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arXiv 2024年

作者： Daneels, Matias Goedgebeur, Jan Renders, Jarne Department of Computer Science KU Leuven Campus Kulak-Kortrijk Kortrijk8500 Belgium Department of Applied Mathematics Computer Science and Statistics Ghent University Ghent9000 Belgium

An injective colouring of a graph is a colouring in which every two vertices sharing a common neighbour receive a different colour. Chen, Hahn, Raspaud and Wang conjectured that every planar graph of maximum degree ∆ ≥ 3 admits an injective colouring with at most ⌊3∆/2⌋ colours. This was later disproved by Lužar and Škrekovski for certain small and even values of ∆ and they proposed a new refined conjecture. Using an algorithm for determining the injective chromatic number of a graph, i.e. the smallest number of colours for which the graph admits an injective colouring, we give computational evidence for Lužar and Škrekovski’s conjecture and extend their results by presenting an infinite family of 3-connected planar graphs for each ∆ (except for 4) attaining their bound, whereas they only gave a finite amount of examples for each ∆. Hence, together with another infinite family of maximum degree 4, we provide infinitely many counterexamples to the conjecture by Chen et al. for each ∆ if 4 ≤ ∆ ≤ 7 and every even ∆ ≥ 8. We provide similar evidence for analogous conjectures by La and Štorgel and Lužar, Škrekovski and Tancer when the girth is restricted as well. Also in these cases we provide infinite families of 3-connected planar graphs attaining the bounds of these conjectures for certain maximum degrees ∆ ≥ *** Codes 05C10, 05C15, 05C85, 68R10, 90C35 Copyright © 2024, The Authors. All rights reserved.

关键词： Graphic methods

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Predicting the friction angle of clays using a multi-layer perceptron neural network enhanced by yeo-johnson transformation and coral reefs optimization

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Journal of Rock Mechanics and Geotechnical Engineering 2024年第10期16卷 3982-4003页

作者： Libing Yang Trung Nguyen-Thoi Trung-Tin Tran College of Civil Engineering and Architecture Hunan Institute of Science and TechnologyYueyang414006China Laboratory for Applied and Industrial Mathematics Institute for Computational Science and Artificial IntelligenceVan Lang UniversityHo Chi Minh CityViet Nam Faculty of Mechanical-Electrical and Computer Engineering School of TechnologyVan Lang UniversityHo Chi Minh CityViet Nam Department of Information Technology Greenwich VietnamFPT UniversityDa Nang550000Viet Nam

The accurate prediction of the friction angle of clays is crucial for assessing slope stability in engineering *** study addresses the importance of estimating the friction angle and presents the development of four soft computing models:YJ-FPA-MLPnet,YJ-CRO-MLPnet,YJ-ACOC-MLPnet,and *** of all,the Yeo-Johnson(YJ)transformation technique was used to stabilize the variance of data and make it more suitable for parametric statistical models that assume normality and equal *** technique is expected to improve the accuracy of friction angle prediction *** friction angle prediction models then utilized multi-layer perceptron neural networks(MLPnet)and metaheuristic optimization algorithms to further enhance performance,including flower pollination algorithm(FPA),coral reefs optimization(CRO),ant colony optimization continuous(ACOC),and cuckoo search algorithm(CSA).The prediction models without the YJ technique,***-MLPnet,CRO-MLPnet,ACOC-MLPnet,and CSA-MLPnet,were then compared to those with the YJ technique,***-FPA-MLPnet,YJ-CRO-MLPnet,YJ-ACOC-MLPnet,and *** these,the YJ-CRO-MLPnet model demonstrated superior reliability,achieving an accuracy of up to 83%in predicting the friction angle of clay in practical engineering *** improvement is significant,as it represents an increase from 1.3%to approximately 20%compared to the models that did not utilize the YJ transformation technique.

关键词： Natural hazards Slope stability Friction angle Clay Soft computing models Geotechnical engineering

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Quadripartitioned Neutrosophic Graph Structures

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Neutrosophic Sets and Systems 2022年 51卷 269-294页

作者： Hussain, S. Satham Rashmonlou, Hossein Mofidnakhaei, F. Hussain, R Jahir Sahoo, Sankar Broumi, Said PG & Research Department of Mathematics Jamal Mohamed College Tamilnadu Trichy India Department of Mathematics University of Mazandarn Babolsar Iran Department of Physics Sari Branch Islamic Azad University Sari Iran Department of Applied Mathematics with Oceanology and Computer Programming Vidyasagar University Midnapore India Laboratory of Information Processing Faculty of Science Ben M’Sik University Hassan II Casablanca Morocco

The quadripartitioned neutrosophic set is the partition of indeterminacy function of the neutrosophic set into contradiction part and ignorance part. In this work, the concept of quadripartitioned neutrosophic graph structures and its properties are invented. The strong, tree, Φ − permutation and Φ − complement of quadripartitioned neutrosophic graph structure are investigated. The operations like Cartesian Product, cross product, lexicographic product, composition in graph structures and join operations are established. © 2022, Neutrosophic Sets and Systems. All Rights Reserved.

关键词： Graphic methods

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Bounds on the Rate of Convergence for a class of Birth-death Process with Two Types of Catastrophes 8

Bounds on the Rate of Convergence for a class of Birth-death...

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8th International Conference on Information, Control, and Communication Technologies, ICCT 2024

作者： Zeifman, Alexander Usov, Ilya Kryukova, Anastasia Satin, Yacov Lomonosov Moscow State University Moscow Center for Fundamental and Applied Mathematics Moscow Russia Computer Science and Control of the Russian Academy of Sciences Federal Research Center Moscow Russia Vologda Research Center The Russian Academy of Sciences Vologda Russia Vologda State University Department of Mathematics and Informatics Vologda Russia

ISBN: (纸本)9798331517564

This paper examines a special class of inhomogeneous birth-death process with two types of catastrophes. The first catastrophe, denoted as the α(t) catastrophe, results in the complete annihilation of all individuals in the system, while the second, β(t) catastrophe, leads to the partial demise of individuals, leaving only one survivor. In addition, we deal with general type of impatience. Namely, we assume that the incoming arrival rates decrease and the service rates increase as the queue length increases. By analyzing the forward Kolmogorov system and employing the logarithmic norm of the reduced infinitesimal characteristic matrix, we derived an estimate for the convergence rate to the limiting regime in both the l1 norm and the "weighted"1D norm. Additionally, we provided an estimate for the expected number of individuals remaining in the system. A numerical example is presented, wherein the process X(t) is analyzed with specific intensity functions, illustrating the behavior of probabilities p0(t), p1(t), p2(t) along with their mean values. © 2024 IEEE.

关键词： Markov chains

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A generalization of dowson’s result

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UPB Scientific Bulletin, Series A: applied mathematics and Physics 2021年第1期83卷 225-232页

作者： Zamfir, Mariana Şerbănescu, Cristina Department of Mathematics and Computer Science Technical University of Civil Engineering of Bucharest Romania Faculty of Applied Sciences University Politehnica of Bucharest Romania

In this paper we obtain S-spectral operators which appear as restrictions and quotients of spectral operators. We generalize the result obtained by H.R. Dowson about the fact that the restriction and quotient of a spectral operator at a closed subspace of a complex Banach space are, in certain conditions, spectral operators. In this article we found a condition in which the restriction and quotient are even S-spectral operators thorough the separation and extraction of the restriction and quotient operators’ spectral part. Finally, the results are extended from one operator to an operator system. © 2021, Politechnica University of Bucharest. All rights reserved.

关键词： Banach spaces

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COMPARATIVE PERFORMANCE OF MACHINE LEARNING MODELS FOR TEMPERATURE PREDICTION IN VANADIUM REDOX FLOW BATTERIES

COMPARATIVE PERFORMANCE OF MACHINE LEARNING MODELS FOR TEMPE...

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International Conference on Green Energy, Computing and Intelligent Technology 2024, GEn-CITy 2024

作者： Zhang, Anxiu Juwono, Filbert H. Li, Hongfei Purwanto, Erick Wong, W.K. Liu, Linfeng Telecommunications Engineering Program Xi'an Jiaotong-Liverpool University Suzhou China Department of Electrical and Electronic Engineering Xi'an Jiaotong-Liverpool University Suzhou China Applied Mathematics Program Xi'an Jiaotong-Liverpool University Suzhou China Department of Computing Xi'an Jiaotong-Liverpool University Suzhou China Department of Electrical and Computer Engineering Curtin University Malaysia Miri Malaysia Sustainable Energy Technology Program Xi'an Jiaotong-Liverpool University Suzhou China

ISBN: (纸本)9781837242689

Vanadium Redox Flow Batteries (VRFB) are promising for large-scale energy storage due to their long life and environmental benefits. Accurate temperature prediction is key to optimizing VRFB performance and longevity. This study compares the performance of four machine learning models, i.e., 1D CNN, Particle Swarm Optimization - Support Vector Regressor (PSO-SVR), Decision Tree (DT), and K-Nearest Neighbors (KNN), using a publicly available dataset. Results show that KNN achieves the best results with test Root Mean Square Error (RMSE) of 0.0424 (average) and test R2 of 0.9746 (average), demonstrating strong predictive accuracy. 1D CNN, however, shows poor generalization. These findings suggest that non-parametric models like KNN and DT are highly effective for VRFB temperature prediction. © The Institution of Engineering & Technology 2024.

关键词： machine learning prediction Vanadium redox flow battery

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Multitask Classification of Antimicrobial Peptides for Simultaneous Assessment of Antimicrobial Property and Structural Fold

Multitask Classification of Antimicrobial Peptides for Simul...

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International Conference on Acoustics, Speech, and Signal Processing (ICASSP)

作者： Michaela Areti Zervou Effrosyni Doutsi Yannis Pantazis Panagiotis Tsakalides Department of Computer Science University of Crete Heraklion Greece Institute of Computer Science-FORTH Heraklion Greece Institute of Applied and Computational Mathematics-FORTH Heraklion Greece

Antimicrobial peptides (AMPs) play a significant role in guiding drug design, advancing targeted therapies, and cancer treatment research. The function of peptides is highly associated with their three-dimensional structure. AMPs particularly favor alpha-helical structures, or alpha-folds, due to their ability to disrupt the protective layers that surround cells effectively and their structural stability. Existing classifiers mainly identify AMPs but overlook their structural fold which can provide valuable insights into their function. To address this limitation, we introduce an innovative multitask classifier that recognizes AMPs and predicts their alphahelical folds simultaneously. Our approach employs k-mers and Transformer networks for efficient, accurate multitask classification. Results on the datasets indicate comparable performance compared to single-task methods in half the time and complexity.

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Synergetic effects of multiple junction and surface hydroxyl in Cu/CuO/Cu2O/TiO2 heterostructures towards highly efficient photocatalysts for hydrogen generation

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Materials science for Energy Technologies 2025年 8卷 131-142页

作者： Subagyo, Riki Anindika, Garcelina Rizky Aufkani, Afif Akmal Zhang, Lei Ardhyananta, Hosta Burhan, R.Y. Perry Nugraheni, Zjahra Vianita Akhlus, Syafsir Bahruji, Hasliza Prasetyoko, Didik Wellia, Diana Vanda Ivansyah, Atthar Luqman Arramel Kusumawati, Yuly Department of Chemistry Faculty of Science and Analytic Data Institut Teknologi Sepuluh Nopember Surabaya60111 Indonesia Center of Excellence Applied Physics and Chemistry Nano Center Indonesia Jl PUSPIPTEK South Tangerang Banten15314 Indonesia Department of Physics National University of Singapore Singapore117551 Singapore Department of Materials and Metallurgical Engineering Faculty of Industrial Technology and Systems Engineering Institut Teknologi Sepuluh Nopember Surabaya60111 Indonesia Centre of Advanced Material and Energy Science Universiti Brunei Darussalam Jalan Tungku Link BE 1410 Brunei Department of Chemistry Faculty of Mathematics and Natural Sciences Universitas Andalas Padang25163 Indonesia Master Program in Computational Science Faculty of Mathematics and Natural Science Institut Teknologi Bandung Jalan Ganesha No. 10 Bandung40132 Indonesia Instrumentation and Computational Physics Research Group Department of Physics Faculty of Mathematics and Natural Sciences Institut Teknologi Bandung Jalan Ganesha No.10 West Java Bandung40132 Indonesia

The implementation of titanium dioxide (TiO2) as a photocatalyst material in hydrogen (H2) evolution reaction (HER) has embarked renewed interest in the past decade. Rapid electron-hole pairs recombination and wide band gap of a photo-sensitive material of TiO2 are detrimental toward the targeted catalytical reaction. In this study, we present the rational design, fabrication, photocatalytic performance of TiO2-Cu/CuO/Cu2O heterostructures (CuTi) using viable chemical reduction method. The Z-scheme and S-scheme are succesfully generated across the TiO2/CuO/Cu2O interfaces, while the Schottky junction arises on the Cu perimeters. This is evidenced from the blue shifted about 0.3 eV of Cu 2p core level determined by using X-ray photoemission spectroscopy (XPS), in combination with the formation of inverse V-shape of the Mott-Schottky plots. In addition, we find that Cu/CuO/Cu2O facilitates photon absorption range up to the visible region. The multiple heterojunction and the large number of OHsurface enhanced charge carrier transfer are associated to the suppression of photoluminescence (PL) intensity, high surface hydroxyl (OHsurface) density in CuTi probed by XPS, and fast electron transfer based on the electrochemical measurements. The presence of OHsurface inhibits the recombination of electron. A significant H2 photogeneration rate enhancement is achieved when an optimized 5 wt% Cu/CuO/Cu2O concentration is used on TiO2 to achieve 7,157.19 μmol·g−1 (1,789.30 μmol·g−1·h−1). Based on this finding, zero emission energy innitiative could be materialized under multiple heterojunctions in photocatalytic process is beneficial for enhancing the H2 production. © 2025 The Authors

关键词： Titanium dioxide

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The Dihedral Dunkl–Dirac Symmetry Algebra with Negative Clifford Signature 14th

The Dihedral Dunkl–Dirac Symmetry Algebra with Negative Cli...

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14th International Workshop on Lie Theory and Its Applications in Physics, LT 2021

作者： Langlois-Rémillard, Alexis Department of Applied Mathematics Computer Science and Statistics Faculty of Sciences Ghent University Krijgslaan 281-S9 Gent9000 Belgium

ISBN: (纸本)9789811947506

The Dunkl–Dirac symmetry algebra is an associative subalgebra of the tensor product of a Clifford algebra and the faithful polynomial representation of a rational Cherednik algebra. In previous work, the finite-dimensional representations of the Dunkl–Dirac symmetry algebra in three dimensions linked with a dihedral group were given. We give here the necessary results to proceed to the same construction when the Clifford algebra in the tensor product has negative signature. © 2022, The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd.

关键词： Tensors

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Seafloor Imaging Maps by Incorporating Side Scan Sonar Technology on Hybrid Autonomous Underwater Glider 6

Seafloor Imaging Maps by Incorporating Side Scan Sonar Techn...

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6th International Seminar on Research of Information Technology and Intelligent Systems, ISRITI 2023

作者： Atmaja, Ardian Budi Kusuma Hidayat, Egi Muhammad Idris Riyanto Trilaksono, Bambang Siregar, Simon Habibullah, Natsir School of Electrical Engineering and Informatics Institut Teknologi Bandung Bandung Indonesia Institut Teknologi Bandung Telkom University Doctoral Program of Electrical Engineering Department Computer Engineering Faculty of Applied Science Indonesia

ISBN: (纸本)9798350358346

This research aims to construct a two-dimensional image to represent an underwater geometry map with a Side Scan Sonar (SSS) mounted on a Hybrid Autonomous Underwater Glider (HAUG). Building the underwater map has two stages of the process. The first stage is preprocessing which includes Time-varying gains (TVG), slant range correction, and ground range correction. The second is HAUG navigation, the movement of HAUG orientation to the angle and distance of SSS readings and plotting the geometry of the grid map. With these two stages, a two-dimensional grid map will be formed. Meanwhile, the 3D plot utilizes slant range and ground range correction to obtain the surface height of the bottom of the pool. From the experiments conducted to conduct mapping in the pool, two-dimensional and three-dimensional visual forms of the pool floor and pool walls were produced. The results of the estimated measurement of the width of the pool obtained 14.05 meters and the height of the pool 3.199 meters with an SSS beam angle of 58 degrees. © 2023 IEEE.

关键词： Geometry

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