arXiv:2609.07204v1 Announce Type: new
Abstract: The minimum cut problem for an undirected edge-weighted graph asks us to divide its set of nodes into two blocks while minimizing the weighted sum of t...
By David A. Bader, Adil Chhabra, Ernestine Gro{\ss}mann, Monika Henzinger, Alexander Noe, Christian Schulz
arXiv:2609.01441v1 Announce Type: new
Abstract: Graph neural networks (GNN) based on message passing are provably no more powerful than the one-dimensional Weisfeiler--Leman colour-refinement test (1...
By Lilian Marey, Charlotte Laclau
The paper introduces linear‑time randomized algorithms for unbiased approximation of general random walk kernels (RWKs) on sparse graphs, covering both labelled and unlabelled cases. By sampling dependent random walks and constructing novel graph embeddings in ρ^d, the method avoids building the direct product graph, enabling scaling to massive datasets that cannot fit on a single machine. The authors provide exponential concentration bounds for the estimator’s sharpness and demonstrate up to 27× speed‑ups and 128× larger graph handling compared to previous cubic‑time approaches.
By Krzysztof Choromanski, Isaac Reid, Arijit Sehanobish, Avinava Dubey
arXiv:2510.23039v2 Announce Type: replace
Abstract: Approximate Nearest Neighbor (ANN) search and Approximate Kernel Density Estimation (A-KDE) are fundamental problems at the core of modern machine...
By Ved Danait, Srijan Das, Sujoy Bhore
The paper presents a method for reliably scheduling operator execution in real‑time inference on small devices, achieving exact peak‑memory predictions and certified optimality. By profiling the generated program and modeling its memory usage, the authors can permute statements to match the modeled peak, guaranteeing bitwise‑identical results on CPUs and characterizing GPU limitations. They also provide efficient lower‑bound traps and analyze selective recomputation, showing it is NP‑hard in general but can reduce peak memory on certain architectures.
By Ivan Fomin, Ivan Koryabkin, Boris Sheludko
arXiv:2608. 14999v1 Announce Type: cross Abstract: Constructing special graphs is an important task within graph theory and computer science.
By Zohair Raza Hassan, Deepak Pandita