One-to-one embedding between honeycomb mesh and Petersen-Torus networks.
As 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.
Department of Computer Engineering, National University of Sunchon, Maegok 315, Sunchon, Jeonnam, Korea. jhseo@scnu.ac.kr
Jung-Hyun
JH
Seo
Hyun
H
Sim
Dae-Heon
DH
Park
Jang-Woo
JW
Park
Yang-Sun
YS
Lee
D000465:Algorithms; D003195:Computer Communication Networks