AOT: Pushing the Efficiency Boundary of Main-Memory Triangle Listing.

Triangle listing is an important topic significant in many practical applications. Efficient algorithms exist for the task of triangle listing. Recent algorithms leverage an orientation framework, which can be thought of as mapping an undirected graph to a directed acylic graph, namely oriented graph, with respect to any global vertex order. In this paper, we propose an adaptive orientation technique that satisfies the orientation technique but refines it by traversing carefully based on the out-degree of the vertices in the oriented graph during the computation of triangles. Based on this adaptive orientation technique, we design a new algorithm, namely AOT, to enhance the edge-iterator listing paradigm. We also make improvements to the performance of AOT by exploiting the local order within the adjacent list of the vertices.