# Overview

Professor Kenter's research focuses on graph theory, broadly construed, including:

- Spectral graph theory
- Network science
- Network modeling
- Games on graphs

# Publications

- “Generative Markov Model for Bowling Scores”

with Douglas Vanderwerken*Journal of Quantitateive Analysis of Sports, in press.* - “Proof of a conjecture of Graham and Lovász concerning unimodality of coefficients of the distance characteristic polynomial of a tree”

with Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Leslie Hogben, Jephian C.-H. Lin and Michael Tait*Electronic Journal of Linear Algebra, in press.* - “On the error of
*a priori*sampling: zero forcing sets and propagation time”

with Jephian C.-H. Lin

*Linear Algebra and Its Applications*, in press. - “Pebbling on Graph Products and other Binary Graph Constructions”

with John Asplund and Glenn Hurlbert

*The Australasian Journal of Combinatorics*,**7**-2 (2018). pp. 246-260. - “The relationship between k-forcing and k-power domination”

with Daniela Ferrero, Leslie Hogben, and Michael Young

*Discrete Mathematics,***341-**6 (2018), pp 1789-1797. - “Note on power propagation time and lower bounds for the power domination number"

with Daniela Ferrero, Leslie Hogben and Michael Young

*Journal of Combinatorial Optimization*(2016).

with David Burstein, Jeremy Kun and Feng Shi

*Journal of Complex Networks,***5***-2,*(June 2017), pp. 179–198.- “Iterated Prisoner's Dilemma with Extortionate Zero-Determinant Strategies and Random-Memory Opponents”

with Emily Meigs

*Proceedings of the**IEEE Congress on Evolutionary Computation*2016. - “Sharp Spectral Bounds of Several Graph Parameters using Eigenvector Norms”

*Linear Algebra and Its Applications,***504**(2016), pp. 48-63. - “On the Principal Permanent Rank Characteristic Sequences of Graphs and Digraphs”

with Keivan Hassani Monfared, Paul Horn, Kathleen Nowak, John Sinkovic, and Josh Tobin

*Electronic Journal of Linear Algebra,***31**(2016), pp. 187-199.

with Ghodratollah Aalipour, Aida Abiad, Zhanar Berikkyzy, Jay Cummings, Jessica De Silva, Wei Gao, Kristin Heysse, Leslie Hogben, Jephian C.-H. Lin, and Michael Tait

*Linear Algebra and Its Applications,***497**(2016), pp. 66-87.- “Approximating the Minimum Rank of a Graph via Alternating Projections”

Operations Research Letters,**44**-2 (2015), pp. 255-259 - “Lower Bounds on the Distance Domination Number of a Graph”

with Randy Davila, Caleb Fast, and Michael Henning

*Contributions to Discrete Mathematics,***12-**2*,*pp. 11-21 - “Hat-Guessing Applications to the Card Game ‘Hanabi’”

with Chris Cox, Jessica De Silva, Philip DeOrsey, Troy Retter, and Joshua Tobin

*Mathematics Magazine,***88-**5 (December 2015), pp. 323-336. - “Zero Forcing on Triangle-Free Graphs”

with Randy Davila*Theory and Applications of Graphs,**2**-2*(2015) pp. 1-8. - “An Analysis of the Basketball Endgame: When to Foul When Leading and Trailing”
published online

Ninth Annual MIT Sloan Sports Analytics Conference, - “A Linear Cheeger Inequality using Eigenvector Norms”

Journal of Combinatorics,*6**-3*(2015) pp. 285-294. - “How To Win Your Betting Pool with Jensen's Inequality and the Law of Large Numbers”

*American Mathematical Monthly,***123**-6 - “Discrepancy Inequalities for Directed Graphs”

with Fan Chung

*Discrete Applied Mathematics*,**176**(2014), pp. 30-42. - “Necessary Spectral Conditions for Coloring Hypergraphs”

*J. Combinatorial Computing and Machine Computing,***88**(2014), pp. 73-84

Submitted:

- "Pebbling on Directed Graphs with Fixed Diameter"

with John Asplund

Unpublished Notes:

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