====== NODE Resources ======

Welcome to the shared reading and research resource space. This area is open for all group members to share interesting journal articles, notes, and resources. 



===== How to Add a New Resource =====
To add a new page for an article or topic, simply add a link to the appropriate category below, save this page, and then click the new red link to start writing. See [[https://www.noderesearch.com/doku.php?id=wiki:syntax|syntax]] for Wiki syntax.



===== General Literature & Resources =====
Interesting journal articles, recommended textbooks, and other resources.

Mathematics of Networks: Modulus Theory and Convex Optimization - [[https://www.amazon.com/Mathematics-Networks-Modulus-Theory-Optimization-ebook/dp/B0FDT5B53G|book]]



===== Computational Tools & Scripts =====
Share useful code snippets, link to external resources, or create dedicated pages for larger scripts and documentation.

[[https://nathan-albin.github.io/modulus_book/Introduction.html|The Modulus Book]] - A collection of modulus-related software tools.


===== Group Publications =====
A running list of publications that resulted from the work of NODE group. 

'' **On the Sharp Lower Bound for Duality of Modulus.**, Sylvester Eriksson-Bique and Pietro Poggi-Corradini. Proc. Amer. Math. Soc. 150 (2022), 2955-2968. [[https://doi.org/10.1090/proc/15951|DOI]] [[https://arxiv.org/pdf/2102.03035.pdf|Arxiv]]''

'' **Fairest edge usage and minimum expected overlap for random trees.**, Nathan Albin, Jason Clemens, Derek Hoare, Pietro Poggi-Corradini, Brandon Sit, and Sarah Tymochko. Discrete Mathematics. Volume 344, Issue 5 (2021), 112282. [[https://doi.org/10.1016/j.disc.2020.112282|DOI]] [[https://arxiv.org/abs/1805.10112|Arxiv]]''

'' **New methods for incorporating network cyclic structures to community detection.**, Behnaz Moradijamei, Heman Shakeri, and Mike Higgins. Physica A: Statistical Mechanics and its Applications, Vol. 561 (2020). [[https://doi.org/10.1016/j.physa.2020.125116|DOI]] [[https://arxiv.org/pdf/1805.07484.pdf|Arxiv]]''

'' **Spanning tree modulus for secure broadcast games.**, Nathan Albin, Kapila Kottegoda, and Pietro Poggi-Corradini. Networks. Vol. 76, n. 3 (2020), Pages 350-365. [[https://doi.org/10.1002/net.21945|DOI]] [[https://arxiv.org/pdf/1904.03962.pdf|Arxiv]]''

'' **Designing optimal multiplex networks for certain Laplacian spectral properties.**, H. Shakeri, A. Tavassoli, E. Ardjmand, and Pietro Poggi-Corradini. Physical Review E, Vol 102, n. 2 (2020). [[https://doi.org/10.1103/PhysRevE.102.022302|DOI]] [[https://arxiv.org/abs/1903.01073|Arxiv]]''

'' **The Rickman-Picard Theorem.**, Mario Bonk and Pietro Poggi-Corradini. Annales Acad. Sci. Fennicae 44 (2019), 615-633. [[https://doi.org/10.5186/aasfm.2019.4446|DOI]] [[https://arxiv.org/pdf/1807.07683.pdf|Arxiv]]''

'' **Modulus metrics on networks.**, Nathan Albin, Nethali Fernando, and Pietro Poggi-Corradini. Discrete & Continuous Dynamical Systems - B 24(1), 24 (2019). [[https://doi.org/10.3934/dcdsb.2018161|DOI]]''

'' **Blocking duality for p-modulus on networks and applications.**, Nathan Albin, Jason Clemens, Nethali Fernando, and Pietro Poggi-Corradini. Annali di Matematica Pura ed Applicata (1923-) 198(3), November (2018), 973--999. [[https://doi.org/10.1007/s10231-018-0806-0|DOI]] [[https://arxiv.org/abs/1612.00435|Arxiv]]''

'' **Infinity modulus and the essential metric.**, Nathan Albin, Jared Hoppis, Pietro Poggi-Corradini, and Nageswari Shanmugalingam. Journal of Mathematical Analysis and Applications 467(1), 46 (2018) 570--584. [[https://doi.org/10.1016/j.jmaa.2018.07.028|DOI]] [[https://arxiv.org/abs/1802.03132|Arxiv]]''

'' **Generalization of effective conductance centrality for egonetworks.**, Heman Shakeri, Behnaz Moradi-Jamei, Pietro Poggi-Corradini, Nathan Albin, and Caterina Scoglio. Physica A: Statistical Mechanics and its Applications, 511 (2018). [[https://doi.org/10.1016/j.physa.2018.07.039|DOI]] [[https://arxiv.org/pdf/1705.02703.pdf|Arxiv]]''

'' **Network clustering and community detection using modulus of families of loops.**, Heman Shakeri, Pietro Poggi-Corradini, Nathan Albin, and Caterina Scoglio. Phys. Rev. E, January 95 (2017), 012316. [[https://doi.org/10.1103/PhysRevE.95.012316|DOI]] [[https://arxiv.org/pdf/1609.00461.pdf|Arxiv]]''

'' **Open problems and new directions for p-modulus on networks.**, Nathan Albin and Pietro Poggi-Corradini. Geometric Function Theory in Higher Dimension, (2017), 129. [[https://doi.org/10.1007/978-3-319-73126-1_10|DOI]]''

'' **Modulus of families of walks on graphs.**, Nathan Albin, Pietro Poggi-Corradini, Faryad Darabi Sahneh, and M. Goering. Proceedings of Complex Analysis and Dynamical Systems VII (Contemporary Mathematics), 699 (2017), 35--56. [[https://arxiv.org/abs/arXiv:1401.7640|Arxiv]]''

'' **Maximizing algebraic connectivity in interconnected networks.**, H. Shakeri, N. Albin, F. Sahneh, P. Poggi-Corradini, and C. Scoglio. Physical Review E, March 93 (2016), 030301. [[https://doi.org/10.1103/PhysRevE.93.030301|DOI]] [[https://arxiv.org/pdf/1510.06785.pdf|Arxiv]]''

'' **Minimal subfamilies and the probabilistic interpretation for modulus on graphs.**, N. Albin and P. Poggi-Corradini. Journal of Analysis, (2016), 1--26. [[https://doi.org/10.1007/s41478-016-0002-9|DOI]] [[https://arxiv.org/abs/1605.08462|Arxiv]]''

'' **Generalized network measures based on modulus of families of walks.**, H. Shakeri, P. Poggi-Corradini, C. Scoglio, and N. Albin. Journal of Computational and Applied Mathematics, 307 (2016) 316-318. [[https://doi.org/10.1016/j.cam.2016.01.027|DOI]]''

'' **Numerical Investigation of Metrics for Epidemic Processes on Networks.**, M. Goering, N. Albin, F. Sahneh, C. Scoglio, and P. Poggi-Corradini. 2015 49th Asilomar Conference on Signals, Systems and Computers, November (2015), 1317--1322. [[https://doi.org/10.1109/ACSSC.2015.7421356|DOI]] [[https://arxiv.org/abs/1511.07893|Arxiv]]''

'' **Modulus on graphs as a generalization of standard graph theoretic quantities.**, Nathan Albin, Megan Brunner, Roberto Perez, Pietro Poggi-Corradini, and Natalie Wiens. Conformal Geometry and Dynamics, 19 (2015), 298--317. [[https://doi.org/10.1090/ecgd/287|DOI]] [[https://arxiv.org/abs/1504.02418|Arxiv]]''

'' **Optimal information dissemination strategy to promote preventive behaviors in multilayer epidemic networks.**, Heman Shakeri, Faryad Darabi Sahneh, Caterina Scoglio, Pietro Poggi-Corradini, and Victor M. Preciado. Math. Biosci. Eng. 12(3), 12 (2015), 609--623. [[https://doi.org/10.3934/mbe.2015.12.609|DOI]]''

'' **Effective resistance on graphs and the epidemic quasimetric.**, J. Ericson, P. Poggi-Corradini, and H. Zhang. Involve 7(1), 7 (2014), 97--124.''