Web Reference: We consider the fundamental problems of approximately counting the numbers of edges and triangles in a graph in sublinear time. Previous algorithms for these tasks are significantly more efficient under a promise that the arboricity of the graph is bounded by some parameter α. Sep 25, 2025 · As in the case of triangle counting, an easy consequence of our testable algorithms is an instance-adaptive algorithm for approximating the number of edges (using a similar doubling trick). This project focuses on implementing and comparing various exact and approximate triangle counting algorithms. The aim is to provide a comprehensive analysis of their performance and efficiency in different scenarios.
YouTube Excerpt: Testable edge and triangle counting in sublinear-time and -space

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