Title
Hamiltonian properties of honeycomb meshes
Abstract
Meshes are widely used topologies for Networks on Chip (NoC). Honeycomb meshes have better topological properties than Meshes. In order to communicate efficiently in a linear or cyclic manner, it is benefited that there is a Hamiltonian path or Hamiltonian cycle in NoC. In this paper, we give a necessary and sufficient condition for the existence of Hamiltonian path between any pair of vertices in a honeycomb mesh and for the existence of Hamiltonian path in a honeycomb mesh with one faulty vertex. Besides, we give a systematic method to construct a Hamiltonian path in Honeycomb meshes. © 2013 Elsevier Inc. All rights reserved.
Year
DOI
Venue
2013
10.1016/j.ins.2013.03.044
Information Sciences
Keywords
Field
DocType
Hamiltonian path,Honeycomb mesh,NoC
Topology,Discrete mathematics,Polygon mesh,Hamiltonian (quantum mechanics),Vertex (geometry),Hamiltonian path,Honeycomb,Network topology,Mathematics
Journal
Volume
ISSN
Citations 
240
00200255
3
PageRank 
References 
Authors
0.39
39
5
Name
Order
Citations
PageRank
Xu Dacheng130.39
Jianxi Fan271860.15
Xiaohua Jia34609303.30
Zhang Shukui4391.53
Xi Wang5856.56