Optimal Network Reconfiguration and Scheduling With Hardware-in-the-Loop Validation for Improved Microgrid Resilience by Yang Chen, Mohammed Olama, Maximiliano F. Ferrari, Guodong Liu, Qingxin Shi, Aditya Sundararajan, Byungkwon Park, Arturo A. Massol-Deya, Thomas B. Ollis

“…The proposed optimization model aims at minimizing the total load shedding cost and other operational costs, in which linearized topological constraints borrowed from graph theory and linearized DistFlow models are respectively used to maintain the radial network topology and power flow balance after system contingencies. …”
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Reduced white matter integrity and disrupted brain network in children with type 2 and 3 spinal muscular atrophy by Huirong Nie, Shasha Lan, Huan Wang, Pei Xiang, Mengzhen Yan, Yang Fan, Wanqing Shen, Yijuan Li, Wen Tang, Zhiyun Yang, Yujian Liang, Yingqian Chen

“…The tract-based spatial statistics (TBSS) was used to assess white matter integrity and the structural network properties were calculated based on DTI white matter fiber tracking and the graph theory approach. A partial correlation was performed to explore the relationship between white matter parameters and clinical characteristics. …”
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Trojan-horse silk fibroin nanocarriers loaded with a re-call antigen to redirect immunity against cancer by Luca Mastracci, Patrizio Castagnola, Elia Bari, Francesca Ferrera, Tiziana Altosole, Sara Perteghella, Pierluigi Mauri, Rossana Rossi, Giulia Passignani, Martina Galati, Giuseppina Iliana Astone, Maddalena Mastrogiacomo, Daniela Fenoglio, Dario Di Silvestre, Maria Luisa Torre, Gilberto Filaci

“…Cancer dimensions/survival time were monitored, while, at the molecular level, system biology approaches based on graph theory and experimental proteomic data were performed.Results SFNs were efficiently in vitro uptaken by cancer and dendritic cells. …”
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The Singularity of the <i>K</i>₄ Homeomorphic Graph by Haicheng Ma

“…The singularity of graphs is of certain interest in graph theory and algebraic combinatorics. For positive integers <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><msub><mi>a</mi><mi>i</mi></msub><mo>≥</mo><mn>2</mn></mrow></semantics></math></inline-formula>, <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>i</mi><mo>=</mo><mn>1</mn><mo>,</mo><mn>2</mn><mo>,</mo><mo>…</mo><mo>,</mo><mn>6</mn></mrow></semantics></math></inline-formula>. …”
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Assessment and Optimization of Hydrological Connectivity for Effective Management of Water Resources in the Samian Watershed by Zeinab Hazbavi, Nazila Alaei

“…The assessment and optimization of the structural hydrological connectivity in the Samian Watershed were based on remote sensing, geographic information systems, graph theory, and binary theory. After constructing the hydrological network of the Samian Watershed, several connectivity indices were calculated to capture the internal complexity of the water flow transfer path network:River chain node ratio (β): Calculated to represent the degree of branching in the river networkActual bonding degree (γ): Determined to show the level of connectivity in the river networkIndex of Integration of Connectivity (IIC): Extracted based on binary theory using Conefor Sensinode 2.6 software to represent the overall connectivity of the transmission path networkProbability of Connectivity (PC): Also derived from binary theory to indicate the overall connectivity of the transmission path networkThe cost of water connection resistance was determined based on topographical, hydrological, and anthropogenic factors. 5 optimization levels were then defined according to the priority of optimization. …”
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New Degree-Based Topological Indices of Toroidal Polyhex Graph by Means of M-Polynomial by Farkhanda Afzal, Mohammad Zeeshan, Deeba Afzal, Sufian Munawar, Dhan Kumari Thapa, Alina Mirza

“…Graph theory is the principal field of mathematics. In this manuscript, we have discussed the toroidal polyhex graph. …”
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The Block Principal Pivoting Algorithm for the Linear Complementarity Problem with an M-Matrix by Xi-Ming Fang, Zhi-Jun Qiao, Heng-Jun Zhao

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