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  • Article
  • Open Access
5 Citations
3,980 Views
18 Pages

Spatial Concept Query Based on Lattice-Tree

  • Aopeng Xu,
  • Zhiyuan Zhang,
  • Xiaqing Ma,
  • Zixiang Zhang and
  • Tao Xu

As a basic method of spatial data operation, spatial keyword query can provide meaningful information to meet user demands by searching spatial textual datasets. How to accurately understand users’ intentions and efficiently retrieve results fr...

  • Article
  • Open Access
17 Citations
8,952 Views
16 Pages

Lattice Quad-Tree Indexing Algorithm for a Hexagonal Discrete Global Grid System

  • Jianbin Zhou,
  • Jin Ben,
  • Rui Wang,
  • Mingyang Zheng and
  • Lingyu Du

Hexagonal discrete global grid systems are the preferred data models supporting multisource geospatial information fusion. Related research has aroused widespread concern in the academic community, and hierarchical indexing algorithms are one of the...

(This article belongs to the Special Issue Global Grid Systems)
  • Article
  • Open Access
2 Citations
3,925 Views
21 Pages

Linear Trees, Lattice Walks, and RNA Arrays

  • Jasmine Renee Evans and
  • Asamoah Nkwanta

The leftmost column entries of RNA arrays I and II count the RNA numbers that are related to RNA secondary structures from molecular biology. RNA secondary structures sometimes have mutations and wobble pairs. Mutations are random changes that occur...

(This article belongs to the Special Issue Feature Papers in AppliedMath)
  • Article
  • Open Access
2 Citations
3,938 Views
27 Pages

26 May 2023

Methods of combinatorial generation make it possible to develop algorithms for generating objects from a set of discrete structures with given parameters and properties. In this article, we demonstrate the possibilities of using the method based on A...

(This article belongs to the Collection Feature Papers in Combinatorial Optimization, Graph, and Network Algorithms)
  • Article
  • Open Access
19 Citations
4,478 Views
12 Pages

A Post-Quantum Digital Signature Using Verkle Trees and Lattices

  • Maksim Iavich,
  • Tamari Kuchukhidze and
  • Razvan Bocu

6 December 2023

Research on quantum computers has advanced significantly in recent years. If humanity ever creates an effective quantum computer, many of the present public key cryptosystems can be compromised. These cryptosystems are currently found in many commerc...

  • Article
  • Open Access
3 Citations
3,448 Views
19 Pages

29 January 2025

A novel sandwich structure of a fractal tree-like lattice (SSFL) is proposed. The geometry characteristics were constructed based on the fractal tree-like patterns found in many biological structures, such as giant water lilies and dragon blood trees...

(This article belongs to the Special Issue Advances in Porous Lightweight Materials and Lattice Structures)
  • Article
  • Open Access
9 Citations
3,452 Views
23 Pages

Granule-Based-Classifier (GbC): A Lattice Computing Scheme Applied on Tree Data Structures

  • Vassilis G. Kaburlasos,
  • Chris Lytridis,
  • Eleni Vrochidou,
  • Christos Bazinas and ,
  • George A. Papakostas,
  • Anna Lekova,
  • Omar Bouattane,
  • Mohamed Youssfi and
  • Takashi Hashimoto
  • + 4 authors+ 0 author

13 November 2021

Social robots keep proliferating. A critical challenge remains their sensible interaction with humans, especially in real world applications. Hence, computing with real world semantics is instrumental. Recently, the Lattice Computing (LC) paradigm ha...

(This article belongs to the Special Issue Lattice Computing: A Mathematical Modelling Paradigm for Cyber–Physical System Applications)
  • Article
  • Open Access
3 Citations
4,148 Views
18 Pages

14 March 2025

Many public key cryptosystems in use today run the risk of being broken as quantum computing develops, affecting the security of popular commercial applications. Although there are possible defenses against quantum assaults, their complexity and inef...

(This article belongs to the Topic Trends and Prospects in Security, Encryption and Encoding)
  • Article
  • Open Access
3 Citations
2,997 Views
18 Pages

Combinatorial Generation Algorithms for Directed Lattice Paths

  • Yuriy Shablya,
  • Arsen Merinov and
  • Dmitry Kruchinin

17 April 2024

Graphs are a powerful tool for solving various mathematical problems. One such task is the representation of discrete structures. Combinatorial generation methods make it possible to obtain algorithms that can create discrete structures with specifie...

(This article belongs to the Special Issue Advances in Graph Theory: Algorithms and Applications)
  • Article
  • Open Access
848 Views
32 Pages

9 June 2026

With the development of large-scale quantum computers, classical cryptographic algorithms such as RSA or ECC can easily be broken by Shor’s algorithm. Consequently, the cryptography community is shifting its focus toward Post-Quantum Cryptograp...

(This article belongs to the Section E1: Mathematics and Computer Science)
  • Article
  • Open Access
9 Citations
3,716 Views
25 Pages

Nowadays, quantum computing is developing at an unprecedented speed. This will pose a serious threat to the security of widely used public-key cryptosystems in the near future. Scientists are actively looking for ways to protect against quantum attac...

(This article belongs to the Topic Intelligent Optimization, Decision-Making and Privacy Preservation in Cyber–Physical Systems)
  • Article
  • Open Access
1,717 Views
68 Pages

A Hybrid Module-LWE and Hash-Based Framework for Memory-Efficient Post-Quantum Key Encapsulation

  • Elmin Marevac,
  • Esad Kadušić,
  • Nataša Živić,
  • Sanela Nesimović and
  • Christoph Ruland

Deploying post-quantum cryptography on highly constrained devices remains challenging due to the large key sizes and substantial storage and memory-traffic demands of leading lattice-based schemes. Although constructions such as Kyber, Dilithium, and...

(This article belongs to the Special Issue Advances in Post-Quantum Cryptography)
  • Article
  • Open Access
6 Citations
4,264 Views
14 Pages

Message Integration Authentication in the Internet-of-Things via Lattice-Based Batch Signatures

  • Xiuhua Lu,
  • Wei Yin,
  • Qiaoyan Wen,
  • Kaitai Liang and ,
  • Liqun Chen and
  • Jiageng Chen
  • + 1 author+ 0 author

20 November 2018

The internet-of-things (also known as IoT) connects a large number of information-sensing devices to the Internet to collect all kinds of information needed in real time. The reliability of the source of a large number of accessed information tests t...

(This article belongs to the Special Issue Threat Identification and Defence for Internet-of-Things)
  • Article
  • Open Access
2 Citations
4,254 Views
32 Pages

In this paper, we focus on two-factor lattices for general diffusion processes with state-dependent volatilities. Although it is common knowledge that branching probabilities must be between zero and one in a lattice, few methods can guarantee lattic...

(This article belongs to the Special Issue Volatility Modelling and Forecasting)
  • Article
  • Open Access
1 Citations
1,376 Views
19 Pages

Constrained Underdiagonal Paths and Pattern Avoiding Permutations

  • Andrea Frosini,
  • Veronica Guerrini and
  • Simone Rinaldi

4 February 2025

Moving from a simple bijection P between permutations Sn of length n and underdiagonal paths of size n, The we study and enumerate families of underdiagonal paths which are defined by restricting the bijection P to subclasses of Sn avoiding some vinc...

(This article belongs to the Special Issue Combinatorics, Riordan Matrices and Umbral Calculus—in Memory of Professor Emanuele Munarini)
  • Article
  • Open Access
7 Citations
2,727 Views
11 Pages

30 December 2021

The security of passwords generated by the graphic lattices is based on the difficulty of the graph isomorphism, graceful tree conjecture, and total coloring conjecture. A graphic lattice is generated by a graphic base and graphical operations, where...

  • Article
  • Open Access
37 Citations
4,469 Views
19 Pages

Machine Learning Algorithms for Predicting Mechanical Stiffness of Lattice Structure-Based Polymer Foam

  • Mohammad Javad Hooshmand,
  • Chowdhury Sakib-Uz-Zaman and
  • Mohammad Abu Hasan Khondoker

15 November 2023

Polymer foams are extensively utilized because of their superior mechanical and energy-absorbing capabilities; however, foam materials of consistent geometry are difficult to produce because of their random microstructure and stochastic nature. Alter...

(This article belongs to the Special Issue Design, Optimization, Simulation, and Defect Detection for Additive Manufacturing)
  • Feature Paper
  • Article
  • Open Access
7 Citations
6,012 Views
22 Pages

23 May 2016

Binomial trees are very popular in both theory and applications of option pricing. As they often suffer from an irregular convergence behavior, improving this is an important task. We build upon a new version of the Edgeworth expansion for lattice mo...

(This article belongs to the Special Issue Applying Stochastic Models in Practice: Empirics and Numerics)
  • Article
  • Open Access
855 Views
22 Pages

This work deals with questions of enhancing the scalability and security of linear chain Bitcoin by introducing a D-BTC (Domino Bitcoin) protocol, supported by a simply connected two-dimensional structure. The paper seeks to answer the question: can...

  • Article
  • Open Access
3 Citations
2,998 Views
15 Pages

24 March 2024

Oscillations in option price convergence have long been a problematic aspect of tree methods, inhibiting the use of repeated Richardson extrapolation that could otherwise greatly accelerate convergence, a feature integral to some of the most efficien...

(This article belongs to the Section E5: Financial Mathematics)
  • Article
  • Open Access
2 Citations
1,177 Views
22 Pages

11 May 2025

Tree-like fractals as internal structures are a novel alternative to conventional lattice structures for mechanical components produced via Selective Laser Melting (SLM). This study explores the mechanical behavior of tree-like fractals, targeting fl...

(This article belongs to the Special Issue Additive Manufacturing of Metallic Structures: Process and Applications)
  • Article
  • Open Access
16 Citations
5,153 Views
23 Pages

Evaluating the Stress-Strain Relationship of the Additively Manufactured Lattice Structures

  • Long Zhang,
  • Farzana Bibi,
  • Imtiyaz Hussain,
  • Muhammad Sultan and ,
  • Adeel Arshad,
  • Saqib Hasnain,
  • Ibrahim M. Alarifi,
  • Mohammed A. Alamir and
  • Uzair Sajjad
  • + 4 authors+ 0 author

27 December 2022

Extensive amount of research on additively manufactured (AM) lattice structures has been made to develop a generalized model that can interpret how strongly operational variables affect mechanical properties. However, the currently used techniques su...

(This article belongs to the Special Issue Recent Advances in Precision Manufacturing: Materials, Methods, and Potential Applications)
  • Article
  • Open Access
10 Citations
5,506 Views
19 Pages

30 April 2021

The adsorbed atoms exhibit tendency to occupy a triangular lattice formed by periodic potential of the underlying crystal surface. Such a lattice is formed by, e.g., a single layer of graphane or the graphite surfaces as well as (111) surface of face...

(This article belongs to the Special Issue Novel Research in Low-Dimensional Systems)
  • Article
  • Open Access
6 Citations
4,138 Views
22 Pages

28 November 2021

We discuss network models as a general and suitable framework for describing the spreading of an infectious disease within a population. We discuss two types of finite random structures as building blocks of the network, one based on percolation conc...

(This article belongs to the Special Issue Epidemic Models: Track and Control)
  • Article
  • Open Access
464 Views
20 Pages

18 June 2026

Linearly homomorphic signatures (LHSs) are widely used in scenarios such as network coding and the Internet of Things, but their security faces the serious threat of key leakage. To address this issue, this paper introduces a forward secure mechanism...

(This article belongs to the Section Information Theory, Probability and Statistics)
  • Article
  • Open Access
1 Citations
1,336 Views
16 Pages

9 May 2025

We study the topological defects and spin structures of rotating SU(3) spin–orbit-coupled spin F=1 Bose–Einstein condensates (BECs) in an in-plane quadrupole field with ferromagnetic spin interaction, and the BECs is confined by a harmoni...

(This article belongs to the Section Statistical Physics)
  • Article
  • Open Access
7 Citations
2,196 Views
31 Pages

11 October 2023

It is well established that the introduction of additive manufacturing in various domains has produced significant technological leaps due to the advantages over other manufacturing techniques. Furthermore, additive manufacturing allows the design of...

(This article belongs to the Section Additive Manufacturing Technologies)
  • Article
  • Open Access
3 Citations
2,652 Views
20 Pages

2 June 2020

Coal gasification has been promoted as a sophisticated clean energy technology alternative to coal burning these days. Aside from the usual technical difficulties, economic issues of such projects—especially valuation challenges—are impor...

(This article belongs to the Section C: Energy Economics and Policy)
  • Article
  • Open Access
14 Citations
4,122 Views
12 Pages

Reconfigurable Light Imaging in Photonic Higher-Order Topological Insulators

  • Xiaomeng Zhang,
  • Yuyu Zhou,
  • Xiaochen Sun,
  • Xiujuan Zhang and ,
  • Ming-Hui Lu and
  • Yan-Feng Chen
  • + 1 author+ 0 author

28 February 2022

Topological phases of matter with robust edge states have revolutionized the fundamental intuitions for wave control. The recent development of higher-order topological insulators (HOTIs) realizes even lower dimensional topological states that enable...

(This article belongs to the Special Issue Properties and Applications of Metamaterials)
  • Article
  • Open Access
4 Citations
3,044 Views
14 Pages

In this work, the electro-thermal properties of TreeFET, which combines vertically stacked nanosheet (NS) and fin-shaped interbridge (IB) channels, are investigated in terms of interbridge width (WIB), nanosheet space (SNS) and nanosheet width (WNS)...

(This article belongs to the Special Issue Advanced CMOS Devices)
  • Article
  • Open Access
4 Citations
1,474 Views
20 Pages

Logarithmic NTRU-Based Certificateless Ring Signature in E-Voting Applications

  • Wen Gao,
  • Tianyou Fu,
  • Simeng Ren,
  • Shixuan Jin and ,
  • Xiaoli Dong and
  • Zhen Zhao
  • + 1 author+ 0 author

In electronic voting systems, a large number of voters are often required to vote. It is also necessary to ensure the security of the voters and the fairness of the vote. The use of ring signatures is very suitable for e-voting systems because of the...

(This article belongs to the Special Issue Applied Cryptography and Practical Cryptoanalysis for Web 3.0)
  • Article
  • Open Access
4 Citations
2,449 Views
13 Pages

11 July 2022

A sample of FeCl3-modified phoenix tree fruit char (MPTFC) was prepared using pyrolysis and a facile chemical immersion method; it was proposed as an effective sorbent for Hg0 adsorption in flue gas. The BET, SEM, FTIR, and XPS methods were adopted f...

(This article belongs to the Special Issue Industrial Air Pollution Control in China)
  • Article
  • Open Access
45 Citations
5,982 Views
20 Pages

1 January 2021

A task for environmental health research is to produce complete pollution exposure maps despite limited monitoring data. Satellite-derived aerosol optical depth (AOD) is frequently used as a predictor in various models to improve PM2.5 estimation, de...

(This article belongs to the Special Issue Satellite Remote Sensing for Air Quality and Health)
  • Article
  • Open Access
812 Views
14 Pages

26 April 2026

The discovery of dynamical quantum phase transitions (DQPTs) has fundamentally challenged the traditional view that phase transitions only occur in thermal equilibrium. Experimental platforms and 1D numerical methods, like matrix product states (MPS)...

(This article belongs to the Section Non-equilibrium Phenomena)
  • Article
  • Open Access
13 Citations
12,152 Views
27 Pages

MLoF: Machine Learning Accelerators for the Low-Cost FPGA Platforms

  • Ruiqi Chen,
  • Tianyu Wu,
  • Yuchen Zheng and
  • Ming Ling

22 December 2021

In Internet of Things (IoT) scenarios, it is challenging to deploy Machine Learning (ML) algorithms on low-cost Field Programmable Gate Arrays (FPGAs) in a real-time, cost-efficient, and high-performance way. This paper introduces Machine Learning on...

(This article belongs to the Special Issue Hardware-Aware Deep Learning)
  • Article
  • Open Access
1,289 Views
24 Pages

Lattice-Hopping: A Novel Map-Representation-Based Path Planning Algorithm for a High-Density Storage System

  • Shuhan Zhang,
  • Yaqing Song,
  • Ziyu Chen,
  • Guo Chen and ,
  • Yongxin Cao,
  • Zhe Gao and
  • Xiaonong Xu
  • + 2 authors+ 0 author

16 June 2025

Optimal path planning algorithms offer substantial benefits in high-density storage (HDS) systems in modern smart manufacturing. However, traditional algorithms may encounter significant optimization challenges due to intricate architectural configur...

  • Article
  • Open Access
6 Citations
3,557 Views
24 Pages

17 January 2021

(1) Background: Early research in natural forests on decennia implanted conviction concerning the patchy patterns of their structural heterogeneity. Due to the variety of methodological approaches applied, verification of this fundamental assumption...

(This article belongs to the Section Forest Ecology and Management)
  • Article
  • Open Access
46 Citations
5,527 Views
22 Pages

Supervised Machine Learning Models for Mechanical Properties Prediction in Additively Manufactured Composites

  • Dario Prada Parra,
  • Guilherme Rezende Bessa Ferreira,
  • Jorge G. Díaz,
  • Mateus Gheorghe de Castro Ribeiro and
  • Arthur Martins Barbosa Braga

9 August 2024

This paper analyses mechanical property prediction through Machine Learning for continuous fiber-reinforced polymer matrix composites printed using the novel Material Extrusion Additive Manufacturing technique. The composite is formed by a nylon-base...

(This article belongs to the Section Materials Science and Engineering)
  • Article
  • Open Access
21 Citations
4,978 Views
14 Pages

19 March 2019

Abnormally slower diffusional processes than its internal structure relaxation have been observed in ring polymeric melt systems recently. A key structural feature in ring polymer melts is topological constraints which allow rings to assume a threadi...

(This article belongs to the Special Issue Theory and Simulations of Entangled Polymers)
  • Article
  • Open Access
12 Citations
4,174 Views
16 Pages

27 February 2023

Due to the rapid development of machine-learning technology, companies can build complex models to provide prediction or classification services for customers without resources. A large number of related solutions exist to protect the privacy of mode...

  • Article
  • Open Access
3 Citations
2,186 Views
21 Pages

Aerodynamic Optimization and Wind Field Characterization of a Quadrotor Fruit-Picking Drone Based on LBM-LES

  • Zhengqi Zhou,
  • Yonghong Tan,
  • Yongda Lin,
  • Zhili Pan and ,
  • Linhui Wang,
  • Zhizhuang Liu,
  • Yu Yang,
  • Lizhi Chen and
  • Xuxiang Peng
  • + 4 authors+ 0 author

Picking fruits from tall fruit trees manually is laborious and inefficient. Rotary-wing drones, a low-altitude carrier platform, can enhance the picking efficiency for tall fruit trees when combined with picking robotic arms. However, during the oper...

(This article belongs to the Special Issue Advancing Smart Farming through Agricultural Robots and Automation Technologies)
  • Article
  • Open Access
1 Citations
1,994 Views
19 Pages

Energy-Efficient Reconfigurable Acceleration Engine for Polynomial Coefficient Generation of Lattice-Based Post-Quantum Cryptography

  • Mengni Bie,
  • Wei Li,
  • Qiuxing Fu,
  • Tao Chen and ,
  • Yiran Du and
  • Longmei Nan
  • + 1 author+ 0 author

13 December 2024

Aiming at the problem of energy-efficient design of polynomial coefficient generation algorithms and reconfigurable units in lattice-based post-quantum cryptography, this paper investigates and implements an efficient coefficient generation accelerat...

  • Feature Paper
  • Article
  • Open Access
44 Citations
6,472 Views
16 Pages

Magnetic Characterization of Direct-Write Free-Form Building Blocks for Artificial Magnetic 3D Lattices

  • Mohanad K. I. Al Mamoori,
  • Lukas Keller,
  • Jonathan Pieper,
  • Sven Barth and ,
  • Robert Winkler,
  • Harald Plank,
  • Jens Müller and
  • Michael Huth
  • + 3 authors+ 0 author

12 February 2018

Three-dimensional (3D) nanomagnetism, where spin configurations extend into the vertical direction of a substrate plane allow for more complex, hierarchical systems and the design of novel magnetic effects. As an important step towards this goal, we...

(This article belongs to the Special Issue Advances in Superconductive and Magnetic Nanomaterials)
  • Article
  • Open Access
50 Citations
5,682 Views
16 Pages

23 November 2022

It is challenging to plan paths for autonomous vehicles on half-structured roads because of the vast planning area and complex environmental constraints. This work aims to plan optimized paths with high accuracy and efficiency. A two-step path planni...

  • Article
  • Open Access
4 Citations
1,412 Views
17 Pages

A Machine Learning Framework for the Hydraulic Permeability of Fibrous Biomaterials with a Micropolar Bio-Fluid

  • Nickolas D. Polychronopoulos,
  • Evangelos Karvelas,
  • Andrew Tsiantis and
  • Thanasis D. Papathanasiou

11 June 2025

Fibrous biomaterials are essential in biomedical engineering, tissue engineering, and filtration due to their specific transport and mechanical properties. Fluid flow through these materials is critical for their function. However, many biological fl...

(This article belongs to the Section Energy Systems)
  • Article
  • Open Access
9 Citations
3,583 Views
16 Pages

18 April 2022

Complex metal oxides (CMOs) are used broadly in applications including electroreactive forms found in lithium-ion battery technology. Computational chemistry can provide unique information about how the properties of CMO cathode materials change in r...

(This article belongs to the Section Materials Science and Engineering)
  • Article
  • Open Access
340 Views
17 Pages

28 August 2026

Assessing whether existing lattice towers can survive extreme wind when they are located on ridgelines or at saddle points requires three questions to be answered simultaneously: how the local wind field is modified by the surrounding topography, how...

  • Article
  • Open Access
24 Citations
5,655 Views
15 Pages

12 August 2020

Solar energy investment represents currently a valid reason to support sustainable economic development. In fact, over the last few years, governments have applied different measures to incentivize private consumers and firms to use renewable energie...

  • Article
  • Open Access
2,698 Views
36 Pages

12 October 2025

The subset-sum problem, a foundational NP-hard problem in theoretical computer science, serves as a critical building block for cryptographic constructions. This work introduces novel classical and quantum heuristic algorithms for the random subset-s...

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