Bryan Ek's Articles
Last Update: April 16th, 2018
Here are all of my articles that I have seen fit to let see the light of day.
Bryan Ek, Unimodal Polynomials and Lattice Walk Enumeration with Experimental Mathematics
Template taken from Dr. Zeilberger
Submitted to Rutgers University to fulfill the dissertation requirement of a doctoral degree.
Bryan Ek, Lattice Walk Enumeration, Journal of Integer Sequences
Bryan Ek, q-Binomials and related symmetric unimodal polynomials, Journal of Difference Equations and Applications
E. Carter, B. Ek, D. Gonzalez, R. Florez, and D. A. Narayan, "Intersecting Geodesics and Centrality in Graphs", Involve: a journal of mathematics. (Accepted January 20th 2018)
M. Bhattacharya, B. Rodenburg, W. Wetzel, B. Ek, A.K. JHA, "Effects of photon scattering torque in off-axis levitated torsional cavity optomechanics", Journal of the Optical Society of America B, Volume 34, Issue 6, 44-51, (2017).
B. Ek, C. VerSchneider, N. D. Cahill, and D. A. Narayan, "A comprehensive comparison of graph theory metrics for social networks", Social Network Analysis and Mining, Volume 5, Number 1, (July 2015).
B. Ek, C. VerSchneider, and D. A. Narayan, "Global efficiency of graphs", AKCE International Journal of Graphs and Combinatorics, Volume 12, Issue 1, (July 2015) 1-13.
B. Ek, "Efficiency and Betweenness Centrality of Graphs and some Applications", ProQuest, (February 2015) 1-84.
E. Sergel, P. Richter, A. Tran, B. Ek, J. Jacob, and D. A. Narayan, "Rank numbers for bent ladders", Discussiones Mathematicae Graph Theory, Volume 34, Issue 2, (May 2014) 309-329.
B. Ek, C. VerSchneider, and D. A. Narayan, "Efficiency of star-like graphs and the Atlanta subway network", Physica A, Volume 392, Issue 21, (November 2013) 5481-5489.
B. Ek, C. VerSchneider, J. Lind, and D. A. Narayan, "Real world graph efficiency", Bulletin of the Institute of Combinatorics and Its Applications, Volume 69, (September 2013) 47-59.
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