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We consider the problem of encoding a finite set of vectors into a small number of bits while approximately retaining information on the angular distances between the vectors. By deriving improved variance bounds related to binary Gaussian…

Information Theory · Computer Science 2017-12-27 Sjoerd Dirksen , Alexander Stollenwerk

In train networks, carefully-chosen delays may be beneficial for certain passengers, who would otherwise miss some connection. Given a simple (directed or undirected) temporal graph and a set of passengers (each specifying a starting…

Data Structures and Algorithms · Computer Science 2025-04-11 David C. Kutner , Anouk Sommer

Fast Fourier transform algorithms are an arsenal of effective tools for solving various problems of analysis and high-speed processing of signals of various natures. Almost all of these algorithms are designed to process sequences of…

Data Structures and Algorithms · Computer Science 2025-04-11 Aleksandr Cariow

Electronic devices primarily aim to offer low power consumption, high speed, and a compact area. The performance of very large-scale integration (VLSI) devices is influenced by arithmetic operations, where multiplication is a crucial…

Hardware Architecture · Computer Science 2025-06-16 Ali Ranjbar , Elham Esmaeili , Roghayeh Rafieisangari , Nabiollah Shiri

Most of the literature on spanners focuses on building the graph from scratch. This paper instead focuses on adding edges to improve an existing graph. A major open problem in this field is: given a graph embedded in a metric space, and a…

Computational Geometry · Computer Science 2022-12-20 Joachim Gudmundsson , Sampson Wong

This paper presents a technique for symmetry reduction that adaptively assigns a prefix of variables in a system of constraints so that the generated prefix-assignments are pairwise nonisomorphic under the action of the symmetry group of…

Logic in Computer Science · Computer Science 2018-09-11 Tommi Junttila , Matti Karppa , Petteri Kaski , Jukka Kohonen

Increasing quantum circuit fidelity requires an efficient instruction set to avoid errors from decoherence. The choice of a two-qubit (2Q) hardware basis gate depends on a quantum modulator's native Hamiltonian interactions and applied…

Quantum Physics · Physics 2025-04-22 Evan McKinney , Chao Zhou , Mingkang Xia , Michael Hatridge , Alex K. Jones

We consider a simple network consisting of a source, a half-duplex DF relay with a buffer, and a destination. We assume that the direct source-destination link is not available and all links undergo fading. We propose two new buffer-aided…

Information Theory · Computer Science 2013-02-19 Nikola Zlatanov , Robert Schober

Let G be a planar graph and F a set of additional edges not yet in G. The multiple edge insertion problem (MEI) asks for a drawing of G+F with the minimum number of pairwise edge crossings, such that the subdrawing of G is plane. Finding an…

Discrete Mathematics · Computer Science 2016-08-08 Markus Chimani , Petr Hlineny

Sorting is one of the fundamental problems in computer science. Playing a role in many processes, it has a lower complexity bound imposed by $\mathcal{O}(n\log{n})$ when executing on a sequential machine. This limit can be brought down to…

Hardware Architecture · Computer Science 2025-07-23 Daniel Bascones , Borja Morcillo

Compact and I/O-efficient data representations play an important role in efficient algorithm design, as memory bandwidth and latency can present a significant performance bottleneck, slowing the computation by orders of magnitude. While…

Data Structures and Algorithms · Computer Science 2018-11-19 Tomáš Gavenčiak , Jakub Tětek

This paper presents the designs of asynchronous early output dual-bit full adders without and with redundant logic (implicit) corresponding to homogeneous and heterogeneous delay-insensitive data encoding. For homogeneous delay-insensitive…

Hardware Architecture · Computer Science 2017-04-26 P Balasubramanian , K Prasad

We present an improved algorithm for computing the $4$-edge-connected components of an undirected graph in linear time. The new algorithm uses only elementary data structures, and it is simple to describe and to implement in the pointer…

Data Structures and Algorithms · Computer Science 2021-08-20 Loukas Georgiadis , Giuseppe F. Italiano , Evangelos Kosinas

The effective use of parallel computing resources to speed up algorithms in current multi-core parallel architectures remains a difficult challenge, with ease of programming playing a key role in the eventual success of various parallel…

Data Structures and Algorithms · Computer Science 2014-12-09 Arash Farzan , Alejandro López-Ortiz , Patrick K. Nicholson , Alejandro Salinger

A common situation occurring when dealing with multimedia traffic is having large data frames fragmented into smaller IP packets, and having these packets sent independently through the network. For real-time multimedia traffic, dropping…

Networking and Internet Architecture · Computer Science 2014-02-28 Michael Markovitch , Gabriel Scalosub

Multi-term floating-point addition appears in vector dot-product computations, matrix multiplications, and other forms of floating-point data aggregation. A critical step in multi-term floating point addition is the alignment of fractions…

Hardware Architecture · Computer Science 2024-10-30 Kosmas Alexandridis , Giorgos Dimitrakopoulos

The prefix sum operation is a useful primitive with a broad range of applications. For database systems, it is a building block of many important operators including join, sort and filter queries. In this paper, we study different methods…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-12-25 Wangda Zhang , Yanbin Wang , Kenneth A. Ross

Bach et al. [1] recently presented an algorithm for constructing confluent drawings, by leveraging power graph decomposition to generate an auxiliary routing graph. We identify two issues with their method which we call the node split and…

Computational Geometry · Computer Science 2019-09-04 Jonathan X. Zheng , Samraat Pawar , Dan F. M. Goodman

One model of message delivery in a computer network is based on labelling each edge by a subset of a (reasonably small) universal set, and then encoding a path as the union of the labels of its edges. Earlier work suggested using random…

Combinatorics · Mathematics 2018-06-26 Gokce Caylak Kayaturan , Alexei Vernitski

The nested parallel (a.k.a. fork-join) model is widely used for writing parallel programs. However, the two composition constructs, i.e. "$\parallel$" (parallel) and "$;$" (serial), are insufficient in expressing "partial dependencies" or…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-02-16 David Dinh , Harsha Vardhan Simhadri , Yuan Tang