Volume 10, Number 14, November 2020

Inverse Space Filling Curve Partitioning Applied to Wide Area Graphs

  Authors

Cyprien Gottstein¹, Philippe Raipin Parvedy¹, Michel Hurfin², Thomas Hassan¹ and Thierry Coupaye¹, ¹TGI-OLS-DIESE-LCP-DDSD, Orange Labs, France, ²Univ Rennes, France

  Abstract

The most recent developments in graph partitioning research often consider scale-free graphs. Instead we focus on partitioning geometric graphs using a less usual strategy: Inverse Spacefilling Partitioning (ISP). ISP relies on a space filling curve to partition a graph and was previously applied to graphs essentially generated from Meshes. We extend ISP to apply it to a new context where the targets are now Wide Area Graphs. We provide an extended comparison with two state-of-the-art graph partitioning streaming strategies, namely LDG and FENNEL. We also propose customized metrics to better understand and identify the use cases for which the ISP partitioning solution is best suited. Experimentations show that in favourable contexts, edge-cuts can be drastically reduced, going from more 34% using FENNEL to less than 1% using ISP.

  Keywords

Graph, Partitioning, Graph partitioning, Geometric partitioning, Spatial, Geography, Geometric, Space Filling Curve, SFC, ISP.