Publications

  1. S.E. Anderson and K. Kuenzel. Power domination in cubic graphs and Cartesian products. submitted (2022)
  2. B. Brešar, K. Kuenzel, and D.F. Rall. Domination in digraphs and their products. J. Graph Theory: 99(3): 359-377 (2022)
  3. S.E. Anderson, K. Kuenzel, and D.F. Rall. On well-edge-dominated graphs. submitted (2021)
  4. S.E. Anderson and K. Kuenzel. Independent transversal domination in trees, products, and under local changes to a graph. submitted (2021)
  5. S.E. Anderson, K. Kuenzel, and D.F. Rall. On well-dominated graphs. Graphs and Combin., 37(1): 151-165 (2021)
  6. 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): 749-762 (2021)  (DOI :10.7151/dmgt.2293)
  7. J.P. Georges, K. Kuenzel, D.W. Mauro, and P.S. Skardal. On a distance-constrained graph labeling to model cooperation, Discrete Applied Math., accepted (2021)
  8. W. Goddard, K. Kuenzel, and E. Melville. Well-hued graphs, submitted (2020)
  9. W. Goddard, K. Kuenzel, and E. Melville. Graphs in which all maximal bipartite subgraphs have the same order, Aequat. Math., 94: 1241-1255 (2020)
  10. B. Brešar, K. Kuenzel, and D.F. Rall. Graphs with a unique maximum open packing, Indian Journal of Discrete Mathematics, 5(1): 37-55 (2019)
  11. K. Kuenzel and D.F. Rall. On well-covered direct products, Discuss. Math. Graph Theory, to appear (DOI :10.7151/dmgt.2296)
  12. B. Hartnell, D.F. Rall, and K. Wash. On well-covered Cartesian products, Graphs and Combin., 34: 1259-1268 (2018)
  13. S.E. Anderson, S. Nagpal, and K. Wash. Domination in the hierarchical product and Vizing’s conjecture, Discrete Math., 341(1): 20-24 (2018)
  14. B. Brešar, S. Klavžar, D.F. Rall, and K. Wash. Packing chromatic number versus chromatic and clique number,  Aequat. Math., 92(3): 497-513 (2017)
  15. 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): 169-184 (2017)
  16. B. Brešar, S. Klavžar, D.F. Rall, and K. Wash. Packing chromatic number under local changes in a graph, Discrete Math., 340(5): 1110-1115 (2017)
  17. M.A. Henning and K. Wash. Matchings, path covers and domination, Discrete Math., 340(1): 3207-3216 (2017)
  18.  D.F. Rall and K. Wash. On minimum identifying codes in some Cartesian product graphs, Graphs and Combin., 33(4): 1037-1053 (2017)
  19. J.P Georges, D. Mauro, and K. Wash. On zero-sum Z_{2j}^k-magic graphs, J. Combin. Optim. 34(1): 94-113 (2017)
  20. 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): 873-890 (2017)
  21. P.S. Skardal and K. Wash. Spectral properties of the hierarchical product of graphs, Physical Review E  94, 052311 (2016)
  22. M.A. Henning and K. Wash. Trees with large neighborhood total domination number, Discrete Applied Math., 187: 96-102 (2015)
  23. W. Goddard, K. Wash, and H. Xu. WORM colorings, Discuss. Math. Graph Theory, 35: 571-584 (2015)
  24. W. Goddard, K. Wash, and H. Xu. WORM colorings forbidding cycles or cliques, Congressus Numerantium, (2014)
  25. K. Wash. Edgeless graphs are the only universal fixers, Czech. Math., 64(139): 833-843 (2014)
  26. D.F. Rall and K. Wash. Identifying codes of the direct product of two cliques, European J. of Combin., 36: 159-171 (2014)
  27. W. Goddard and K. Wash. ID codes in Cartesian products of cliques, J. Combin. Math. Combin. Comput., 85: 97-106 (2013)
  28. W. Gu and K. Wash. Bounds on the domination number of permutation graphs, J. Interconnection Networks, 10(3): 205-217 (2009)