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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.

28 Oct 2026 edition

45 articles · 3 sources · 45 papers ·

Top topics: Algorithms · AI

Algorithms AI

Exact Algorithms and Complexity of the Smallest Grammar Problem

arXiv:2610.32298v2 Announce Type: replace Abstract: The Smallest Grammar Problem (SGP) asks for a smallest straight-line grammar generating a given string, with size measured by the total right-hand-side length. For an…

Source: arXiv cs.DS Xiangle Chen
Algorithms

A Linear Kernel for Planar Semitotal Domination

arXiv:2610.37295v1 Announce Type: new Abstract: A set of vertices $S$ in a graph $G$ is a semitotal dominating set if $S$ is a dominating set and every vertex in $S$ has a witness, that is, another vertex in $S$ within…

Source: arXiv cs.DS Paloma T. de Lima, Lukas Retschmeier
Algorithms

Approximate Envy-Freeness and Pareto Optimality Beyond Additivity

arXiv:2607.18220v2 Announce Type: replace-cross Abstract: We study the compatibility of envy-freeness up to one good (EF1) and Pareto optimality (PO) beyond additive valuations. For two agents with monotone submodular…

Source: arXiv cs.DS Harish Chandramouleeswaran, Prajakta Nimbhorkar
Algorithms

Improved Lower Bounds on Tree Covers

arXiv:2607.27264v2 Announce Type: replace-cross Abstract: A tree cover of an $n$-point metric space is a collection of $k$ trees such that every pairwise distance is approximately preserved in at least one tree. For…

Source: arXiv cs.DS Yu Chen, Shengtang Huang, Zihan Tan, Hangyu Xu
Algorithms

A Tight Space Lower Bound for Pivot-Based Distance Oracles

arXiv:2610.29624v2 Announce Type: replace Abstract: An approximate distance oracle (ADO) is a compact data structure that answers distance queries within a multiplicative \emph{stretch} $k$. The classical oracle of…

Source: arXiv cs.DS Avi Kadria, Liam Roditty
Algorithms

Power of Conditional Sampling on Hypergraphs

arXiv:2610.23364v2 Announce Type: replace Abstract: Let $G=(V,E)$ be a $d$-uniform hypergraph with $|V|=n$ and $|E|=m$. Estimating $m$ from uniformly random hyperedge samples requires $\Theta(\sqrt{m})$ samples by a…

Source: arXiv cs.DS Debarshi Chanda, Buddha Dev Das, Arijit Ghosh, Gopinath Mishra
Algorithms

Online Service with Per-Batch Maximum Delays

arXiv:2608.18577v3 Announce Type: replace Abstract: We study online service with per-batch maximum delays on a finite metric space. Requests arrive over time, and a server serves each batch by following a walk visiting…

Source: arXiv cs.DS Tianhang Lu, Runtian Ren, Shengcai Liu, Ke Tang
Algorithms

Polynomial-Time Solvability of the Mixed Evacuation Problem

arXiv:2610.37065v1 Announce Type: new Abstract: The mixed evacuation problem is a variant of the dynamic transshipment problem where there exist two modes of transportation and we allocate supplies to each mode of…

Source: arXiv cs.DS Naoyuki Kamiyama
Algorithms

A Faster Auction Algorithm for Weighted Matroid Intersection

arXiv:2610.00920v3 Announce Type: replace Abstract: We consider the weighted matroid intersection problem in the independence-oracle model. A sequence of works by Huang--Kakimura--Kamiyama~[SODA'16 \& Math. Program'19],…

Source: arXiv cs.DS Tatsuya Terao
Algorithms

Uniformity Testing for the Monomer-Dimer Model

arXiv:2610.36630v1 Announce Type: new Abstract: We study uniformity testing for the monomer-dimer model on a known graph $G=(V,E)$. Given samples from an unknown distribution $D_w(M)\propto \prod_{e\in M} w_e$ over…

Source: arXiv cs.DS Joy Qiping Yang, Yuichi Yoshida

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