Generalized matching networks and their properties

Yang, X., Megson, G.M., Liao, X. and Cao, J. (2007) Generalized matching networks and their properties. International Journal of Parallel, Emergent and Distributed Systems, 22 (3). pp. 185-192. ISSN 1744-5779 doi: 10.1080/17445760601139039

Abstract/Summary

In this paper, we introduce two kinds of graphs: the generalized matching networks (GMNs) and the recursive generalized matching networks (RGMNs). The former generalize the hypercube-like networks (HLNs), while the latter include the generalized cubes and the star graphs. We prove that a GMN on a family of k-connected building graphs is -connected. We then prove that a GMN on a family of Hamiltonian-connected building graphs having at least three vertices each is Hamiltonian-connected. Our conclusions generalize some previously known results.