A Survey on Generalized Topological Indices for Silicon Carbide Structure by Sajid Mahboob Alam, Fahd Jarad, Abid Mahboob, Imran Siddique, Taner Altunok, Muhammad Waheed Rasheed

“…Let G be a graph with u-vertices and Ωu be the degree of uth vertex. In this manuscript, we compute Zagreb index (ZI), first, and second, Hyper F-indices and sum and product connectivity of F-index of silicon carbides, namely, SiC4 – I[r, s] and SiC4 – II[r, s].…”
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Frontostriatal Cognitive Staging in Parkinson's Disease by Raúl de la Fuente-Fernández

“…Executive dysfunction and mental fatigue (stage I), depression/anxiety (stage IIa), apathy/pain (stage IIb), and dementia (stage III) reflect a sequential process of dopamine depletion occurring in different regions of the striatum (stages I and II) and the frontal cortex (stage III). In addition to these nonmotor manifestations present in the unmedicated (OFF) state, the PDFCD model also predicts a number of complications related to dopaminergic treatment (ON state), from impulse control disorders (stages I and IIa) to hallucinations (stage IIb) and psychosis (stage III). …”
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4-REGULAR GRAPH OF DIAMETER 2 by Đỗ Như An, Nguyễn Đình Ái

“…A regular graph is a graph where each vertex has the same degree. A regular graph with vertices of degree k is called a k -regular graph or regular graph of degree k. …”
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ESYN:efficient synchronization clustering algorithm based on dynamic synchronization model by Xue-wen DONG, Chao YANG, Li-jie SHENG, Jian-feng MA

“…Clustering is an important research field in data mining.Based on dynamical synchronization model,an efficient synchronization clustering algorithm ESYN is proposed.Firstly,based on local structure information of a non-vector network,a new concept vertex similarity is brought up to describe the link density between vertices.Secondly,the network is vectoried by OPTICS algorithm and turned into one-dimensional coordination sequence.Finally,global coupling analysis is applied to generalized Kuramoto synchronization model,synchronization radius is increased and the optimal clustering result is automatically selected.The experimental results on a large number of synthetic and real-world networks show that proposed algorithm achieves high accuracy.…”
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Some Upper Bounds on the First General Zagreb Index by Muhammad Kamran Jamil, Aisha Javed, Ebenezer Bonyah, Iqra Zaman

“…The first general Zagreb index MγG or zeroth-order general Randić index of a graph G is defined as MγG=∑v∈Vdvγ where γ is any nonzero real number, dv is the degree of the vertex v and γ=2 gives the classical first Zagreb index. …”
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Determination of symmetry plane on human brain CT images by Darius Grigaitis, Mečys Meilūnas

“…Symmetry plane are calculated using vertex slices of human brain CT images. There are approximately 40 which has symmetry curve ``  `  Falx cerebri'' property. …”
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Semi-Fredholm Solvability in the Framework of Singular Solutions for the (3+1)-D Protter-Morawetz Problem by Nedyu Popivanov, Todor Popov, Allen Tesdall

“…This singularity is isolated at the vertex O of the boundary light characteristic cone and does not propagate along the bicharacteristics. …”
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Locating Edge Domination Number of Some Classes of Claw-Free Cubic Graphs by Muhammad Shoaib Sardar, Hamna Choudhry, Jia-Bao Liu

“…Let G=V;E be a simple graph with vertex set V and edge set E. In a graph G, a subset of edges denoted by M is referred to as an edge-dominating set of G if every edge that is not in M is incident to at least one member of M. …”
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The Atom-Bond Connectivity Index of Catacondensed Polyomino Graphs by Jinsong Chen, Jianping Liu, Qiaoliang Li

“…The atom-bond connectivity (ABC) index is defined as the sum of weights ((du+dv−2)/dudv)1/2 over all edges uv of G, where du denotes the degree of a vertex u of G. In this paper, we give the atom-bond connectivity index of the zigzag chain polyomino graphs. …”
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Theoretical Analysis of Superphenalene Using Different Kinds of VDB Indices by K. Julietraja, Ammar Alsinai, Abdu Alameri

“…The objective of this research is to compute the proper analytical expressions of four kinds of vertex degree-based (VDB) indices for superphenalene. …”
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Analysis of the Unsteady Flow Field in a Centrifugal Compressor from Peak Efficiency to Near Stall with Full-Annulus Simulations by Yannick Bousquet, Xavier Carbonneau, Guillaume Dufour, Nicolas Binder, Isabelle Trebinjac

“…At near stall operating point, vorticity from the separation is shed into vortex cores which are periodically formed and convected downstream along the suction side.…”
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Exploring the typhoon intensity forecasting through integrating AI weather forecasting with regional numerical weather model by Hongxiong Xu, Yang Zhao, Zhao Dajun, Yihong Duan, Xiangde Xu

“…To address these insufficiencies in typhoon intensity forecasting, we propose an attractive approach by initiating regional Weather Research and Forecasting (WRF) model with Pangu-weather, a state-of-the-art AI weather forecasting system (AI-Driven WRF), whose forecasting power can be further augmented by the implementation of dynamic vortex initialization. The results highlight limitations in Pangu-Weather’s capability to accurately forecast typhoon intensity. …”
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Investigation on the Influence of Design Parameters of Streamline Flow Tubes on Pump Performance by Kan Bian, Zhi Huang, Jietao Dai, Fan Zhang, Xiaosheng Chen, Zhenlin Chen, Liyi Lai, Jianhui Zhang

“…Studies have shown that the valveless piezoelectric pump with streamline flow tubes (VPPSFTs) can increase the flow rate while reducing the vortex, which has a broad application prospect and conforms to the huge potential demand in the fields of medical treatment, sanitation, and health care. …”
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Investigation of Structural Nonlinearity Effects on the Aeroelastic and Wake Characteristics of a 15 MW Wind Turbine by Zhenju Chuang, Lulin Xia, Yan Qu, Wenhua Li, Jiawen Li

“…Additionally, nonlinear deformations weaken the tip vortex strength, slow the momentum exchange in the wake region, reduce turbulence intensity, and delay wake recovery. …”
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Influence of External Jet on Hydraulic Performance and Flow Field Characteristics of Water Jet Propulsion Pump Device by Jinxin Wu, Li Cheng, Can Luo, Chuan Wang

“…The average velocity of the outlet section of the nozzle is consistent with the change of the total pressure. The average vortex gradually decreases, the turbulent kinetic energy changes little, the turbulence dissipation first decreases and then increases, and the nozzle axial force changes more and more. …”
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Evaluating the Combined Effects of Transverse Pitch Ratio and Flow Arrangement on the Thermo-Hydraulic Performance of a Novel Inclined Delta Winglet by Hüseyin Zahit Demirağ

“…The reversal in trend is entirely due to the positioning of the NIDW in the CFlowD orientation, which causes the vortex rotation centers to move further apart in the main flow direction, resulting in 4.36% and 4.02% higher Darcy friction factors in cases of Pt=0.333 and Pt=0.166, respectively compared to CFlowU configuration at Re=5000. …”
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The Seepage Model Considering Liquid/Solid Interaction in Confined Nanoscale Pores by Xiaona Cui, Erlong Yang, Kaoping Song, Yuming Wang

“…Based on the Navier-Stokes equation, the governing equation considered liquid/solid effect in two dimensions has been established, and approximate theoretical solutions to the governing equations have been achieved after mathematic simplification. By introducing the vortex equation, the complex numerical seepage model has been discretized and solved. …”
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Investigation on the influencing mechanism and quantitative evaluation of stirred heat effect in high-speed mechanical seals by Xuezhong Ma, Xiaoxin Xiao

“…Firstly, in terms of cooling flow, the cold fluid flow from sealed chamber into sealing gap is impeded by the high-speed shear effect of rotor outer sidewall, and a larger vortex namely a flow dead zone is generated at the spiral groove root due to the turbulent flow regime, which significantly impede the cooling level of fluid film and sealing end faces. …”
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Characteristics of Flow Field around Double Rectangular Piersin Tandem Based on RNG k-ε Turbulence Model by DING Anna

“…Double rectangular piers in tandem have been widely used in bridge engineering,and the distance between the two piers has a significant impact on the characteristics of the flow field around them.This paper utilized the Fluent software to simulate the unsteady instantaneous flow field around a single rectangular pier and double rectangular piers in tandem by using the RNG k-ε turbulence model.The distribution characteristics of the flow field around the double rectangular piers in tandem at different distances (L/W=2,4,6) between the two piers were studied from the aspects of vorticity,streamline,pressure and transverse velocity.The results show that compared with that of the single rectangular pier,the fluid flow around the double rectangular piers in tandem is more complex and has wider lateral distributions of wake vortex and streamline bending zone.The generation,separation and reattachment of the shear layer of the two piers are affected by pier spacing.When L/W≥4,vortices are generated and fall off in the wake at the upstream pier.In such a case,the streamline bending zone,pressure increase zone and pressure decrease zone are formed between the two piers,and multiple pressure decrease zones are formed in the wake at the downstream pier.The transverse velocity of wakes at rectangular piers fluctuates between positive and negative.Compared with the single and symmetrical velocity waveform of the single pier,the transverse velocity waveform of the double rectangular piers is no longer symmetrically distributed.The peak transverse velocity between the two piers decreases with the increase in pier spacing,and the fluctuating peak values on both sides of the two piers are higher than those of the single pier.The fluctuating peak values are lower at a farther distance from the pier centerline.The research results can provide a reference for pier layout in bridge engineering.…”
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Numerical Study on Wind-Induced Noise of High-Rise Building Curtain Wall with Outside Shading Devices by Wei Xu, Feng Xu

“…When air flow passes through these holes at a high speed, complex vortex is generated and causes a significant issue of wind-induced noise. …”
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