Title of article :
On Properties of Modified Degree Six Chordal Rings Network
Author/Authors :
Azura, Raja Noor Farah Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , Othman, Mohamed Universiti Putra Malaysia - Institute for Mathematical Research, Malaysia , Othman, Mohamed Universiti Putra Malaysia - Department of Communication Technology and Network, Malaysia , Hock, Peng Yee Universiti Putra Malaysia - Department of Mathematics, Malaysia , Selamat, Mohd. Hasan Universiti Putra Malaysia - Department of Information Systems, Malaysia
Abstract :
Chordal rings are circulant graphs and have deserved significant attention in the last decade. Chordal rings were used to build interconnection networks for distributed and parallel systems. There are many of publications analyzing their networks properties. In this paper, we present the main properties of the latest method of chordal rings called Modified Chordal Rings Degree Six (CHRm6). The properties are connectivity, Hamiltonian cycle and asymmetry. We prove some lemmas and theorems for every property. All of these properties are useful for further works especially in developing a routing scheme.
Keywords :
Chordal Rings , Circulant Graphs , Network Topology , Hamiltonian Cycle , Interconnection networks
Journal title :
Malaysian Journal of Mathematical Sciences
Journal title :
Malaysian Journal of Mathematical Sciences
