Appointments
Assistant Professor of Mathematics – Trinity College July 2019 – present
Assistant Professor of Mathematics – Western New England University Aug. 2017 – July 2019
Harold L. Dorwart Visiting Assistant Professor – Trinity College July 2014 – June 2017
Postdoctoral Researcher – University of Johannesburg May 2014 – Aug. 2014
Education
Ph.D. Clemson University, Clemson SC Advisors: Wayne Goddard (Clemson) and Douglas F. Rall (Furman)
MS Texas State University, San Marcos, TX Advisor: Diana Gu
BS University of Texas at Austin, Austin, TX
Publications

A. Domat and K. Kuenzel. Loop zero forcing and Grundy domination in planar graphs and clawfree cubic graphs, submitted (2022)

G. Bacso, B. Brešar, K. Kuenzel, and D. F. Rall. Graphs with equal Grundy domination and independence number, submitted (2022)

S.E. Anderson, K. Kuenzel, and H. Schuerger. Graphs which satisfy a Vizinglike bound for the power domination of Cartesian products, submitted (2022)

S.E. Anderson, B. Brešar, S. Klavžar, K. Kuenzel, and D.F. Rall. Orientable domination in productlike graphs. Discrete App. Math., accepted (2022)

K. Kuenzel and D.F. Rall. On independent domination in direct products. Graphs and Combin., accepted (2022)

S.E. Anderson and K. Kuenzel. Power domination in cubic graphs and Cartesian products. Discrete Math., 345(11): 113113 (2022)

J.P. Georges, K. Kuenzel, D.W. Mauro, and P.S. Skardal. On a distanceconstrained graph labeling to model cooperation, Discrete App. Math., 306: 17 – 31 (2022)

B. Brešar, K. Kuenzel, and D.F. Rall. Domination in digraphs and their products. J. Graph Theory: 99(3): 359377 (2022)

S.E. Anderson, K. Kuenzel, and D.F. Rall. On welledgedominated graphs. Graphs and Combin., 38(106) (2022)

S.E. Anderson and K. Kuenzel. Independent transversal domination in trees, products, and under local changes to a graph. Aequat. Math., 96: 981995 (2022)
 S.E. Anderson, K. Kuenzel, and D.F. Rall. On welldominated graphs. Graphs and Combin., 37(1): 151165 (2021)
 B. Brešar, B. Hartnell, M.A. Henning, D.F. Rall, and K. Wash. A new framework to approach Vizing’s conjecture, Discuss. Math. Graph Theory, 41(3): 749762 (2021) (DOI :10.7151/dmgt.2293)
 W. Goddard, K. Kuenzel, and E. Melville. Wellhued graphs, submitted (2020)
 W. Goddard, K. Kuenzel, and E. Melville. Graphs in which all maximal bipartite subgraphs have the same order, Aequat. Math., 94: 12411255 (2020)
 B. Brešar, K. Kuenzel, and D.F. Rall. Graphs with a unique maximum open packing, Indian Journal of Discrete Mathematics, 5(1): 3755 (2019)
 K. Kuenzel and D.F. Rall. On wellcovered direct products, Discuss. Math. Graph Theory, to appear (DOI :10.7151/dmgt.2296)
 B. Hartnell, D.F. Rall, and K. Wash. On wellcovered Cartesian products, Graphs and Combin., 34: 12591268 (2018)
 S.E. Anderson, S. Nagpal, and K. Wash. Domination in the hierarchical product and Vizing’s conjecture, Discrete Math., 341(1): 2024 (2018)
 B. Brešar, S. Klavžar, D.F. Rall, and K. Wash. Packing chromatic number versus chromatic and clique number, Aequat. Math., 92(3): 497513 (2017)
 B. Brešar, S. Klavžar, D.F. Rall, and K. Wash. Packing chromatic number, (1,1,2,2)colorings, and characterizing the Petersen graphs, Aequat. Math., 91(1): 169184 (2017)
 B. Brešar, S. Klavžar, D.F. Rall, and K. Wash. Packing chromatic number under local changes in a graph, Discrete Math., 340(5): 11101115 (2017)
 M.A. Henning and K. Wash. Matchings, path covers and domination, Discrete Math., 340(1): 32073216 (2017)
 D.F. Rall and K. Wash. On minimum identifying codes in some Cartesian product graphs, Graphs and Combin., 33(4): 10371053 (2017)
 J.P Georges, D. Mauro, and K. Wash. On zerosum Z_{2j}^kmagic graphs, J. Combin. Optim. 34(1): 94113 (2017)
 S.E. Anderson, Y. Guo, A. Tenney, and K. Wash. Prime factorization and domination in the generalized hierarchical product, Discuss. Math. Graph Theory, 37(4): 873890 (2017)
 P.S. Skardal and K. Wash. Spectral properties of the hierarchical product of graphs, Physical Review E 94, 052311 (2016)
 M.A. Henning and K. Wash. Trees with large neighborhood total domination number, Discrete Applied Math., 187: 96102 (2015)
 W. Goddard, K. Wash, and H. Xu. WORM colorings, Discuss. Math. Graph Theory, 35: 571584 (2015)
 W. Goddard, K. Wash, and H. Xu. WORM colorings forbidding cycles or cliques, Congressus Numerantium, (2014)
 K. Wash. Edgeless graphs are the only universal fixers, Czech. Math., 64(139): 833843 (2014)
 D.F. Rall and K. Wash. Identifying codes of the direct product of two cliques, European J. of Combin., 36: 159171 (2014)
 W. Goddard and K. Wash. ID codes in Cartesian products of cliques, J. Combin. Math. Combin. Comput., 85: 97106 (2013)
 W. Gu and K. Wash. Bounds on the domination number of permutation graphs, J. Interconnection Networks, 10(3): 205217 (2009)
Publications with Students
 C. Cooper and K. Wash. ttone colorings in the Cartesian product, Congressus Numerantium (2017)
 A. Fong, J.P. Georges, D. Mauro, D. Spagnuolo, J. Wallace, S. Wang, and K. Wash. On the zerosum groupmagicness of Cartesian products, Involve, Vol. 12: 12611278 (2019)
 J. Loe, D. Middlebrooks, A. Morris, and K. Wash. 2tone colorings in graph products, Discuss. Math. Graph Theory, 37(4): 873890 (2017)
 J. Brown, A. Hasmani, L. Hiltner, A. Kraft, D. Scofield, and K. Wash. On the computation of all characteristic p extensions of a padic field of a given degree, Rocky Mountain Math Journal, 45 No. 1 (2015)
Undergraduate Research Advising
2022: I advised Alex Domat in his summer research project. We studied the grundy domination number and loop zero forcing number of particular graph classes.
2020/2021: I advised Div Gaur’s senior thesis titled Power domination in cubic graphs
2018/2019: I advised Henry Wix’s senior thesis titled Applications of Integer Programming: Graph Domination and RK Puzzles.
2016/2017: Jack Wallace did an independent study on Algebraic Geometry and formulating combinatorial problems in the context of Algebraic Geometry. I also advised Catherine Cooper’s senior thesis on $t$tone colorings in the Cartesian product of graphs.
Summer 2016: My research advisees were Jacqueline Kromasch and Shriya Nagpal. Jacqueline studied using PCA, LDA, and kmeans clustering to identify common manufacturing sources among 82 counterfeit pharmaceutical pills. Shriya’s project was on improving upon the class of graphs that satisfy Vizing’s Conjecture. Shriya presented her work at MathFest and won the Cur Award for her presentation.
Summer 2015: My research advisees were Yaoqi Guo and Asa Tenney. Asa studied domination in the hierarchical product of graphs. He presented his work at MathFest and won an Outstanding Presentation Award.
Summer 2013: I was a research advisor in the Clemson REU in Combinatorics, Computational Algebraic Geometry, and Number Theory. My group studied 2tone colorings in graph products. The students presented their work at the Southeast REU Conference.
Summer 2012: I was a graduate student mentor in the Clemson REU in Combinatorics, Computational Algebraic Geometry, and Number Theory. My group studied classifying local fields of characteristic p. The students presented their work at the Southeast REU Conference.
Honors and Awards
 Slovenia/USA Bilateral Research Grant 2016 – present
 Waitlisted for an AMSSimons Travel Grant 2015
 AWM Travel Grant March 2015 and June 2017

Professional Enrichment Grant, Clemson University, April 2013

AMS Travel Grant, March 2013

Professional Enrichment Grant, Clemson University, January 2013

Excellence in Teaching Award, Department of Mathematical Sciences, Clemson University, May 2012
Service
 Program Chair for the MAA Northeastern Section Meeting hosted at Trinity Fall 2016
 Organized department colloquium for the math majors at Trinity
 Advised two senior theses Spring 2017 at Trinity and currently advising a senior thesis Fall 2018 at Western New England University
 Volunteered for all curriculum meetings regarding the Calculus sequence while at Trinity