AI Networking Cookbook: Practical recipes for AI-assisted network automation and development
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The first polynomial improvements over the textbook algorithms for 3-SUM and All-Pairs Shortest Paths are given, and the Exact Triangle hypothesis is refuted, and the All-Edges Sparse Triangle problem is solved in truly subquadratic time on sparse lopsided tripartite graphs.
The current best bounds on the matrix multiplication exponent $\omega$ are obtained through a refinement of the laser method called combination loss analysis (Duan et al., 2022; Williams et al., 2024; Alman et al., 2025). In this note, we address the optimization problem at the core of this approach and propose several...
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