MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION.
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MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION.
OF EDUCATION TRAININGVIETNAM ACADEMY OF SCIENCE AND TECHNOLOGYGRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGYHoang Due AnhMODULARITY AND RANDOM WALKS IN MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. N COMMUNITY DETECTIONMajor: Applied MathematicsCode: 8 46 01 12MASTER’S THESIS IN MATHEMATICSADVISOR:Assoc. Prof. Dr. Sc. Phan Thi Ha DuongHanoi-20221Declaration1hereby declare that this thesis and the work presented in it arc the result of my ow study. Whenever the works of others arc involved, eve MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. ry effort has been made to give credit clearly, with due references to the literature. Ĩ confirm that this thesis has not been previously included inMODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION.
a thesis or dissertation submitted for a degree or any other qualification at this graduate university or any other institution. 1 take full responsibOF EDUCATION TRAININGVIETNAM ACADEMY OF SCIENCE AND TECHNOLOGYGRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGYHoang Due AnhMODULARITY AND RANDOM WALKS IN MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. Thi Ha Duong, who introduced me to network science and has provided me with support and guidance throughout my study. Her encouragement and enthusiasm for research have been a constant source of inspiration for me throughout the project.I would like to thank the researchers at the Institute of Math MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. ematics and the group Mathematical Foundation for Computer Science for having created a wonderful envi- ronment for young students like me. I also thaMODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION.
nk the lecturers and administrative staff at the Institute as well as the Graduate University of Science and Technology for their valuable lessons andOF EDUCATION TRAININGVIETNAM ACADEMY OF SCIENCE AND TECHNOLOGYGRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGYHoang Due AnhMODULARITY AND RANDOM WALKS IN MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. as supported by the Master, PhD Scholarship Programme of Vingroup Innovation Foundation (VINIF), Institute of Big Data, codes VINIF.2020.ThS.VTH.02 and VINIF.2021.ThS.VTH.08.3ContentsDeclaration1Acknowledgements2Contents3l ist of Figures5Introduction6Notations and conventions81NETWORKS AND COMMUNITI MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION. ES91.1On network science.................................. 91.2Community structure.................................101.3The topics of this thesis.....MODULARITY AND RANDOM WALKS IN COMMUNITY DETECTION.
......................152MODULARITY1(52.1Definition of modularity............................16OF EDUCATION TRAININGVIETNAM ACADEMY OF SCIENCE AND TECHNOLOGYGRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGYHoang Due AnhMODULARITY AND RANDOM WALKS INOF EDUCATION TRAININGVIETNAM ACADEMY OF SCIENCE AND TECHNOLOGYGRADUATE UNIVERSITY OF SCIENCE AND TECHNOLOGYHoang Due AnhMODULARITY AND RANDOM WALKS INGọi ngay
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