Caleb C. Fast
Graduate Student,
Computational and Applied Mathematics
Rice University
6100 Main Street - MS 134
Houston, Texas 77005-1892

Email: calebfast at rice dot edu
Office: Duncan Hall 3066

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Welcome to my webpage. Here, you can find my research interests, CV, and links to my papers.


Education
  • Ph.D. in Computational and Applied Mathematics, Rice University, Expected December 2016
    - Thesis: Combining Combinatorial and Integer Programming Techniques for the Zero- Forcing and p-Median Graph Location Problems.
  • M.A. in Computational and Applied Mathematics, Rice University, May 2014
    - Thesis: "On the Integrality gap of the Traveling Salesman Problem for Certain Fractional 2-Matching Costs"
  • B.S. in Mathematics, Limestone College, May 2010

Research Interests
  • Operations Research
  • Graph Theory
  • Mathematical Programming
  • Optimization
  • The Traveling Salesman Problem
  • The P-median Problem
  • The Zero-Forcing Problem
  • NP-Hard Problems

Publications
  • C. Fast and I.V. Hicks, “The Effect of Vertex Degrees on the Zero-Forcing Number and Iteration Index of a Graph,” Working Paper, June 2016.
  • C. Fast and I.V. Hicks, “A branch decomposition algorithm for the p-median problem,” Under Review, November 2015.
  • R. Davila, C. Fast, M. Hennning, and F. Kenter, “Lower bounds on the distance domination number of a graph,” To appear in Contributions to Discrete Mathematics, July 2015. http://arxiv.org/pdf/1507.08745v1.pdf

Service
  • Academic writing coach for electrical and computer engineers (Jan. 2014 - Apr. 2014)
  • SIAM Chapter Officer: Grillmaster (Aug. 2012 - Aug. 2013)
  • LeTourneau University Mathematics Club Secretary and Treasurer (Jan. 2008 - May 2008)
Awards
  • Lodieska Stockbridge Vaughn Fellowship through Rice University, 2015
  • ExxonMobil Fellowship through the Ken Kennedy Institute at Rice University, 2013
  • Mathematical Association of America Texas Section Calculus Bowl Champion, 2009
  • Mathematical Association of America Texas Section Calculus Bowl Champion, 2008