Article
Computer Science, Theory & Methods
Yayu Yang, Mingzu Zhang, Jixiang Meng
Summary: The L-ary n-dimensional hamming graph is an interconnection network that is highly attractive for parallel processing and computing systems. This research analyzes the link fault tolerance of the topology structure of these networks, providing a theoretical basis for their design and optimization.
JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING
(2023)
Article
Mathematics, Applied
Aixia Liu, Jun Yuan, Shiying Wang, Jing Li
Summary: This paper investigates the connectivity and diagnosability of n-dimensional hierarchical star network HSn based on the concept of forbidden faulty sets. The results show specific numerical values for the connectivity and diagnosability under certain conditions in the network.
DISCRETE APPLIED MATHEMATICS
(2021)
Article
Computer Science, Hardware & Architecture
Yuxing Yang, Xiaohui Li, Jing Li
Summary: This paper investigates the definitions of H-structure connectivity and H-substructure connectivity of a given graph G, and analyzes these connectivities for n-dimensional balanced hypercube BHn under specific restrictions.
JOURNAL OF SUPERCOMPUTING
(2021)
Article
Computer Science, Hardware & Architecture
Tengteng Liang, Mingzu Zhang, Xing Yang
Summary: The h-extra edge-connectivity is an important parameter for the reliability and fault tolerance analysis of easily scalable interconnection networks. This paper explores the h-extra edge-connectivity of the n-dimensional pentanary cube and finds a concentration behavior on specific values.
JOURNAL OF SUPERCOMPUTING
(2022)
Article
Computer Science, Hardware & Architecture
Vahid Khalilpour Akram, Orhan Dagdeviren, Bulent Tavli
Summary: The article presents a distributed k-connectivity restoration approach for heterogeneous WSANs, which can effectively improve connectivity and fault tolerance by constructing a minimum cost movement path considering node locations, moving costs, and obstacles, capable of restoring k-connectivity more efficiently than existing algorithms.
IEEE TRANSACTIONS ON RELIABILITY
(2021)
Article
Computer Science, Theory & Methods
Hui Zhang, Rong-Xia Hao, Xiao-Wen Qin, Cheng-Kuan Lin, Sun-Yuan Hsieh
Summary: This paper investigates the applications of matroidal connectivity and conditional matroidal connectivity in alternating group graphs and proves the connectivity under certain conditions. The experimental results show that the matroidal connectivity significantly improves the fault-tolerant capability of alternating group graphs.
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
(2023)
Article
Computer Science, Theory & Methods
Yuxing Yang, Lingling Zhang
Summary: The paper investigates the conditions for the existence of a Hamiltonian path in faulty k-ary n-cube networks. It is proven that a Hamiltonian path exists through a linear forest in the network when the paths in the linear forest do not have the target nodes as internal or end nodes.
IEEE TRANSACTIONS ON PARALLEL AND DISTRIBUTED SYSTEMS
(2022)
Article
Chemistry, Analytical
Vahid Khalilpour Akram, Zuleyha Akusta Dagdeviren, Orhan Dagdeviren, Moharram Challenger
Summary: Maintaining reliable connectivity in Wireless Sensor Networks (WSNs) is crucial, and ensuring k-connectivity can increase the network's reliability against node failures. The proposed PINC algorithm efficiently restores k-connectivity by moving non-critical nodes when critical nodes fail, generating optimal movements faster than competitors in tests and simulations.
Article
Computer Science, Theory & Methods
Chai Shu, Xiang-Jun Li, Meijie Ma
Summary: Reliability analysis is crucial for the design of large multiprocessor systems, particularly in evaluating the connectivity of interconnection networks. The h-extra connectivity, represented as kh(G), refers to the minimal number of vertices needed to disconnect the network G while each remaining component still contains more than h vertices. This paper determines the h-extra connectivity of the star graph Sn for n >= 4 and 2 <= h <= 5.
THEORETICAL COMPUTER SCIENCE
(2022)
Article
Multidisciplinary Sciences
Xinyang Wang, Haozhe Li, Qiao Sun, Chen Guo, Hu Zhao, Xinyu Wu, Anqi Wang
Summary: Diagnosability plays a crucial role in evaluating the reliability and fault tolerance of symmetrical multiprocessor systems. The g-good-neighbor conditional diagnosability is suitable for large-scale multiprocessor systems and has received much attention. This paper investigates the relationships between the g-good-neighbor connectivity and diagnosability of graphs under the MM* model, specifically focusing on the exchanged crossed cube (ECO) network structure. The research derives the exact value of the g-good-neighbor diagnosability of ECO under the MM* model and provides a supplement to its diagnosability.
Article
Computer Science, Theory & Methods
Hongbin Zhuang, Wenzhong Guo, Xiao-Yan Li, Ximeng Liu, Cheng-Kuan Lin
Summary: This paper investigates the fault tolerance and fault diagnosis strategies in multiprocessor systems. By analyzing the combinatorial properties and fault tolerance ability of the n-dimensional Bicube network BQ(n), different diagnosis algorithms and diagnosis capabilities models are proposed.
THEORETICAL COMPUTER SCIENCE
(2021)
Article
Computer Science, Theory & Methods
Wantao Ning, Hao Li
Summary: This work investigates the h-edge connectivity of the exchanged crossed cube ECQ (s, t) and determines the minimum number of edges that need to be removed to disconnect the graph with no vertices of degree less than h.
THEORETICAL COMPUTER SCIENCE
(2021)
Article
Computer Science, Theory & Methods
Wantao Ning, Litao Guo
Summary: This article introduces a new interconnection network called the exchanged 3-ary n-cube E3C, which is obtained from the 3-ary n-cube Q(n)(3) network. E3C has better performances compared to Q(n)(3). The study also analyzes the connectivity and super connectivity of E3C.
THEORETICAL COMPUTER SCIENCE
(2022)
Article
Computer Science, Theory & Methods
Eddie Cheng, Laszlo Liptak, Ke Qiu, Zhizhang Shen, Abhishek Vangipuram
Summary: This paper presents upper bounds for the g-extra connectivity of the augmented hypercube structure, studies its lower bound through the super connectedness property, and suggests an asymptotically tight bound.
THEORETICAL COMPUTER SCIENCE
(2023)
Article
Computer Science, Hardware & Architecture
Yayu Yang, Mingzu Zhang, Jixiang Meng, Rongda Chen
Summary: Conditional edge-connectivity is an important parameter for evaluating the reliability and fault tolerance of multi-processor systems. In this paper, we determine the exact value of the a-average degree edge-connectivity of n-dimensional bijective connection networks.
Article
Computer Science, Software Engineering
Litao Guo, Xiaofeng Guo
CONCURRENCY AND COMPUTATION-PRACTICE & EXPERIENCE
(2019)
Article
Physiology
Litao Guo, Qi Su, Jin Yin, Zezhong Yang, Wen Xie, Shaoli Wang, Qingjun Wu, Hongying Cui, Youjun Zhang
FRONTIERS IN PHYSIOLOGY
(2019)
Article
Mathematics
Hui Shang, Eminjan Sabir, Jixiang Meng, Litao Guo
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
(2020)
Article
Computer Science, Theory & Methods
Litao Guo, Chengfu Qin, Liqiong Xu
JOURNAL OF PARALLEL AND DISTRIBUTED COMPUTING
(2020)
Article
Computer Science, Hardware & Architecture
Liqiong Xu, Litao Guo
Summary: This paper examines the component connectivity evaluation in interconnection networks, extending the discussion on k-component connectivity for non-complete connected graphs.
Article
Computer Science, Theory & Methods
Litao Guo, Mingzu Zhang, Shaohui Zhai, Liqiong Xu
Summary: This paper explores the relationship between extra edge connectivity and component edge connectivity in regular networks, and determines the component edge connectivity of BC networks, k-ary n-cubes, and enhanced hypercubes as applications.
INTERNATIONAL JOURNAL OF FOUNDATIONS OF COMPUTER SCIENCE
(2021)
Article
Mathematics
Ruifang Liu, Hong-Jian Lai, Litao Guo, Jie Xue
Summary: This passage discusses the definition of fractional matching and the fractional matching number of a graph, and analyzes the relationship between graph characteristics, spectral radius, and fractional matching.
LINEAR & MULTILINEAR ALGEBRA
(2022)
Article
Medicine, General & Internal
Aixia Sui, Huiling Song, Yitong Li, Litao Guo, Kai Wang, Mingming Yuan, Rongrong Chen
Summary: This case presents a patient with ALK-rearranged lung adenocarcinoma who developed acquired resistance to ALK inhibition, with the BRAF V600E mutation identified as a novel resistance mechanism.
Article
Computer Science, Theory & Methods
Litao Guo, Jun Ge
Summary: Connectivity is a critical parameter for measuring the reliability of networks, and the Cartesian product of graphs is a useful method for constructing large networks. The Cauchy-Schwarz inequality can be used to determine the component connectivity of Cartesian product of some graphs.
JOURNAL OF INTERCONNECTION NETWORKS
(2021)
Article
Mathematics, Applied
Litao Guo, Gulnaz Boruzanli Ekinci
Summary: In this paper, a new type of network called folded twisted crossed cube FTCQ(n) is introduced, obtained from twisted crossed cube TCQ(n) by adding extra edges. The connectivity and edge connectivity of FTCQ(n) are shown to be n + 1 for n >= 4. Additionally, the super-connectivity and super-edge-connectivity of FTCQn are determined to be 2n for n >= 4.
DISCRETE APPLIED MATHEMATICS
(2021)
Article
Computer Science, Theory & Methods
Wantao Ning, Litao Guo
Summary: This article introduces a new interconnection network called the exchanged 3-ary n-cube E3C, which is obtained from the 3-ary n-cube Q(n)(3) network. E3C has better performances compared to Q(n)(3). The study also analyzes the connectivity and super connectivity of E3C.
THEORETICAL COMPUTER SCIENCE
(2022)
Article
Oncology
Yitong Li, Narasimha M. Beeraka, Wenchang Guo, Yuying Lei, Qilu Hu, Litao Guo, Ruitai Fan, Junqi Liu, Aixia Sui
Summary: This study aims to identify prognostic factors and survival rates in patients with high-grade brainstem gliomas. The analysis of SEER database data showed that younger age and surgical resection were associated with a better prognosis. Radiotherapy and chemotherapy were also found to improve overall survival.
TECHNOLOGY IN CANCER RESEARCH & TREATMENT
(2022)
Article
Computer Science, Information Systems
Litao Guo
Summary: The reliability evaluation of interconnection networks is crucial for the design and maintenance of multiprocessor systems. This paper focuses on the t-component connectivity of the bubble-sort network B-n for small t, aiming to determine the minimum vertex or edge number required to disconnect the network into at least t components.
JOURNAL OF INTERNET TECHNOLOGY
(2021)
Article
Mathematics, Applied
Litao Guo, Guifu Su, Lutz Volkmann, Xingke Zhao
APPLICABLE ANALYSIS AND DISCRETE MATHEMATICS
(2019)
Article
Mathematics, Applied
Litao Guo, Bernard L. S. Lin
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S
(2019)
Article
Mathematics, Applied
Peter Frolkovic, Nikola Gajdosova
Summary: This paper presents compact semi-implicit finite difference schemes for solving advection problems using level set methods. Through numerical tests and stability analysis, the accuracy and stability of the proposed schemes are verified.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Md. Rajib Arefin, Jun Tanimoto
Summary: Human behaviors are strongly influenced by social norms, and this study shows that injunctive social norms can lead to bi-stability in evolutionary games. Different games exhibit different outcomes, with some showing the possibility of coexistence or a stable equilibrium.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Dingyi Du, Chunhong Fu, Qingxiang Xu
Summary: A correction and improvement are made on a recent joint work by the second and third authors. An optimal perturbation bound is also clarified for certain 2 x 2 Hermitian matrices.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Pingrui Zhang, Xiaoyun Jiang, Junqing Jia
Summary: In this study, improved uniform error bounds are developed for the long-time dynamics of the nonlinear space fractional Dirac equation in two dimensions. The equation is discretized in time using the Strang splitting method and in space using the Fourier pseudospectral method. The major local truncation error of the numerical methods is established, and improved uniform error estimates are rigorously demonstrated for the semi-discrete scheme and full-discretization. Numerical investigations are presented to verify the error bounds and illustrate the long-time dynamical behaviors of the equation with honeycomb lattice potentials.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kuan Zou, Wenchen Han, Lan Zhang, Changwei Huang
Summary: This research extends the spatial PGG on hypergraphs and allows cooperators to allocate investments unevenly. The results show that allocating more resources to profitable groups can effectively promote cooperation. Additionally, a moderate negative value of investment preference leads to the lowest level of cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Kui Du
Summary: This article introduces two new regularized randomized iterative algorithms for finding solutions with certain structures of a linear system ABx = b. Compared to other randomized iterative algorithms, these new algorithms can find sparse solutions and have better performance.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Shadi Malek Bagomghaleh, Saeed Pishbin, Gholamhossein Gholami
Summary: This study combines the concept of vanishing delay arguments with a linear system of integral-algebraic equations (IAEs) for the first time. The piecewise collocation scheme is used to numerically solve the Hessenberg type IAEs system with vanishing delays. Well-established results regarding regularity, existence, uniqueness, and convergence of the solution are presented. Two test problems are studied to verify the theoretical achievements in practice.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Qi Hu, Tao Jin, Yulian Jiang, Xingwen Liu
Summary: Public supervision plays an important role in guiding and influencing individual behavior. This study proposes a reputation incentives mechanism with public supervision, where each player has the authority to evaluate others. Numerical simulations show that reputation provides positive incentives for cooperation.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Werner M. Seiler, Matthias Seiss
Summary: This article proposes a geometric approach for the numerical integration of (systems of) quasi-linear differential equations with singular initial and boundary value problems. It transforms the original problem into computing the unstable manifold at a stationary point of an associated vector field, allowing efficient and robust solutions. Additionally, the shooting method is employed for boundary value problems. Examples of (generalized) Lane-Emden equations and the Thomas-Fermi equation are discussed.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Lisandro A. Raviola, Mariano F. De Leo
Summary: We evaluated the performance of novel numerical methods for solving one-dimensional nonlinear fractional dispersive and dissipative evolution equations and showed that the proposed methods are effective in terms of accuracy and computational cost. They can be applied to both irreversible models and dissipative solitons, offering a promising alternative for solving a wide range of evolutionary partial differential equations.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Yong Wang, Jie Zhong, Qinyao Pan, Ning Li
Summary: This paper studies the set stability of Boolean networks using the semi-tensor product of matrices. It introduces an index-vector and an algorithm to verify and achieve set stability, and proposes a hybrid pinning control technique to reduce computational complexity. The issue of synchronization is also discussed, and simulations are presented to demonstrate the effectiveness of the results obtained.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Ling Cheng, Sirui Zhang, Yingchun Wang
Summary: This paper considers the optimal capacity allocation problem of integrated energy systems (IESs) with power-gas systems for clean energy consumption. It establishes power-gas network models with equality and inequality constraints, and designs a novel full distributed cooperative optimal regulation scheme to tackle this problem. A distributed projection operator is developed to handle the inequality constraints in IESs. The simulation demonstrates the effectiveness of the distributed optimization approach.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Abdurrahim Toktas, Ugur Erkan, Suo Gao, Chanil Pak
Summary: This study proposes a novel image encryption scheme based on the Bessel map, which ensures the security and randomness of the ciphered images through the chaotic characteristics and complexity of the Bessel map.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Xinjie Fu, Jinrong Wang
Summary: In this paper, we establish an SAIQR epidemic network model and explore the global stability of the disease in both disease-free and endemic equilibria. We also consider the control of epidemic transmission through non-instantaneous impulsive vaccination and demonstrate the sustainability of the model. Finally, we validate the results through numerical simulations using a scale-free network.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
Article
Mathematics, Applied
Maria Han Veiga, Lorenzo Micalizzi, Davide Torlo
Summary: The paper focuses on the iterative discretization of weak formulations in the context of ODE problems. Several strategies to improve the accuracy of the method are proposed, and the method is combined with a Deferred Correction framework to introduce efficient p-adaptive modifications. Analytical and numerical results demonstrate the stability and computational efficiency of the modified methods.
APPLIED MATHEMATICS AND COMPUTATION
(2024)
