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Solving Sudoku puzzles is one of the most popular pastimes in the world. Puzzles range in difficulty from easy to very challenging; the hardest puzzles tend to have the most empty cells. The current paper explains and compares three…

Optimization and Control · Mathematics 2013-05-17 Eric C. Chi , Kenneth Lange

Various applications of car plate recognition systems have been developed using various kinds of methods and techniques by researchers all over the world. The applications developed were only suitable for specific country due to its…

Computer Vision and Pattern Recognition · Computer Science 2011-01-11 Nor Amizam Jusoh , Jasni Mohamad Zain

We identify a relationship between the solutions of a nonsymmetric algebraic T-Riccati equation (T-NARE) and the deflating subspaces of a palindromic matrix pencil, obtained by arranging the coefficients of the T-NARE. The interplay between…

Numerical Analysis · Mathematics 2021-10-08 Peter Benner , Bruno Iannazzo , Beatrice Meini , Davide Palitta

Probabilistic circuits (PCs) are a class of tractable probabilistic models that allow efficient, often linear-time, inference of queries such as marginals and most probable explanations (MPE). However, marginal MAP, which is central to many…

Artificial Intelligence · Computer Science 2022-03-07 YooJung Choi , Tal Friedman , Guy Van den Broeck

With nowadays steadily growing quantum processors, it is required to develop new quantum tomography tools that are tailored for high-dimensional systems. In this work, we describe such a computational tool, based on recent ideas from…

Polar codes provably achieve the symmetric capacity of a memoryless channel while having an explicit construction. This work aims to increase the throughput of polar decoder hardware by an order of magnitude relative to the state of the art…

Hardware Architecture · Computer Science 2015-05-20 Gabi Sarkis , Pascal Giard , Alexander Vardy , Claude Thibeault , Warren J. Gross

The Piecewise Polynomial Interpolation (PPI) function approach is aimed at solving nonlinear programming problems with disjoint feasible regions. In such problems, disjointedness is generally associated with prohibited operating zones,…

Optimization and Control · Mathematics 2020-07-24 Ricardo B. N. M. Pinheiro , Antonio R. Balbo , Leonardo Nepomuceno

Evolomino is a pencil-and-paper logic puzzle published by the Japanese company Nikoli, renowned for culture-independent puzzles such as Sudoku, Kakuro, and Slitherlink. Its name reflects the core mechanic: the polyomino-like blocks drawn by…

Optimization and Control · Mathematics 2026-05-18 Andrei V. Nikolaev , Yuri A. Myasnikov

This paper presents a novel construction method for symmetric Sudoku-type games based on Lee distance perfect codes and diameter perfect codes. The proposed method utilizes the tiling property of these codes to define the structure of the…

Combinatorics · Mathematics 2026-05-12 Junmin An , Jae-Hyun Baek , Keon-Hwi Kim , Haeun Lim , Jon-Lark Kim

Tardos codes are currently the state-of-the-art in the design of practical collusion-resistant fingerprinting codes. Tardos codes rely on a secret vector drawn from a publicly known probability distribution in order to generate each Buyer's…

Cryptography and Security · Computer Science 2010-10-14 Ana Charpentier , Caroline Fontaine , Teddy Furon , Ingemar Cox

We investigate the graphs formed from the vertices and creases of an origami pattern that can be folded flat along all of its creases. As we show, this is possible for a tree if and only if the internal vertices of the tree all have even…

Computational Geometry · Computer Science 2019-07-16 David Eppstein

Zero-knowledge proof (ZKP) systems have surged attention and held a fundamental role in contemporary cryptography. Zero-knowledge succinct non-interactive argument of knowledge (zk-SNARK) protocols dominate the ZKP usage, implemented…

Software Engineering · Computer Science 2025-12-23 Qizhe Yang , Boxuan Liang , Hao Chen , Guoqiang Li

The ZX-calculus is a graphical language for reasoning about quantum computation using ZX-diagrams, a certain flexible generalisation of quantum circuits that can be used to represent linear maps from $m$ to $n$ qubits for any $m,n \geq 0$.…

Quantum Physics · Physics 2022-09-05 Niel de Beaudrap , Aleks Kissinger , John van de Wetering

In this report we consider the set of the 16 possible convex tangrams that can be composed with the 7 so-called "Sei Shonagon Chie no Ita" (or Japanese) tans, see [10]. The set of these Japanese tans is slightly different from the…

History and Overview · Mathematics 2018-12-04 T. G. J. Beelen , T. Verhoeff

This paper presents a novel encryption-less algorithm to enhance security in transmission of data in networks. The algorithm uses an intuitively simple idea of a "jigsaw puzzle" to break the transformed data into multiple parts where these…

Cryptography and Security · Computer Science 2010-02-25 Rangarajan Athi Vasudevan , Ajith Abraham , Sugata Sanyal

The problem of bound entanglement detection is a challenging aspect of quantum information theory for higher dimensional systems. Here, we propose an indecomposable positive map for two-qutrit systems, which is shown to generate a class of…

Many of the famous single-player games, commonly called puzzles, can be shown to be NP-Complete. Indeed, this class of complexity contains hundreds of puzzles, since people particularly appreciate completing an intractable puzzle, such as…

Artificial Intelligence · Computer Science 2019-07-02 Cédric Piette , Éric Piette , Matthew Stephenson , Dennis J. N. J. Soemers , Cameron Browne

We consider the task of secure multi-party distributed quantum computation on a quantum network. We propose a protocol based on quantum error correction which reduces the number of necessary qubits. That is, each of the $n$ nodes in our…

Quantum Physics · Physics 2022-10-04 Victoria Lipinska , Jérémy Ribeiro , Stephanie Wehner

Simulating physical systems on near-term quantum computers often requires preparing states within constrained subspaces, like those with fixed particle number or spin. We use Lie algebraic techniques to prove that hardware-efficient gates…

Quantum Physics · Physics 2026-05-05 Andreas Stergiou , Nicolas PD Sawaya

The field of rigid origami concerns the folding of stiff, inelastic plates of material along crease lines that act like hinges and form a straight-line planar graph, called the crease pattern of the origami. Crease pattern vertices in the…

Metric Geometry · Mathematics 2025-07-22 Thomas C. Hull