DOUG RALL'S home page |
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Department of Mathematics

Furman University

Greenville, SC 29613

Office: (864) 294-3637

Fax: (864) 294-3641

e-mail: doug dot rall at furman dot edu

- Department of Mathematics Homepage
- Furman University Homepage

My research is supported by a Collaboration Grant for Mathematicians from
*
Simons Foundation*

[73] B. Bresar, S. Klavzar. G. Kosmrlj and D.F. Rall, Guarded subgraphs and the domination
game,

* Discrete Mathematics and Theoretical Computer Science*, to appear
[pdf] .

[72] B. Bresar and D.F. Rall, On Cartesian products having a minimum dominating set that
is a box or a

stairway, * Graphs and Combinatorics*, to appear
(DOI:10.1007/s00373-014-1486-1)
[pdf] .

[71] B. Bresar, T. Gologranc, M. Milanic, D.F. Rall and R. Rizzi, Dominating sequences in
graphs,* Discrete Mathematics*,

[70] M. Henning, S. Klavzar and D.F. Rall, Total version of the domination game,
* Graphs and Combinatorics*,

1-11, to appear
(DOI 10.1007/s00373-014-1470-9)
[pdf] .

[69] W. Desormeaux, M. Henning, D.F. Rall and A. Yeo, Relating the annihilation number
and the 2-domination

number of a tree, * Discrete Mathematics*, **319C** (2014) 15-23
(DOI: 10.1016/j.disc.2013.11.020).
[pdf] .

[68] D.F. Rall and Kirsti Wash, Identifying codes of the direct product of two cliques,
* European Journal of Combinatorics*,

[67] B. Hartnell and D.F. Rall, On the Cartesian product of non well-covered graphs,
* The Electronic Journal of Combinatorics*,

[66] T.K. Sumenjak, D.F. Rall and A. Tepeh, Rainbow domination in the lexicographic product of graphs,
* Discrete Applied Mathematics*,

[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*,

[63] M. Henning and D.F. Rall, On graphs with disjoint dominating and 2-dominating sets,
* Discussiones Mathematicae Graph Theory*,

[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*,

[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 *,

- Electronic Journal of Combinatorics
- AMS e-MATH
- NSF Mathematical Sciences Institutes

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