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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.

15 Oct 2026 edition

64 articles · 3 sources · 64 papers ·

Top topics: Algorithms · AI

Algorithms

Undirected Network Coding and Faster External-Memory Integer Sorting

arXiv:2610.20079v1 Announce Type: new Abstract: Network coding allows intermediate nodes to combine messages, whereas routing only forwards them. The Li-Li conjecture asserts that network coding and fractional routing…

Source: arXiv cs.DS Baochun Li, Zongpeng Li, Sirui Liu
Algorithms

Sparse universal graphs for planarity

arXiv:2010.05779v5 Announce Type: replace-cross Abstract: We show that for every integer $n\geq 1$ there exists a graph $G_n$ with $(1+o(1))n$ vertices and $n^{1 + o(1)}$ edges such that every $n$-vertex planar graph is…

Source: arXiv cs.DS Louis Esperet, Gwena\"el Joret, Pat Morin
Algorithms

Dynamic 3-Coloring of Bipartite Graphs with Optimal Locality

arXiv:2610.19710v1 Announce Type: new Abstract: We give a dynamic graph algorithm which maintains a 3-coloring in bipartite graphs under edge insertions such that the coloring only changes within a radius of $O(\log n)$…

Source: arXiv cs.DS Yann Bourreau, Filippo Casagrande, Tim G\"ottlicher, Ananth Narayanan Karunattillam
Algorithms

Dijkstra Is NOT Greedy: A Global-to-Local Proof of Correctness

arXiv:2610.10596v2 Announce Type: replace Abstract: Dijkstra's algorithm is traditionally classified as a greedy algorithm. We argue that this classification misrepresents the mechanism by which the algorithm determines…

Source: arXiv cs.DS Shengbao Wang
Algorithms

Exact Cut Complexity of Equal-Length Proportional Cake Cutting

arXiv:2610.19733v1 Announce Type: cross Abstract: We study proportional cake cutting under an equal-length constraint, where each of $n$ agents must receive a bundle of length exactly $1/n$ that is worth at least $1/n$…

Source: arXiv cs.DS Yasushi Kawase, Bodhayan Roy, Mohammad Azharuddin Sanpui
Algorithms AI

Online Tokenization with Optimal Delay in Linear Time

arXiv:2610.19139v1 Announce Type: new Abstract: Tokenization is an essential preprocessing step in almost all large language models (LLMs). One of the most popular frameworks is BPE tokenization, which consists of…

Source: arXiv cs.DS Mina Dalirrooyfard, Christopher Ye
Algorithms

Finding non-bisimplicial and triad-free minimal separators

arXiv:2610.19093v1 Announce Type: cross Abstract: A $u\hbox{-}v$ separator in $G$ is a set $S\subseteq V(G)\setminus\{u,v\}$ such that there is no $u\hbox{-}v$ path in $G\setminus S$. A minimal separator in $G$ is a set…

Source: arXiv cs.DS Maria Chudnovsky, Ilya Maier
Algorithms

Fair Allocation with Dichotomous Preferences over Item Complements

arXiv:2610.15801v2 Announce Type: replace-cross Abstract: We study the problem of fair allocation when agents have dichotomous submodular preferences over groups of, rather than individual, items. These preferences…

Source: arXiv cs.DS Soumyajit Pyne, Vignesh Viswanathan, Wenhao Yang, Yair Zick
Algorithms AI

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

arXiv:2609.25292v2 Announce Type: replace 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…

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

Improved lower bounds of the time complexity of shellsort

arXiv:2607.08997v3 Announce Type: replace Abstract: In this paper we develop the framework of using a parametrized mapping $[\sigma(1), \sigma(2), \cdots, \sigma(n)] \mapsto \sigma(1)z + \sigma(2)z^2 + \cdots…

Source: arXiv cs.DS Zhenghan Zang
Algorithms

Fast Forgiving Base64 Decoding with SIMD Instructions

arXiv:2610.17406v2 Announce Type: replace Abstract: On the Internet, we use the Base64 format to represent binary data (e.g., images or cryptographic keys) as text. The ES2026 JavaScript standard, following the WHATWG…

Source: arXiv cs.DS Daniel Lemire
Algorithms

With Leverage, the Gambler is Not the One Who Gets Ruined

arXiv:2610.19239v1 Announce Type: new Abstract: In this note we explore the following simple question: How does the classic \emph{gambler's ruin} phenomenon change if we allow the gambler \emph{financial leverage}? We…

Source: arXiv cs.DS William Kuszmaul
Algorithms

Hypothesis Selection via Weighted Medians

arXiv:2610.20375v1 Announce Type: new Abstract: Given $n$ distributions (hypotheses) $\mathcal H=\{H_1,\ldots,H_n\}$ and samples from an unknown target distribution $P$, proper hypothesis selection seeks a distribution…

Source: arXiv cs.DS Liang-Yu Zou
Algorithms

Claw-Free and Line Graph Edge Deletion on Block Graphs

arXiv:2610.20510v1 Announce Type: new Abstract: Edge deletion problems ask for the fewest edges whose deletion gives a graph with a specified property. We study two such problems on block graphs. First making the graph…

Source: arXiv cs.DS Rajat Adak
Algorithms

A proximal gradient algorithm for composite log-concave sampling

arXiv:2605.12461v2 Announce Type: replace-cross Abstract: We propose an algorithm to sample from composite log-concave distributions over $\mathbb{R}^d$, i.e., densities of the form $\pi\propto e^{-f-g}$, assuming…

Source: arXiv cs.DS Linghai Liu, Sinho Chewi
Algorithms

FPTAS for Polygonal Multi-Robot Motion Planning

arXiv:2610.20244v1 Announce Type: cross Abstract: We study multi-robot motion planning in a polygonal environment with polygonal robots. The setting of the problem consists of a polygonal domain $\mathcal{W}$ with $n$…

Source: arXiv cs.DS Sayan Bandyapadhyay, William Lochet, Saket Saurabh, Jie Xue

Showing 1 day · 64 items available