Maximal resolving sets in a graph by V. Swaminathan, R. Sundareswaran

“…A subset [Formula: see text] of [Formula: see text] is called a resolving set of G if the code of any vertex [Formula: see text] with respect to S is different from the code of any other vertex where code of u with respect to S denoted by [Formula: see text] is defined as [Formula: see text]. …”
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Eternal Domination of Generalized Petersen Graph by Ramy Shaheen, Ali Kassem

“…An eternal dominating set of a graph G is a set of guards distributed on the vertices of a dominating set so that each vertex can be occupied by one guard only. These guards can defend any infinite series of attacks; an attack is defended by moving one guard along an edge from its position to the attacked vertex. …”
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Study on the Dispersion of Radionuclides under Different Hydrological Conditions of Spent Fuel Shipping in Daya Bay by Liwei Chen, Weihua Chen, Jiazhen Lin, Chunhua Chen, Yalin Luo, Longlong Tao

“…In addition to limiting the diffusion range, the vortex effect can also cause the accumulation of radionuclides near the vortex, which helps to provide more practical information for nuclear emergency decision makers.…”
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Retracted: Design and Performance Evaluation of OAM-Antennas: A Comparative Review by Omar A. Saraereh

“…When propagating, the vortex electromagnetic wave has a spiral phase wavefront structure, and its many OAM modes are orthogonal to one another. …”
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Numerical study on the effect of rim seal slot filleting on turbine endwall cooling by Xinchun Li, Na Wei, Liuliu Shi, Eryun Chen

“…Eventually, pressure-side leg horseshoe vortex is weakened and the performance of the film cooling is improved. …”
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Heat Transfer Potentiality and Flow Behavior in a Square Duct Fitted with Double-Inclined Baffles: A Numerical Analysis by Amnart Boonloi, Withada Jedsadaratanachai

“…As the numerical results, it is seen that the DIB produces the vortex streams and impinging streams in all cases. …”
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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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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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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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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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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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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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