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We introduce twisted permutation codes, which are frequency permutation arrays analogous to repetition permutation codes, namely, codes obtained from the repetition construction applied to a permutation code. In particular, we show that a…

Combinatorics · Mathematics 2014-02-24 Neil I. Gillespie , Cheryl E. Praeger , Pablo Spiga

A permutation p is realized by the shift on N symbols if there is an infinite word on an N-letter alphabet whose successive left shifts by one position are lexicographically in the same relative order as p. The set of realized permutations…

Combinatorics · Mathematics 2009-09-15 Sergi Elizalde

A wide range of applications, most notably in comparative genomics, involve the computation of a shortest sorting sequence of operations for a given permutation, where the set of allowed operations is fixed beforehand. Such sequences are…

Data Structures and Algorithms · Computer Science 2017-03-27 Carlo Comin , Anthony Labarre , Romeo Rizzi , Stéphane Vialette

We study the following one-way asymmetric transmission problem, also a variant of model-based compressed sensing: a resource-limited encoder has to report a small set $S$ from a universe of $N$ items to a more powerful decoder (server). The…

Data Structures and Algorithms · Computer Science 2018-07-30 Alexandr Andoni , Javad Ghaderi , Daniel Hsu , Dan Rubenstein , Omri Weinstein

We introduce a new sorting device for permutations which makes use of a pop stack augmented with a bypass operation. This results in a sorting machine, which is more powerful than the usual Popstacksort algorithm and seems to have never…

Discrete Mathematics · Computer Science 2025-03-12 Lapo Cioni , Luca Ferrari , Rebecca Smith

The special purpose sorting operation, context directed swap (CDS), is an example of the block interchange sorting operation studied in prior work on permutation sorting. CDS has been postulated to model certain molecular sorting events…

Combinatorics · Mathematics 2018-11-30 Marisa Gaetz , Bethany Flanagan , Marion Scheepers , Meghan Shanks

We consider the problem of determining the maximum number of moves required to sort a permutation of $[n]$ using cut-and-paste operations, in which a segment is cut out and then pasted into the remaining string, possibly reversed. We give…

Combinatorics · Mathematics 2011-10-12 Daniel Cranston , I. Hal Sudborough , Douglas B. West

A superpermutation is a sequence that contains every permutation of $n$ distinct symbols as a contiguous substring. For instance, a valid example for three symbols is a sequence that contains all six permutations. This paper introduces a…

Discrete Mathematics · Computer Science 2025-05-19 Dhruv Ajmera

A consistency/latency tradeoff arises as soon as a distributed storage system replicates data. For low latency, modern storage systems often settle for weak consistency conditions, which provide little, or even worse, no guarantee for data…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-07-16 Hengfeng Wei , Yu Huang , Jiannong Cao , Jian Lu

In this work, we obtain performance guarantees for modified-CS and for its improved version, modified-CS-Add-LS-Del, for recursive reconstruction of a time sequence of sparse signals from a reduced set of noisy measurements available at…

Information Theory · Computer Science 2015-01-09 Jinchun Zhan , Namrata Vaswani

In Packet Scheduling with Adversarial Jamming packets of arbitrary sizes arrive over time to be transmitted over a channel in which instantaneous jamming errors occur at times chosen by the adversary and not known to the algorithm. The…

Data Structures and Algorithms · Computer Science 2018-08-07 Martin Böhm , Łukasz Jeż , Jiří Sgall , Pavel Veselý

BM compression is a straightforward and operable way to reduce buffer message length as well as to improve system performance. In this paper, we thoroughly discuss the principles and protocol progress of different compression schemes, and…

Multimedia · Computer Science 2011-09-02 Chunxi Li , Changjia Chen , DahMing Chiu

Perfect sorting by reversals, a problem originating in computational genomics, is the process of sorting a signed permutation to either the identity or to the reversed identity permutation, by a sequence of reversals that do not break any…

Discrete Mathematics · Computer Science 2012-01-05 Mathilde Bouvel , Cedric Chauve , Marni Mishna , Dominique Rossin

We study sorting of permutations by random swaps if each comparison gives the wrong result with some fixed probability $p<1/2$. We use this process as prototype for the behaviour of randomized, comparison-based optimization heuristics in…

Neural and Evolutionary Computing · Computer Science 2018-03-14 Tomáš Gavenčiak , Barbara Geissmann , Johannes Lengler

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

We prove a lower and an upper bound on the number of block moves necessary to sort a permutation. We put our results in contrast with existing results on sorting by block transpositions, and raise some open questions.

Combinatorics · Mathematics 2008-06-18 Miklos Bona , Ryan Flynn

Motivated by recent concerns that queuing delays in the Internet are on the rise, we conduct a performance evaluation of Compound TCP (C-TCP) in two topologies: a single bottleneck and a multi-bottleneck topology, under different traffic…

Networking and Internet Architecture · Computer Science 2018-12-27 Debayani Ghosh , Krishna Jagannathan , Gaurav Raina

Recently Albert and Bousquet-M\'elou \cite{AB15} obtained the solution to the long-standing problem of the number of permutations sortable by two stacks in parallel (tsip). Their solution was expressed in terms of functional equations. We…

Combinatorics · Mathematics 2020-02-18 Andrew Elvey Price , Anthony J. Guttmann

A sequence of reversals that takes a signed permutation to the identity is perfect if at no step a common interval is broken. Determining a parsimonious perfect sequence of reversals that sorts a signed permutation is NP-hard. Here we show…

Combinatorics · Mathematics 2009-05-18 Mathilde Bouvel , Cedric Chauve , Marni Mishna , Dominique Rossin

We show the equivalence of two distributed computing models, namely reconfigurable broadcast networks (RBN) and asynchronous shared-memory systems (ASMS), that were introduced independently. Both RBN and ASMS are systems in which a…

Logic in Computer Science · Computer Science 2021-08-27 A. R. Balasubramanian , Chana Weil-Kennedy