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Motivated by studies of data retrieval in polymer-based storage systems, we consider the problem of reconstructing a multiset of binary strings that have the same length and the same weight from the compositions of their prefixes and…

Discrete Mathematics · Computer Science 2024-11-07 Yaoyu Yang , Zitan Chen

We provide a linear time algorithm to determine the flip distance between two plane spanning paths on a point set in convex position. At the same time, we show that the happy edge property does not hold in this setting. This has to be seen…

Computational Geometry · Computer Science 2026-02-11 Oswin Aichholzer , Joseph Dorfer

We introduce OpSets, an executable framework for specifying and reasoning about the semantics of replicated datatypes that provide eventual consistency in a distributed system, and for mechanically verifying algorithms that implement these…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-15 Martin Kleppmann , Victor B. F. Gomes , Dominic P. Mulligan , Alastair R. Beresford

We present an algorithm for building probabilistic rule lists that is two orders of magnitude faster than previous work. Rule list algorithms are competitors for decision tree algorithms. They are associative classifiers, in that they are…

Artificial Intelligence · Computer Science 2017-04-04 Hongyu Yang , Cynthia Rudin , Margo Seltzer

We consider the problem of finding repetitive structures and inherent patterns in a given string $\s{s}$ of length $n$ over a finite totally ordered alphabet. A border $\s{u}$ of a string $\s{s}$ is both a prefix and a suffix of $\s{s}$…

Data Structures and Algorithms · Computer Science 2015-06-24 Ali Alatabbi , Jacqueline W. Daykin , M. Sohel Rahman

In this paper, we review existing points-to Separation Logics for dynamic memory reasoning and we find that different usages of heap separation tend to be an obstacle. Hence, two total and strict spatial heap operations are proposed upon…

Logic in Computer Science · Computer Science 2019-05-31 René Haberland , Kirill Krinkin

The smooth heap is a recently introduced self-adjusting heap [Kozma, Saranurak, 2018] similar to the pairing heap [Fredman, Sedgewick, Sleator, Tarjan, 1986]. The smooth heap was obtained as a heap-counterpart of Greedy BST, a binary search…

Data Structures and Algorithms · Computer Science 2021-07-13 Maria Hartmann , László Kozma , Corwin Sinnamon , Robert E. Tarjan

The wavelet tree (Grossi et al. [SODA, 2003]) and wavelet matrix (Claude et al. [Inf. Syst., 47:15--32, 2015]) are compact indices for texts over an alphabet $[0,\sigma)$ that support rank, select and access queries in $O(\lg \sigma)$ time.…

Data Structures and Algorithms · Computer Science 2017-11-13 Johannes Fischer , Florian Kurpicz , Marvin Löbel

An algorithmic computation of the set of unpointed stable homotopy classes of equivariant fibrewise maps was described in a recent paper of the author and his collaborators. In the present paper, we describe a simplification of this…

Algebraic Topology · Mathematics 2013-12-10 Lukáš Vokřínek

Matching is a method of the design of experiments. If we had an even number of patients and wanted to form pairs of patients such that their ages, for example, in each pair be as close as possible, we would use nonbipartite matching. Not…

Combinatorics · Mathematics 2018-05-02 Josef Bukac

The suffix tree is a data structure for indexing strings. It is used in a variety of applications such as bioinformatics, time series analysis, clustering, text editing and data compression. However, when the string and the resulting suffix…

Databases · Computer Science 2011-10-03 Essam Mansour , Amin Allam , Spiros Skiadopoulos , Panos Kalnis

Stemming is the process of reducing related words to a standard form by removing affixes from them. Existing algorithms vary with respect to their complexity, configurability, handling of unknown words, and ability to avoid under- and…

Computation and Language · Computer Science 2024-06-04 Kirk Baker

We present an improved orderly algorithm for constructing all unlabelled lattices up to a given size, that is, an algorithm that constructs the minimal element of each isomorphism class relative to some total order. Our algorithm employs a…

Combinatorics · Mathematics 2019-12-23 Volker Gebhardt , Stephen Tawn

We develop a new algorithm to compute determinants of all possible Hankel matrices made up from a given finite length sequence over a finite field. Our algorithm fits within the dynamic programming paradigm by exploiting new recursive…

Cryptography and Security · Computer Science 2022-01-04 Claude Gravel , Daniel Panario , Bastien Rigault

We present a constituency parsing algorithm that, like a supertagger, works by assigning labels to each word in a sentence. In order to maximally leverage current neural architectures, the model scores each word's tags in parallel, with…

Computation and Language · Computer Science 2020-06-30 Nikita Kitaev , Dan Klein

Querying the shortest path between two vertexes is a fundamental operation in a variety of applications, which has been extensively studied over static road networks. However, in reality, the travel costs of road segments evolve over time,…

Databases · Computer Science 2023-03-08 Zengyang Gong , Yuxiang Zeng , Lei Chen

This paper is motivated by the vision of more efficient packet classification mechanisms that self-optimize in a demand-aware manner. At the heart of our approach lies a self-adjusting linear list data structure, where unlike in the classic…

Data Structures and Algorithms · Computer Science 2021-10-01 Maciej Pacut , Juan Vanerio , Vamsi Addanki , Arash Pourdamghani , Gabor Retvari , Stefan Schmid

Suffix trees have recently become very successful data structures in handling large data sequences such as DNA or Protein sequences. Consequently parallel architectures have become ubiquitous. We present a novel alphabet-dependent parallel…

Data Structures and Algorithms · Computer Science 2017-04-20 Freeson Kaniwa , Venu Madhav Kuthadi , Otlhapile Dinakenyane , Heiko Schroeder

Let $\Sigma$ and $\Pi$ be disjoint alphabets of respective size $\sigma$ and $\pi$. Two strings over $\Sigma \cup \Pi$ of equal length are said to parameterized match (p-match) if there is a bijection $f:\Sigma \cup \Pi \rightarrow \Sigma…

Data Structures and Algorithms · Computer Science 2019-03-18 Noriki Fujisato , Yuto Nakashima , Shunsuke Inenaga , Hideo Bannai , Masayuki Takeda

We present parallel algorithms for exact and approximate pattern matching with suffix arrays, using a CREW-PRAM with $p$ processors. Given a static text of length $n$, we first show how to compute the suffix array interval of a given…

Data Structures and Algorithms · Computer Science 2016-06-09 Johannes Fischer , Dominik Köppl , Florian Kurpicz