Rice
FIS

FIS image header
  •  
  •  
  •  
  •  
  •  
Download 
Scholarly Interest Report
         
Franklin Kenter
Instructor
Pfeiffer-VIGRE Instructor in Computational and Applied Mathematics
 
e-mail:orange@rice.edu
 
  • B.A. Mathematics (2008) University of California, San Diego, La Jolla, CA
  • Ph.D. Mathematics (2013) University of California, San Diego, La Jolla
  • M.A. Mathematics (2010) University of California, San Diego, La Jolla, CA
 
Primary Department
   Department of Computational and Applied Mathematics
No Image
 
Websites
 Franklin H.J. Kenter
 
Research Areas
 Spectral Graph Theory, Graph and Hypergraph Coloring, Network Modeling, Markov Chains, Game Analysis and Probabilistic Game Theory
 
Selected Publications
 Refereed articles
 

David Burstein, Franklin H. J. Kenter Jeremy Kun and Feng Shi "Interception in Distance-Vector Routing Networks." Submitted

 
 

Derek Mikesell, Franklin Kenter, Illya V. Hicks "Finding Optimal Hitting Sets on Random Walks of Graphs." Submitted

 
 

Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Jay Cummings, Jessica De Silva, Wei Gao, Kristin Heysse, Leslie Hogben, Franklin Kenter, Jephian C.-H. Lin, and Michael Tait "On distance spectra of graphs." Submitted


arxiv.org/abs/1509.01196
 
 

Keivan Hassani Monfared, Paul Horn, Franklin Kenter, Kathleen Nowak, John Sinkovic, and Josh Tobin. "On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs." Submitted

 
 

Chris Cox, Jessica DeSilva, Philip DeOrsey, Franklin Kenter, Troy Retter, and Joshua Tobin "“Hat-Guessing Strategies to the Card Game ‘Hanabi’” ." In Progress

 
 

Franklin H. J. Kenter and Mary Radcliffe " A Linear k-fold Cheeger Inequality." Submitted


arxiv.org/abs/1501.01741
 
 

Franklin H.J. Kenter "An Analysis of the Basketball Endgame: When to Foul When Leading and Trailing." In Press


www.caam.rice.edu/~fhk2/basketballendgame.pdf
 
 

Franklin H.J. Kenter "Jensen's Inequality, The Law of Large Numbers and NCAA March Madness." Amer. Math. MonthlyIn Press

 
 

Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Leslie Hogben, Franklin Kenter, Jephian C.-H. Lin, and Michael Tait "Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree." Submitted


arxiv.org/abs/1507.02341
 
 

Randy Davila and Franklin Kenter "“Zero Forcing on Triangle-Free Graphs”." Theory and Applications of Graphs, 2-2: 1-8.In Revision

 
 

Franklin H. J. Kenter "A Linear Cheeger Inequality using Eigenvector Norms." J. Combintorics, 6-3: 1-7.In Press


www.caam.rice.edu/~fhk2/LinearCheeger.pdf
 
 

Franklin H. J. Kenter "Approxmating the Minimum Rank of a Graph Via Alternating Projections.." Operation Research LettersSubmitted

 
 

Franklin H.J. Kenter "Concentration of the Stationary Distribution on General Random Directed Graphs." In Revision

 
Presentations
 Conference abstracts
 

“Discrepancy Inequalities for Directed Graphs” CombinaTexas Conference, May 2014; College Station, TX.

 
 Invited Papers
 

 “An Analysis of the Basketball Endgame: When To Foul When Leading and Trailing,” Ninth Annual MIT Sloan Sports Analytics Conference (Invited Poster), February 2015;  Boston, MA.

 
 Invited Talks
 

“Spectral Results for Adaptations of Graph Coloring”, AMS Section Meeting, October 2015; University of Memphis

 
 

 “Eigenvector Norms Matter in Spectral Graph Theory,” 

Mini-symposium on Applications to Graphs, SIAM Applied Linear Algebra, October 2015; Atlanta, GA.

 
 

“Eigenvector Norms Matter in Spectral Graph Theory,”, 

Mini-symposium on Applications to Graphs, SIAM Applied Linear Algebra, October 2015; Atlanta, GA. 

 
 

 “Eigenvector Norms Matter in Spectral Graph Theory,”  AMS Special Session Network Science AMS/MAA JMM, January 2015; San Antonio, TX.

 
 

“Approximating the Minimum Rank for Large Graphs,”  SIAM Discrete Mathematics 2014, Mini-symposium in Spectral Graph Theory, Minneapolis, MN, June 2014. 

 
 Posters
 

“Discrepancy Inequalities for Directed Graphs” Poster Presentation K2I Big Data Meet-Up; Houston, TX,  September 2015.

 
 

“Discrepancy Inequalities for Directed Graphs” Poster Presentation ICERM Workshop, Providence, RI,  April 2014. 

 
 Seminar Speaker
 

“Breaking Basketball: An Analysis of the Basketball Endgame” Rice University, Graduate Colloquium, February 2014.

 
 

"Specrtal Properties of Hypergraph Coloring." Texas A & M University. (November 2013)

 
 

"Spectral Properties of Hypergraph Coloring." Rice University. (September 2013)