An Extended Star Graph: A Proposal of a New Network Topology and Its Fundamental Properties

In the past years, various network architectures for parallel computers have been proposed, for instance, hyper cubes or star graphs. These classes of networks are known as Cayley graphs. In recent years, there have been some proposals of new families of interconnection networks, namely, constant degree networks. In this paper, we propose a new interconnection network named extended star graphs, and we prove the extended star graphs have hypercube's structure. We also propose routing algorithms for node-to-node communication on extended star graphs. Based on the algorithms, we obtain an upper bound 2n - 1 on the diameter for the n-th order extended star graph.