One-to-One Embedding between Honeycomb Mesh and Petersen-Torus Networks
AbstractAs wireless mobile telecommunication bases organize their structure using a honeycomb-mesh algorithm, there are many studies about parallel processing algorithms like the honeycomb mesh in Wireless Sensor Networks. This paper aims to study the Peterson-Torus graph algorithm in regard to the continuity with honeycomb-mesh algorithm in order to apply the algorithm to sensor networks. Once a new interconnection network is designed, parallel algorithms are developed with huge research costs to use such networks. If the old network is embedded in a newly designed network, a developed algorithm in the old network is reusable in a newly designed network. Petersen-Torus has been designed recently, and the honeycomb mesh has already been designed as a well-known interconnection network. In this paper, we propose a one-to-one embedding algorithm for the honeycomb mesh (HMn) in the Petersen-Torus PT(n,n), and prove that dilation of the algorithm is 5, congestion is 2, and expansion is 5/3. The proposed one-to-one embedding is applied so that processor throughput can be minimized when the honeycomb mesh algorithm runs in the Petersen-Torus. View Full-Text
Share & Cite This Article
Seo, J.-H.; Sim, H.; Park, D.-H.; Park, J.-W.; Lee, Y.-S. One-to-One Embedding between Honeycomb Mesh and Petersen-Torus Networks. Sensors 2011, 11, 1959-1971.
Seo J-H, Sim H, Park D-H, Park J-W, Lee Y-S. One-to-One Embedding between Honeycomb Mesh and Petersen-Torus Networks. Sensors. 2011; 11(2):1959-1971.Chicago/Turabian Style
Seo, Jung-Hyun; Sim, Hyun; Park, Dae-Heon; Park, Jang-Woo; Lee, Yang-Sun. 2011. "One-to-One Embedding between Honeycomb Mesh and Petersen-Torus Networks." Sensors 11, no. 2: 1959-1971.