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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.

24 Sep 2026 edition

56 articles · 3 sources · 56 papers ·

Top topics: Algorithms · AI

Algorithms

A 27 x 27 x 27 counterexample to Comon's conjecture

arXiv:2609.28292v1 Announce Type: cross Abstract: We report an explicit construction of a 27 x 27 x 27 symmetric tensor with rational entries that has tensor rank 55 over the rational numbers and symmetric tensor rank…

Source: arXiv cs.DS Benjamin Lovitz
Algorithms

Minimum Sum Vertex Cover via Minimum Vertex Cover

arXiv:2609.27117v1 Announce Type: new Abstract: The Minimum Sum Vertex Cover (MSVC) problem asks for an ordering of the vertices of a graph that minimizes the sum, over all edges, of the time at which each edge is first…

Source: arXiv cs.DS Ahmad Biniaz, Jean-Lou De Carufel, Anil Maheshwari, Saeed Odak, Michiel Smid
Algorithms

Vertex-Coloring Edge-Weighting: Kernelization and Generalization

arXiv:2609.27719v1 Announce Type: new Abstract: An edge weighting of a graph induces a coloring of its vertices in which the color of a vertex is the total weight of the edges incident with it. Such an edge weighting is…

Source: arXiv cs.DS Shubhada Aute, Fahad Panolan, Geevarghese Philip
Algorithms

Learning to Approximate Uniform Facility Location via Graph Neural Networks

arXiv:2602.13155v3 Announce Type: replace-cross Abstract: Neural networks, particularly message-passing neural networks (MPNNs), are increasingly used as heuristics for hard combinatorial optimization problems. Yet many…

Source: arXiv cs.DS Chendi Qian, Christopher Morris, Stefanie Jegelka, Christian Sohler
Algorithms

Fast Geometric Spanners via Approximate Nearest Neighbor Search

arXiv:2609.26934v1 Announce Type: new Abstract: We study the problem of constructing metric spanners in general metric spaces in subquadratic time when given blackbox access to a fast algorithm for batch approximate…

Source: arXiv cs.DS Alexandr Andoni, Manuel Paez, Krish Singal, Tian Zhang
Algorithms

Sampling Line-Graph Colorings with Constant Extra Colors

arXiv:2609.27440v1 Announce Type: new Abstract: Let $G$ be the line graph of a finite simple graph, with $n\geq1$ vertices and maximum degree $\Delta$. We prove that single-site Glauber dynamics for uniform proper…

Source: arXiv cs.DS Alireza Haqi
Algorithms

An FPT algorithm for cycle rank on semi-complete digraphs

arXiv:2606.29336v2 Announce Type: replace Abstract: Cycle rank is a depth parameter for digraphs introduced by Eggan in 1963. Gruber (DMTCS 2012) and Giannopoulou, Hunter, and Thilikos (DAM 2012) asked whether the…

Source: arXiv cs.DS Seokbeom Kim, O-joung Kwon, Myounghwan Lee
Algorithms

Asymptotic Rank Speedup Theorems, Revisited

arXiv:2605.21738v2 Announce Type: replace-cross Abstract: Motivated by fast matrix multiplication and recent connections between asymptotic tensor rank and fine-grained complexity, we revisit classical tools from the…

Source: arXiv cs.DS Josh Alman, Baitian Li
Algorithms

A Tight Cycle-Cover Inequality for Shortest Common Superstring

arXiv:2609.27921v1 Announce Type: new Abstract: In the Shortest Common Superstring problem (SCS), one is given a finite set of strings and is asked to find a shortest string containing every input string as a substring.…

Source: arXiv cs.DS Nikolai Chukhin, Alexander S. Kulikov, Ivan Mihajlin, Alexander Smal
Algorithms

Hutch#: Optimal non-adaptive Frobenius norm estimation

arXiv:2609.28472v1 Announce Type: cross Abstract: The Girard--Hutchinson estimator provides an extremely simple randomized estimate of the Frobenius norm of a matrix $A$ that can only be accessed implicitly via…

Source: arXiv cs.DS Tyler Chen, Diana Halikias, Christopher Musco, David Persson
Algorithms

High-Dimensional Ultra-Log-Concave Distributions

arXiv:2609.23994v1 Announce Type: cross Abstract: Ultra-log-concave distributions are ubiquitous in probability, combinatorics, and statistical mechanics and have been studied extensively. In this paper, we introduce a…

Source: arXiv cs.DS Zongchen Chen, Sihan Wang

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