Apex Graphs and Cographs by Jagdeep Singh, Vaidy Sivaraman, Thomas Zaslavsky

“…A graph is an apex cograph if it contains a vertex whose deletion results in a cograph. Cographs are precisely the graphs that do not have the 4-vertex path as an induced subgraph. …”
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Resting-state functional connectivity between the frontoparietal network and the default mode network is aberrantly increased in ankylosing spondylitis by Dong Liu, Churong Lin, Budian Liu, Yanli Zhang, Yutong Jiang, Jieruo Gu, Ou Jin

“…The frontoparietal network (FPN) is known as a pain modulation hub, with key nodes dorsolateral prefrontal cortex (dlPFC) and ventrolateral prefrontal cortex (vlPFC) participating in the pain modulation and reappraisal process. …”
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Brain plasticity associated with prolonged shooting training: a multimodal neuroimaging investigation from a cross-sectional study by Keying Zhang, Tao Zhao, Yu Ding, Jia Cheng, Chunmei Cao

“…Male elite shooters also showed higher cortical thickness in the right inferior temporal lobe; lower fractional anisotropy (FA) values in the right superior longitudinal fasciculus (SLF), right inferior fronto-occipital fasciculus (IFF), and right anterior thalamic radiation (ATR); lower axial diffusivity (AD) value in forceps minor and left ATR; and lower structural connectivity between right putamen and right inferior parietal cortex (IPC), right IPC and right paracentral cortex, and right paracentral cortex and right superior parietal cortex (SPC).ConclusionElite male shooters exhibited optimized resting-state functional activity, functional connectivity, and morphological features compared to normal controls. …”
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Colored HOMFLY Polynomials as Multiple Sums over Paths or Standard Young Tableaux by A. Anokhina, A. Mironov, A. Morozov, And. Morozov

“…If R is the fundamental representation R=[1]=□, then M□Q is equal to the number of paths in representation graph, which lead from the fundamental vertex □ to the vertex Q. In the basis of paths the entries of the m-1 relevant ℛ^-matrices are associated with the pairs of paths and are nonvanishing only when the two paths either coincide or differ by at most one vertex, as a corollary ℛ^-matrices consist of just 1×1 and 2×2 blocks, given by very simple explicit expressions. …”
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Connectivity Index in Vague Graphs with Application in Construction by Huiqin Jiang, Yongsheng Rao

“…Also, one of the motives of this research is to introduce some special types of vertices such as vague connectivity enhancing vertex, vague connectivity reducing vertex, and vague connectivity neutral vertex with their properties. …”
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The Merrifield-Simmons Index and Hosoya Index of C(n,k,λ) Graphs by Shaojun Dai, Ruihai Zhang

“…The Merrifield-Simmons index i(G) of a graph G is defined as the number of subsets of the vertex set, in which any two vertices are nonadjacent, that is, the number of independent vertex sets of G The Hosoya index z(G) of a graph G is defined as the total number of independent edge subsets, that is, the total number of its matchings. …”
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Study on the Effect of Deep Eutectic Solvent Liquid Phase Microextraction on Quality Standard, Antitussive, and Expectorant of Sangbaipi Decoction by Lijing Li, Yuejie Wang, Fangxin Liu, Yang Xu, Huiwei Bao

“…The volume ratio of DES to THF was 1200 : 800 (μL), the vortex time was 3 min, and the extraction was repeated two times. …”
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Study on aerodynamic drag and noise reduction of high-speed pantograph with streamwise holes by Tian Li, Deng Qin, Xiang Kan, Jiye Zhang

“…The analysis of the aerodynamic force, fluctuating pressure, turbulent kinetic energy and vortex structure of the panhead with or without streamwise holes shows that the panhead with holes has lower aerodynamic drag and noise level. …”
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Analytical Simulation of 3D Wind-Induced Vibrations of Rectangular Tall Buildings in Time Domain by Iván F Huergo, Hugo Hernández-Barrios, Roberto Gómez-Martíne

“…However, both across-wind and torsional-wind loads due to vortex shedding are not usually simulated in time domain because the vertical decay constants are unknown or the empirical coherence functions cannot be applied in Monte Carlo simulation methods. …”
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Enhanced aerodynamic performance of NACA4412 airfoil through integrated plasma actuator and Gurney flap flow control by K.V. Karthikeyan, R. Harish

“…The study also visualizes vortex formation around the gurney flap, noting that increased vortex activity reduces flow separation. …”
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Numerical Analysis on Steam Exciting Force Caused by Rotor Eccentricity by L. H. Cao, J. X. Wang, P. Li, P. F. Hu, Y. Li

“…The effects of leakage vortexes, the depth-width ratio of seal cavity, and the eccentricity on the steam exciting force were studied. …”
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Sufficient Conditions for Graphs to Be k-Connected, Maximally Connected, and Super-Connected by Zhen-Mu Hong, Zheng-Jiang Xia, Fuyuan Chen, Lutz Volkmann

“…Let G be a connected graph with minimum degree δG and vertex-connectivity κG. The graph G is k-connected if κG≥k, maximally connected if κG=δG, and super-connected if every minimum vertex-cut isolates a vertex of minimum degree. …”
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Personalised transcranial magnetic stimulation for treatment-resistant depression, depression with comorbid anxiety and negative symptoms of schizophrenia: a narrative review by Xiao Wei Tan, Hasvinjit Kaur Gulwant Singh, Jovi Zheng Jie Koh, Rachel Si Yun Tan, Phern Chern Tor

“…Recent retrospective brain circuit-based analyses using lesion network mapping have suggested that a left dorsal lateral prefrontal cortex target has a higher efficacy for alleviating depression symptoms, a dorsomedial prefrontal cortex target is more effective for anxiety symptoms, and a rostromedial prefrontal cortex target is effective for schizophrenia-associated psychiatric symptoms. …”
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A Note on the Minimum Wiener Polarity Index of Trees with a Given Number of Vertices and Segments or Branching Vertices by Sadia Noureen, Akhlaq Ahmad Bhatti, Akbar Ali

“…The Wiener polarity index of a graph G, usually denoted by WpG, is defined as the number of unordered pairs of those vertices of G that are at distance 3. A vertex of a tree with degree at least 3 is called a branching vertex. …”
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Experimental Studies of Active and Passive Flow Control Techniques Applied in a Twin Air-Intake by Akshoy Ranjan Paul, Shrey Joshi, Aman Jindal, Shivam P. Maurya, Anuj Jain

“…It presents an effective design of a vortex generator jet (VGJ) and a vane-type passive vortex generator (VG) and uses them in twin air-intake duct in different combinations to establish their effectiveness in improving the performance characteristics. …”
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Numerical Study on the Drag Reduction for a D-Shaped Bluff Body with Wavy Trailing Edge Structures by H. Yang, D. Luo, T. Wang

“…This improvement was evident in the reduction in vortex scales, enhancement of instability characteristics in separated shear layers, and effective suppression of periodic vortex shedding.…”
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Thermal Performance Augmentation of Double-Pipe Heat Exchanger-A Critical Review by Md Atiqur Rahman

“…These methods are summarized under surface modification (like dimples, vortex generators, and protrusion), inserts (like twisted tapes and helical coil), and extended surfaces (like fins and baffles). …”
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Advancements in mathematical modeling and numerical simulation: Immersed boundary method for Navier-Stokes equations applied to stationary and rotating isothermal cylinders by Rômulo Damasclin Chaves dos Santos, Jorge Henrique de Oliveira Sales

“…This pressure distribution is strongly affected by vortex formation and detachment, thereby validating the methodology. …”
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Influence of Balance Hole Diameter on Leakage Flow of the Balance Chamber in a Centrifugal Pump by Wei Dong, Diyi Chen, Jian Sun, Yan Dong, Zhenbiao Yang, Junle Yan

“…The liquid flow rate and vortex distribution rules in the balance chamber were mainly associated with the coeffect of radial leakage flow in the rear sealing ring interval and the axial balance hole leakage flow. …”
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Visualization of Flow Field: Application of PLIF Technique by Jiang Bo Peng, Ze Fang Lv, Xin Yu, Song He Meng, Hao Dong, Fan Deng, Lin Chen, De Ying Chen, Rong Wei Fan, Zhi Wei Dong, Xu Dong Li

“…This experiment studied the method of injecting tracer into the flow field; the frequency of the vortex in the wake field and the vortex speed are quantitatively analyzed. …”
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