Network Optimization, Design and Exploration

Contact
Nathan Albin
Kansas State University
Department of Mathematics
138 Cardwell Hall
1228 N. 17th Street
Manhattan, KS 66506

email: albin@math.ksu.edu

Publications

Download BibTeX.

Fairest edge usage and minimum expected overlap for random spanning trees.
Nathan Albin, Jason Clemens, Derek Hoare, Pietro Poggi-Corradini, Brandon Sit, and Sarah Tymochko.
preprint, (2019), .
[arxiv]
Modulus metrics on networks.
Nathan Albin, Nethali Fernando, and Pietro Poggi-Corradini.
Discrete \& Continuous Dynamical Systems - B 24(1), 24 (2019), 1--17.
[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 198 (2018), 973--999.
[arxiv] [doi]
Infinity modulus and the essential metric.
Nathan Albin, Jared Hoppis, Pietro Poggi-Corradini, and Nageswari Shanmugalingam.
Journal of Mathematical Analysis and Applications 467(1), 467 (2018), 570--584.
[arxiv] [doi]
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), 127--138.
[doi]
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.
Open problems and new directions for p-modulus on networks.
Nathan Albin and Pietro Poggi-Corradini.
Geometric Function Theory in Higher Dimension, (2017), 129--141.
[doi]
Modulus of families of walks on graphs.
Nathan Albin, Pietro Poggi-Corradini, Faryad Darabi Sahneh, and Max Goering.
Proceedings of Complex Analysis and Dynamical Systems VII (Contemporary Mathematics), 699 (2017), 35--56. 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.
[arxiv]
Minimal subfamilies and the probabilistic interpretation for modulus on graphs.
N. Albin and P. Poggi-Corradini.
Journal of Analysis, (2016), 1--26.
[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), 307--318.
Numerical Investigation of Metrics for Epidemic Processes on Graphs.
M. Goering, N. Albin, F. Sahneh, C. Scoglio, and P. Poggi-Corradini.
2015 49\textsuperscriptth Asilomar Conference on Signals, Systems and Computers, November (2015), 1317--1322.
[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.
[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.
Effective resistance on graphs and the epidemic quasimetric.
J. Ericson, P. Poggi-Corradini, and H. Zhang.
Involve 7(1), 7 (2014), 97--124.