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.

Template taken from Dr. Zeilberger

In Progress
  • Bryan Ek, Unimodal Polynomials and Lattice Walk Enumeration with Experimental Mathematics
        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

    To Appear
  • 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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