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@Article{achppcst,
  author    = {Nathan Albin and Jason Clemens and Derek Hoare and Pietro Poggi-Corradini and Brandon Sit and Sarah Tymochko},
  title     = {Fairest edge usage and minimum expected overlap for random spanning trees},
  journal   = {preprint},
  year      = {2019},
  arxiv_url = {http://arxiv.org/abs/1805.10112},
}

@Article{ahpcs,
  author    = {Nathan Albin and Jared Hoppis and Pietro Poggi-Corradini and Nageswari Shanmugalingam},
  title     = {Infinity modulus and the essential metric},
  journal   = {Journal of Mathematical Analysis and Applications},
  year      = {2018},
  volume    = {467},
  number    = {1},
  pages     = {570--584},
  issn      = {0022-247X},
  arxiv_url = {http://arxiv.org/abs/1802.03132},
  doi_url   = {https://doi.org/10.1016/j.jmaa.2018.07.028},
  url       = {http://www.sciencedirect.com/science/article/pii/S0022247X18306103},
}

@Article{smapcs,
  author  = {Heman Shakeri and Behnaz Moradi-Jamei and Pietro Poggi-Corradini and Nathan Albin and Caterina Scoglio},
  title   = {Generalization of effective conductance centrality for egonetworks},
  journal = {Physica A: Statistical Mechanics and its Applications},
  year    = {2018},
  volume  = {511},
  pages   = {127--138},
  issn    = {0378-4371},
  doi_url = {https://doi.org/10.1016/j.physa.2018.07.039},
  url     = {http://www.sciencedirect.com/science/article/pii/S0378437118309117},
}

@inproceedings {apc,
  author    = {Nathan Albin and Pietro Poggi-Corradini},
  title     = {Open problems and new directions for p-modulus on networks},
  booktitle = {Geometric Function Theory in Higher Dimension},
  publisher = {Springer},
  year      = {2017},
  month     = {},
  editor    = {Bracci, Filippo},
  pages     = {129--141},
  doi       = {10.1007/978-3-319-73126-1_10},
  doi_url   = {http://doi.org/10.1007/978-3-319-73126-1_10},
}

@article {afpc,
  author    = {Nathan Albin and Nethali Fernando and Pietro Poggi-Corradini},
  title     = {Modulus metrics on networks},
  journal   = {Discrete \& Continuous Dynamical Systems - B},
  year      = {2019},
  month     = {},
  volume    = {24},
  number    = {1},
  pages     = {1--17},
  issn      = {1531-3492},
  doi       = {10.3934/dcdsb.2018161},
  publisher = {American Institute of Mathematical Sciences ({AIMS})},
  url       = {http://aimsciences.org//article/id/e84e04ba-e6fc-493f-8b82-eb1a2f7dfa6b},
  doi_url   = {http://doi.org/10.3934/dcdsb.2018161},
}

@Article{acfpc,
  author    = {Nathan Albin and Jason Clemens and Nethali Fernando and Pietro Poggi-Corradini},
  title     = {Blocking duality for p-modulus on networks and applications},
  journal   = {Annali di Matematica Pura ed Applicata (1923 -)},
  year      = {2018},
  volume    = {198},
  number    = {3},
  pages     = {973--999},
  month     = nov,
  arxiv_url = {http://arxiv.org/abs/1612.00435},
  doi       = {10.1007/s10231-018-0806-0},
  doi_url   = {http://doi.org/10.1007/s10231-018-0806-0},
  publisher = {Springer Science and Business Media {LLC}},
}

@Article{spcas:PRE2017,
  author    = {Shakeri, Heman and Poggi-Corradini, Pietro and Albin, Nathan and Scoglio, Caterina},
  title     = {Network clustering and community detection using modulus of families of loops},
  journal   = {Phys. Rev. E},
  year      = {2017},
  volume    = {95},
  pages     = {012316},
  month     = jan,
  doi       = {10.1103/PhysRevE.95.012316},
  issue     = {1},
  numpages  = {7},
  publisher = {American Physical Society},
}

@Article{AP2016,
  author    = {Albin, N. and Poggi-Corradini, P.},
  title     = {Minimal subfamilies and the probabilistic interpretation for modulus on graphs},
  journal   = {Journal of Analysis},
  year      = {2016},
  pages     = {1--26},
  issn      = {2367-2501},
  arxiv_url = {http://arxiv.org/abs/1605.08462},
  doi       = {10.1007/s41478-016-0002-9},
}

@Article{ABPPW2015,
  author    = {Nathan Albin and Megan Brunner and Roberto Perez and Pietro Poggi-Corradini and Natalie Wiens},
  title     = {Modulus on graphs as a generalization of standard graph theoretic quantities},
  journal   = {Conformal Geometry and Dynamics},
  year      = {2015},
  volume    = {19},
  pages     = {298--317},
  arxiv_url = {http://arxiv.org/abs/1504.02418},
  url       = {http://www.ams.org/journals/ecgd/2015-19-13/S1088-4173-2015-00287-8/},
}

@INPROCEEDINGS{APDM2016,
  author    = {Nathan Albin and Pietro Poggi-Corradini and Darabi Sahneh, Faryad and Max Goering},
  title     = {Modulus of families of walks on graphs},
  booktitle = {Proceedings of Complex Analysis and Dynamical Systems VII},
  year      = {2017},
  month     = {},
  editor    = {Mark L. Agranovsky and Matania Ben-Artzi and Catherine B\'{e}n\'{e}teau and Lavi Karp and Dmitry Khavinson and Simeon Reich and David Shoikhet and Gilbert Weinstein and Lawrence Zalcman},
  volume    = {699},
  series    = {Contemporary Mathematics},
  pages     = {35--56},
  note      = {arXiv:1401.7640},
  arxiv_url = {http://arxiv.org/abs/arXiv:1401.7640}
}

@Article{EPZ2014,
  author  = {J. Ericson and P. Poggi-Corradini and H. Zhang},
  title   = {Effective resistance on graphs and the epidemic quasimetric},
  journal = {Involve},
  year    = {2014},
  volume  = {7},
  number  = {1},
  pages   = {97--124},
}

@Article{SPSA,
  author  = {Shakeri, H. and Poggi-Corradini, P. and Scoglio, C. and Albin, N.},
  title   = {Generalized network measures based on modulus of families of walks},
  journal = {Journal of Computational and Applied Mathematics},
  year    = {2016},
  volume  = {307},
  pages   = {307--318},
  doi     = {10.1016/j.cam.2016.01.027},
}

@Article{SASPS,
  author    = {Shakeri, H. and Albin, N. and Sahneh, F. and Poggi-Corradini, P. and Scoglio, C.},
  title     = {Maximizing algebraic connectivity in interconnected networks},
  journal   = {Physical Review E},
  year      = {2016},
  volume    = {93},
  pages     = {030301},
  month     = mar,
  arxiv_url = {https://arxiv.org/pdf/1510.06785.pdf},
  doi       = {10.1103/PhysRevE.93.030301},
  issue     = {3},
  numpages  = {6},
  publisher = {American Physical Society},
}

@InProceedings{GASSP,
  author    = {Goering, M. and Albin, N. and Sahneh, F. and Scoglio, C. and Poggi-Corradini, P.},
  title     = {Numerical Investigation of Metrics for Epidemic Processes on Graphs},
  booktitle = {2015 49\textsuperscript{th} Asilomar Conference on Signals, Systems and Computers},
  year      = {2015},
  pages     = {1317--1322},
  month     = nov,
  arxiv_url = {https://arxiv.org/abs/1511.07893},
  doi       = {10.1109/ACSSC.2015.7421356},
}

@Article{SSSPP2015,
  author   = {Shakeri, Heman and Sahneh, Faryad Darabi and Scoglio, Caterina and Poggi-Corradini, Pietro and Preciado, Victor M.},
  title    = {Optimal information dissemination strategy to promote preventive behaviors in multilayer epidemic networks},
  journal  = {Math. Biosci. Eng.},
  year     = {2015},
  volume   = {12},
  number   = {3},
  pages    = {609--623},
  issn     = {1547-1063},
  doi      = {10.3934/mbe.2015.12.609},
  fjournal = {Mathematical Biosciences and Engineering. MBE},
  mrclass  = {92D30},
  mrnumber = {3311727},
}

@Comment{jabref-meta: databaseType:bibtex;}