest path in O(n/sup 2/) time, our algorithm can generate more shortest paths in O(n) time. Furthermore, we show that CQ/sub n/ is a pancyclic network and we construct various types of cycles of an arbitrary length at least four.
Index Terms:
hypercube networks; shortest path routing; crossed cube; embedding cycles; hypercubes; CQ/sub n/; n-dimensional crossed cube; pancyclic network
Citation:
Chien-Ping Chang, Ting-Yi Sung, Lih-Hsing Hsu, "A new shortest path routing algorithm and embedding cycles of crossed cube," ispan, pp.125, 1997 International Symposium on Parallel Architectures, Algorithms and Networks (ISPAN '97), 1997