Distributed Line Graphs: A Universal Technique for Designing DHTs Based on Arbitrary Regular Graphs

Most proposed DHTs engage certain topology maintenance mechanisms specific to the static graphs on which they are based. The designs of these mechanisms are complicated and repeated with graph-relevant concerns. In this paper, we propose the “distributed line graphs” (DLG), a universal technique for designing DHTs based on arbitrary regular graphs. Using DLG, the main features of the initial graphs are preserved, and thus people can design a new DHT by simply choosing the graph with desirable features and applying DLG to it. We demonstrate the power of DLG by illustrating four DLG-enabled DHTs based on different graphs, namely, Kautz, de Bruijn, butterfly, and hypertree graphs. The effectiveness of our proposals is demonstrated through analysis, simulation, and implementation.