Explanipedia

A Multi-objective Control Method for Structural Static Displacement Based on Projection Parameters Sorting Method Open

Kai Ma, Yubin Gao, Yan Tao, Wentao Wang, S. M. Wu · 2025

In the field of structural optimization, reasonable selection of parameters and obtaining optimized solutions are key issues. This paper proposes a multi-objective optimization method for static displacement based on the Projection Paramet…

Lithium Isotope Separation by Electrodialysis [Translation] Open

Xiujun Shen, Zirun Jiang, Yuan Zhao, Gang Du, Xiaohong Cui , et al. · 2025

We use sulfo-membranes of polyvinylidene fluoride (F101) to investigate the separation of lithium isotopes by electrodialysis. This experiment utilizes the single-class depletion method and the total cation membrane multistage enrichment m…

Incidence Energy of k-Uniform Hypertrees Open

Yanjie Fu, Yubin Gao · 2024

For a square matrix M, its energy E(M) is the sum of its singular values. Let H be a k-uniform hypergraph, and let B(H) be the incidence matrix of H. The incidence energy BE(H) of H is the energy of B(H). Let T n,d be the set of k-uniform …

Minimum Wiener index of unicyclic chemical graphs with girth 3 Open

Junxiu Wu, Yubin Gao · 2023

The Wiener index of a connected graph G is defined as the sum of distances between all unordered pairs of vertices of G.It is one of the most-studied topological indices in mathematical chemistry.Determining the minimum Wiener index among …

On the minimum and second-minimum values of degree-based energies for trees Open

Yanjie Fu, Yubin Gao · 2023

Let G be a simple graph with the vertex set V (G) and edge set E(G).Let dG(vi) be the degree of the vertex vi ∈, where f is a real function with the property f (x, y) = f (y, x) ≥ 0. The (i, j)-th element aT I (i, j) of the general extende…

Mechanical Properties of Full-Grouted Prestressed Anchor Bolts under Typical Bed-Separation Conditions Open

Zhen Zhu, Fulu Shang, Yubin Gao, Zelin Lu, Peng Zhang , et al. · 2023

For tunnel-support engineering, the bed separation of surrounding rock has a great influence on the support performance of bolts. In order to reveal the mechanical properties of the full-grouted prestressed bolt under the influence of bed …

Extreme Sombor Spectral Radius of Unicyclic Graphs Open

Yinzhen Mei, Huifeng Fu, Hongli Miao, Yubin Gao · 2023

Let G be a graph, the Sombor matrix S(G) of G was recently introduced by Wang et al.It is a new matrix based on Sombor index, where the (i, j) entry Sij = d 2 i + d 2 j if vertices i and vertices j are adjacent in G, and Sij = 0 for other …

A review: strategies to reduce infection in tantalum and its derivative applied to implants Open

Xiao Ge, Ti Li, Miao Yu, Hongguang Zhu, Qing Wang , et al. · 2023

Implant-associated infection is the main reasons for implant failure. Titanium and titanium alloy are currently the most widely used implant materials. However, they have limited antibacterial performance. Therefore, enhancing the antibact…

New Bounds for the Generalized Distance Spectral Radius/Energy of Graphs Open

Yuzheng Ma, Yubin Gao, Yanling Shao · 2022

Let G be a simple connected graph with vertex set V G = v 1 , v 2 , … , v n and d v i be the degree of the vertex v i . Let D G be the distance matrix and T r G be the d…

Upper and Lower Bounds for the Spectral Radius of Generalized Reciprocal Distance Matrix of a Graph Open

Yuzheng Ma, Yubin Gao, Yanling Shao · 2022

For a connected graph G on n vertices, recall that the reciprocal distance signless Laplacian matrix of G is defined to be RQ(G)=RT(G)+RD(G), where RD(G) is the reciprocal distance matrix, RT(G)=diag(RT1,RT2,⋯,RTn) and RTi is the reciproca…

On Randić Energy of Coral Trees Open

Xuan Zhao, Yanling Shao, Yubin Gao · 2022

Let G be a simple and connected graph.A vertex v i is said to be pendent if d G (v i ) = 1, and its adjacent vertex is called a quasi-pendent vertex.Let T (n) be a set of trees of order n with at most two quasi-pendent vertices of degree l…

Reconstruction of Velocity Curve in Long Stroke and High Dynamic Range Laser Interferometry Open

Jin-Bao Feng, Jinhui Wu, Yu Si, Yubin Gao, Liu Ji , et al. · 2021

To study the law that governs the complex movements of the mechanism in the process of automatic weapon operation, the velocity tracking test technology of photon Doppler velocimetry is introduced to accurately measure velocity, displaceme…

On symmetric division deg index of unicyclic graphs and bicyclic graphs with given matching number Open

Xiaoling Sun, Yubin Gao, Jianwei Du · 2021

Nowadays, it is an important task to find extremal values on any molecular descriptor with respect to different graph parameters. In a molecular graph, the vertices represent the atoms and the edges represent the chemical bonds in the term…

Research on Extreme Signed Graphs with Minimal Energy in Tricyclic Signed Graphs S(n, n + 2) Open

Yajing Wang, Yubin Gao · 2020

A signed graph is acquired by attaching a sign to each edge of a simple graph, and the signed graphs have been widely used as significant computer models in the study of complex systems. The energy of a signed graph can be described as th…

Nordhaus–Gaddum-Type Relations for Arithmetic-Geometric Spectral Radius and Energy Open

Yajing Wang, Yubin Gao · 2020

Spectral graph theory plays an important role in engineering. Let be a simple graph of order with vertex set . For , the degree of the vertex , denoted by , is the number of the vertices adjacent to . The arithmetic-geometric adjacency m…

Fusion method for infrared and other-type images based on the multi-scale Gaussian filtering and morphological transform Open

Zhi-Jian Li, Fengbao Yang, Yubin Gao, Linna Ji, Hu Peng · 2020

On the Wiener Indices of Trees Ordering by Diameter‐Growing Transformation Relative to the Pendent Edges Open

Xiaoxin Xu, Yubin Gao, Yanbin Sang, Yueliang Liang · 2019

The Wiener index of a graph is defined as the sum of distances between all unordered pairs of its vertices. We found that finite steps of diameter‐growing transformation relative to vertices can not always enable the Wiener index of a tree…

Rogue Wave and Multiple Lump Solutions of the (2+1)‐Dimensional Benjamin‐Ono Equation in Fluid Mechanics Open

Zhonglong Zhao, Lingchao He, Yubin Gao · 2019

In this paper, the bilinear method is employed to investigate the rogue wave solutions and the rogue type multiple lump wave solutions of the (2+1)‐dimensional Benjamin‐Ono equation. Two theorems for constructing rogue wave solutions are p…

On a conjecture of the harmonic index and the minimum degree of graphs Open

Xiaoling Sun, Yubin Gao, Jianwei Du, Lan Xu · 2018

The harmonic index of a graph G is defined as the sum of the weights 2/ d(u)+d(v) of all edges uv of G, where d(u) denotes the degree of the vertex u in G. Cheng and Wang [4] proposed a conjecture: For all connected graphs G with n ? 4 ver…

Ultrasonic Al2O3 Ceramic Thermometry in High-Temperature Oxidation Environment Open

Yanlong Wei, Yubin Gao, Zhaoqian Xiao, Gao Wang, Miao Tian , et al. · 2016

In this study, an ultrasonic temperature measurement system was designed with Al2O3 high-temperature ceramic as an acoustic waveguide sensor and preliminarily tested in a high-temperature oxidation environment. The test results indicated t…

Essential sign change numbers of full signpattern matrices Open

Xiaofeng Chen, Wei Fang, Wei Gao, Yubin Gao, Guangming Jing , et al. · 2016

A sign pattern (matrix) is a matrix whose entries are from the set {+, −, 0} and a sign vector is a vector whose entries are from the set {+, −, 0}. A sign pattern or sign vector is full if it does not contain any zero entries. The minimum…

Potentially nilpotent tridiagonal sign patterns of order 4 Open

Yubin Gao, Yanling Shao · 2016

An $n\times n$ sign pattern ${\cal A}$ is said to be potentially nilpotent (PN) if there exists some nilpotent real matrix $B$ with sign pattern ${\cal A}$. In [M.~Arav, F.~Hall, Z.~Li, K.~Kaphle, and N.~Manzagol.Spectrally arbitrary tree …

An Image Compression Scheme Based on Fuzzy Neural Network Open

Bo Wang, Yubin Gao · 2015

Image compression technology is to compress the redundancy between the pixels to reduce the transmission broadband and storage space by using the correlation of the image pixels. Fuzzy neural network effectively integrates neural network t…

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