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Research Interest Overview

Research Interest Overview. Title: Detection of substructure in graphs and networks Problem: Given a network assumed to follow a given model, can we identify unusual or interesting substructure? Random graph model of a network Subgraph description of substructure

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Research Interest Overview

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  1. Research Interest Overview • Title: Detection of substructure in graphs and networks • Problem: Given a network assumed to follow a given model, can we identify unusual or interesting substructure? • Random graph model of a network • Subgraph description of substructure • Formulations of likelihood of “interestingness” of substructure

  2. H = copies of Specific Example • Erdős–Rényi graphs • Substructure symmetry yields variance • Instance network and variance informs likelihood Instance ofG(n,p) Probability E [XH] = 11.25 6 … XH Variance of XH = 14.22

  3. Areas of Possible Collaboration • Areas where you can help • Mathematics underlying discrete network models • Probabilistic methods applied to graphs • Areas where you need help • Identifying important problems in networks • Seeking interdisciplinary grant opportunities • Networks and Optimization Seminar • Monday 12:45pm, E1 106 • Faculty AM: 3 CAEE: 1 CS: 2 ECE: 8 SSB: 3Feb 2: Zongzhi Li, CAEE (Optimizing transportation)Feb 9: Yong Fu, ECE (Electrical grids) Feb 16: Sanjiv Kapoor, CS (Resource allocation) 30 Seconds 10 Seconds

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