References#
Nathan Albin, Megan Brunner, Roberto Perez, Pietro Poggi-Corradini, and Natalie Wiens. Modulus on graphs as a generalization of standard graph theoretic quantities. Conformal Geometry and Dynamics, 19(13):298–317, 2015. URL: https://arxiv.org/abs/1504.02418, doi:10.1090/ecgd/287.
Nathan Albin, Jason Clemens, Nethali Fernando, and Pietro Poggi-Corradini. Blocking duality for p-modulus on networks and applications. Annali di Matematica Pura ed Applicata, 198(3):973–999, nov 2019. URL: https://arxiv.org/abs/1612.00435, doi:10.1007/s10231-018-0806-0.
Nathan Albin, Jason Clemens, Derek Hoare, Pietro Poggi-Corradini, Brandon Sit, and Sarah Tymochko. Fairest edge usage and minimum expected overlap for random spanning trees. 2018. URL: https://arxiv.org/abs/1805.10112.
Nathan Albin, Nethali Fernando, and Pietro Poggi-Corradini. Modulus metrics on networks. Discrete & Continuous Dynamical Systems - B, 2018. URL: http://aimsciences.org//article/id/e84e04ba-e6fc-493f-8b82-eb1a2f7dfa6b, doi:10.3934/dcdsb.2018161.
Nathan Albin and Pietro Poggi-Corradini. Minimal subfamilies and the probabilistic interpretation for modulus on graphs. The Journal of Analysis, 24(2):183–208, 2016. URL: https://arxiv.org/abs/1605.08462, doi:10.1007/s41478-016-0002-9.
Nathan Albin, Faryad Sahneh, Max Goering, and Pietro Poggi-Corradini. Modulus of families of walks on graphs. 2017. URL: https://arxiv.org/abs/1401.7640, doi:10.1090/conm/699/14080.
Sunil Chopra. On the spanning tree polyhedron. Operations Research Letters, 8(1):25–29, feb 1989. doi:10.1016/0167-6377(89)90029-1.
Heman Shakeri, Behnaz Moradi-Jamei, Pietro Poggi-Corradini, Nathan Albin, and Caterina Scoglio. Generalization of effective conductance centrality for egonetworks. Physica A: Statistical Mechanics and its Applications, 511:127–138, 2018. doi:https://doi.org/10.1016/j.physa.2018.07.039.
Heman Shakeri, Pietro Poggi-Corradini, Nathan Albin, and Caterina Scoglio. Network clustering and community detection using modulus of families of loops. Physical Review E, 95(1):012316, 2017. doi:10.1103/PhysRevE.95.012316.
Heman Shakeri, Pietro Poggi-Corradini, Caterina Scoglio, and Nathan Albin. Generalized network measures based on modulus of families of walks. Journal of Computational and Applied Mathematics, 307:307–318, 2016. doi:10.1016/j.cam.2016.01.027.