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Daily edition · Algorithms

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TILens turns technical updates into a focused daily brief: official releases, trusted reporting, and practitioner analysis, deduplicated and organized by topic.

23 Sep 2026 edition

65 articles · 3 sources · 65 papers ·

Top topics: Algorithms · AI

Algorithms

Remote Matching: Exact-Cardinality Approximation and Tight UGC Hardness

arXiv:2609.26671v1 Announce Type: new Abstract: In the unrestricted max--min metric $T$-join problem, one seeks an even terminal set $T$ maximizing the cost of a minimum $T$-join. Iwata and Ravi gave a factor-$3/2$…

Source: arXiv cs.DS Arash Ahadi, Morteza Alimi, Sharareh Alipour, Shayan Tayefeh
Algorithms

Exponential Quantum Advantage in Testing Fourier Dimensionality

arXiv:2609.25816v1 Announce Type: cross Abstract: A boolean function $f$ has Fourier dimension $k$ if its nonzero Fourier coefficients span a subspace of dimension $k$. We consider the property testing task of…

Source: arXiv cs.DS Kenny Chen
Algorithms

Factorisability of Low Dimensional Non-Negative Integer Matrices

arXiv:2609.26033v1 Announce Type: cross Abstract: We consider the problem of determining if a given two-dimensional nonnegative integer matrix $M$ is the product of two such matrices, excluding trivial units. A matrix…

Source: arXiv cs.DS Paul C. Bell, Eva Foster, Daniel Reidenbach, Pavel Semukhin
Algorithms

On the Offline Version of the Time-Optimal k-Server Problem

arXiv:2609.25180v1 Announce Type: new Abstract: We consider the offline problem of parallel relocation of k identical mobile resources. After each request, known in advance, the resources may move simultaneously, and…

Source: arXiv cs.DS Oleg Lomachenko
Algorithms

Structural Complexity of Matching-Match: Dense and Sparse Graphs

arXiv:2609.26006v1 Announce Type: new Abstract: The Matching-Match puzzle asks whether the vertices of a fixed graph can be colored so that the multiset of color pairs induced by its edges is exactly a prescribed…

Source: arXiv cs.DS Ilie Dumitru, Adrian Micl\u{a}u\c{s}, Alexandru Popa
Algorithms

Geometric Complexity Theory and Graph Isomorphism

arXiv:2606.26244v2 Announce Type: replace-cross Abstract: We investigate ideas from the Geometric Complexity Theory approach to separating complexity classes (Mulmuley & Sohoni, SIAM J. Comput., 2001) in the setting of…

Source: arXiv cs.DS Joshua A. Grochow, Jacob Urisman
Algorithms

Improved Algorithms for the Remote Point Problem

arXiv:2609.25765v1 Announce Type: cross Abstract: The Remote Point Problem (RPP) is an algorithmic problem that asks, given a linear subspace $L \subseteq \mathbb{F}^n$ of dimension $k$, to deterministically find a…

Source: arXiv cs.DS Ben Lee Volk
Algorithms

A $59/33$ Cut-LP Guarantee for Matching Augmentation

arXiv:2609.26531v1 Announce Type: new Abstract: The Matching Augmentation Problem (MAP) asks for a minimum-cardinality set of unit-cost edges that, together with a zero-cost matching, forms a 2-edge-connected spanning…

Source: arXiv cs.DS Morteza Alimi, Tobias M\"omke
Algorithms AI

Near-Optimal Online Metric Matching on $\Delta$-ary HST

arXiv:2609.25292v1 Announce Type: new Abstract: In the online metric matching problem, we have $n$ servers with known locations in some metric space. Requests arrive one-by-one at certain locations, and upon arrival a…

Source: arXiv cs.DS Parth Gor, Sourya Roy, Kasturi Varadarajan
Algorithms

Tight Fr\'echet bounds for $\lambda$-low density curves

arXiv:2604.24135v2 Announce Type: replace-cross Abstract: The Fr\'echet distance is a well-studied similarity measure between curves. We computing the Fr\'echet distance between $\lambda$-low-density curves, the most…

Source: arXiv cs.DS Jacobus Conradi, Ivor van der Hoog, Frederikke Uldahl, Eva Rotenberg
Algorithms

Sample-Based Prophet Inequalities for Random Walks

arXiv:2609.26017v1 Announce Type: cross Abstract: We study prophet inequalities for a random walk reward stopping problem with sample-based information. The goal is to stop as close as possible to the maximum of a…

Source: arXiv cs.DS Pieter Kleer, Johan van Leeuwaarden, Daan Noordenbos
Algorithms

Agentic Algorithm Engineering: Improving Shared-Memory Exact Minimum Cuts

arXiv:2609.07204v1 Announce Type: cross 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 the cut edges. Over…

Source: arXiv cs.DS David A. Bader, Adil Chhabra, Ernestine Gro{\ss}mann, Monika Henzinger, Alexander Noe, Christian Schulz
Algorithms

Polylogarithmic Collective Tree Exploration

arXiv:2609.26789v1 Announce Type: new Abstract: We study asynchronous collective tree exploration, where $k$ agents with unrestricted communication start at the root of an unknown tree and discover edges online. At each…

Source: arXiv cs.DS Romain Cosson, Laurent Massouli\'e

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