Recent Publications

[67] B. Hartnell and D.F. Rall, On the Cartesian product of non well-covered graphs, The Electronic Journal of
Combinatorics, 20(2) #P21 (2013) 1-4.

[66] T.K. Sumenjak, D.F. Rall and A. Tepeh, Rainbow domination in the lexicographic product of graphs, Discrete
Applied Mathematics, (DOI: 10.1016/j.dam.2013.03.011) to appear. [pdf]

[65] B. Bresar, S. Klavzar. G. Kosmrlj and D.F. Rall, Domination game: extremal families of graphs for the 3/5-conjectures,
Discrete Applied Mathematics, 161 (2013) 1308-1316 (DOI: 10.1016/j.dam.2013.01.025). [pdf]

[64] B. Bresar, S. Klavzar and D.F. Rall, Domination game played on trees and spanning subgraphs, Discrete
Mathematics, 313 (2013) 915-923 (DOI: 10.1016/j.disc.2013.01.014) . [pdf]

[63] M. Henning and D.F. Rall, On graphs with disjoint dominating and 2-dominating sets, Discussiones Mathematicae
Graph Theory, 33 (2013) 139-146. [pdf]

[62] B. Hartnell and D.F. Rall, On graphs having maximal independent sets of exactly t distinct cardinalities, Graphs and
Combinatorics 29(3) (2013) 519-525 (DOI: 10.1007/s00373-012-1132-8) . [pdf]

[61] B. Bresar, P. Dorbec, W. Goddard, B. Hartnell, M. Henning, S. Klavzar, and D. F. Rall, Vizing's Conjecture: A Survey and
Recent Results, Journal of Graph Theory, 69 (2012) 46-76 (DOI: 10.1002/jgt.20565) . [pdf]

[60] B. Bresar, S. Klavzar and D.F. Rall, Domination game and an imagination strategy, SIAM Journal on Discrete
Mathematics, 24 (2010) 979-991. [pdf]

[59] A. Finbow and D.F. Rall, On the packing chromatic number of some lattices, Discrete Applied Mathematics,
158 (2010) 1224-1228. [pdf]

[58] R. Gallant, G. Gunther, B. Hartnell and D.F. Rall, Limited packings in graphs, Discrete Applied Mathematics,
158 (2010) 1357-1364. [pdf]

[57] B. Bresar and D.F. Rall, Fair reception and Vizing's conjecture, Journal of Graph Theory, 61 (2009) 45-54. [pdf]

[56] J. Blair, W. Goddard, S.M. Hedetniemi, S.T. Hedetniemi, F. Manne and D.F. Rall, Emergency response sets in graphs,
Journal of CombinatorialMathematics and Combinatorial Computing, 68 (2009) 225-243. [pdf]

[55] D.F. Rall, Packing and domination invariants on Cartesian products and direct products, Ramanujan Mathematical
Society Lecture Note Series in Mathematics , Vol 7 (2008) 183-194. [pdf]

Earlier Papers