JUCS - Journal of Universal Computer Science 11(6): 944-961, doi: 10.3217/jucs-011-06-0944
On Complexity of Collective Communications on a Fat Cube Topology
expand article infoVladimir Kutálek, Václav Dvořák
‡ Brno University of Technology, Czech Republic
Open Access
A recent renewed interest in hypercube interconnection network has been concentrated to the more scalable version known as a fat cube. The paper introduces several router models for fat nodes and uses them for cost comparison of both the hypercube and fat cube topologies. Analysis of time complexity of collective communications is done next and lower bounds on the number of communication steps are derived. Examples of particular communication algorithms on the 2D-fat cube topology with 8 processors are summarized and described in detail. The performed study shows that a large variety of fat cubes can provide much desired flexibility, trading cost for performance and manufacturability.
interconnection networks, fat cube topology, router architecture, collective communications