Douglas F. Rall

Publication Activity (10 Years)

Years Active: 1986-2024
Publications (10 Years): 30

Top Topics

Cartesian Product

Top Venues

Discret. Appl. Math.

Discret. Math. Theor. Comput. Sci.

Publications

Bostjan Bresar, Csilla Bujtás, Vesna Irsic, Douglas F. Rall, Zsolt Tuza
Indicated domination game. Discret. Math. 347 (9) (2024)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
Packings in bipartite prisms and hypercubes. Discret. Math. 347 (4) (2024)
Kirsti Kuenzel, Douglas F. Rall
A characterization of well-dominated Cartesian products. Discret. Math. 347 (5) (2024)
Kirsti Kuenzel, Douglas F. Rall
On Independent Domination in Direct Products. Graphs Comb. 39 (1) (2023)
Douglas F. Rall
On well-dominated direct, Cartesian and strong product graphs. Discret. Math. 346 (1) (2023)
Sarah E. Anderson, Bostjan Bresar, Sandi Klavzar, Kirsti Kuenzel, Douglas F. Rall
Orientable domination in product-like graphs. Discret. Appl. Math. 326 (2023)
Gábor Bacsó, Bostjan Bresar, Kirsti Kuenzel, Douglas F. Rall
Graphs with equal Grundy domination and independence number. Discret. Optim. 48 (Part 2) (2023)
Bostjan Bresar, Kirsti Kuenzel, Douglas F. Rall
Domination in digraphs and their direct and Cartesian products. J. Graph Theory 99 (3) (2022)
Sarah E. Anderson, Kirsti Kuenzel, Douglas F. Rall
On Well-Edge-Dominated Graphs. Graphs Comb. 38 (4) (2022)
Kirsti Kuenzel, Douglas F. Rall
On well-covered direct products. Discuss. Math. Graph Theory 42 (2) (2022)
Sarah E. Anderson, Kirsti Kuenzel, Douglas F. Rall
Correction to: On Well-Edge-Dominated Graphs. Graphs Comb. 38 (5) (2022)
Bostjan Bresar, Bert L. Hartnell, Michael A. Henning, Kirsti Kuenzel, Douglas F. Rall
A new framework to approach Vizing's conjecture. Discuss. Math. Graph Theory 41 (3) (2021)
Sarah E. Anderson, Kirsti Kuenzel, Douglas F. Rall
On Well-Dominated Graphs. Graphs Comb. 37 (1) (2021)
Sandi Klavzar, Douglas F. Rall, Ismael G. Yero
General d-position sets. Ars Math. Contemp. 21 (1) (2021)
Michael A. Henning, Douglas F. Rall
The enclaveless competition game. Ars Math. Contemp. 20 (1) (2021)
Bostjan Bresar, Jasmina Ferme, Sandi Klavzar, Douglas F. Rall
A survey on packing colorings. Discuss. Math. Graph Theory 40 (4) (2020)
Sandi Klavzar, Douglas F. Rall
Packing chromatic vertex-critical graphs. Discret. Math. Theor. Comput. Sci. 21 (3) (2019)
Sandi Klavzar, Douglas F. Rall
Domination game and minimal edge cuts. Discret. Math. 342 (4) (2019)
Bert L. Hartnell, Douglas F. Rall, Kirsti Wash
On Well-Covered Cartesian Products. Graphs Comb. 34 (6) (2018)
Michael A. Henning, Sandi Klavzar, Douglas F. Rall
Game total domination critical graphs. Discret. Appl. Math. 250 (2018)
Tadeja Kraner Sumenjak, Douglas F. Rall, Aleksandra Tepeh
-rainbow independent domination in graphs. Appl. Math. Comput. 333 (2018)
Douglas F. Rall, Kirsti Wash
On Minimum Identifying Codes in Some Cartesian Product Graphs. Graphs Comb. 33 (4) (2017)
Michael A. Henning, Douglas F. Rall
Trees with equal total domination and game total domination numbers. Discret. Appl. Math. 226 (2017)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall, Kirsti Wash
Packing chromatic number under local changes in a graph. Discret. Math. 340 (5) (2017)
Bostjan Bresar, Bert L. Hartnell, Douglas F. Rall
Uniformly dissociated graphs. Ars Math. Contemp. 13 (2) (2017)
Michael A. Henning, Sandi Klavzar, Douglas F. Rall
The 4/5 upper bound on the game total domination number. Comb. 37 (2) (2017)
Bostjan Bresar, Michael A. Henning, Douglas F. Rall
Total dominating sequences in graphs. Discret. Math. 339 (6) (2016)
Michael A. Henning, Douglas F. Rall
Progress towards the total domination game -conjecture. Discret. Math. 339 (11) (2016)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
Packing Chromatic Number of Base-3 Sierpiński Graphs. Graphs Comb. 32 (4) (2016)
Tadeja Kraner Sumenjak, Iztok Peterin, Douglas F. Rall, Aleksandra Tepeh
Partitioning the vertex set of G to make G ☐ H an efficient open domination graph. Discret. Math. Theor. Comput. Sci. 18 (3) (2016)
Bostjan Bresar, Sandi Klavzar, Gasper Kosmrlj, Douglas F. Rall
Guarded subgraphs and the domination game. Discret. Math. Theor. Comput. Sci. 17 (1) (2015)
Bostjan Bresar, Douglas F. Rall
On Cartesian Products Having a Minimum Dominating Set that is a Box or a Stairway. Graphs Comb. 31 (5) (2015)
Michael A. Henning, Sandi Klavzar, Douglas F. Rall
Total Version of the Domination Game. Graphs Comb. 31 (5) (2015)
Douglas F. Rall, Kirsti Wash
Identifying codes of the direct product of two cliques. Eur. J. Comb. 36 (2014)
Wyatt J. Desormeaux, Michael A. Henning, Douglas F. Rall, Anders Yeo
Relating the annihilation number and the 2-domination number of a tree. Discret. Math. 319 (2014)
Bostjan Bresar, Tanja Gologranc, Martin Milanic, Douglas F. Rall, Romeo Rizzi
Dominating sequences in graphs. Discret. Math. 336 (2014)
Bert L. Hartnell, Douglas F. Rall
On the Cartesian Product of Non Well-Covered Graphs. Electron. J. Comb. 20 (2) (2013)
Bert L. Hartnell, Douglas F. Rall
On Graphs Having Maximal Independent Sets of Exactly t Distinct Cardinalities. Graphs Comb. 29 (3) (2013)
Tadeja Kraner Sumenjak, Douglas F. Rall, Aleksandra Tepeh
Rainbow domination in the lexicographic product of graphs. Discret. Appl. Math. 161 (13-14) (2013)
Michael A. Henning, Douglas F. Rall
On graphs with disjoint dominating and 2-dominating sets. Discuss. Math. Graph Theory 33 (1) (2013)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
Domination game played on trees and spanning subgraphs. Discret. Math. 313 (8) (2013)
Bostjan Bresar, Sandi Klavzar, Gasper Kosmrlj, Douglas F. Rall
Domination game: Extremal families of graphs for 3/53/5-conjectures. Discret. Appl. Math. 161 (10-11) (2013)
Bostjan Bresar, Paul Dorbec, Wayne Goddard, Bert L. Hartnell, Michael A. Henning, Sandi Klavzar, Douglas F. Rall
Vizing's conjecture: a survey and recent results. J. Graph Theory 69 (1) (2012)
Bert L. Hartnell, Douglas F. Rall
On the Cartesian product of non well-covered graphs CoRR (2012)
Arthur S. Finbow, Douglas F. Rall
On the packing chromatic number of some lattices. Discret. Appl. Math. 158 (12) (2010)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
Domination Game and an Imagination Strategy. SIAM J. Discret. Math. 24 (3) (2010)
Robert P. Gallant, Georg Gunther, Bert L. Hartnell, Douglas F. Rall
Limited packings in graphs. Discret. Appl. Math. 158 (12) (2010)
Bostjan Bresar, Douglas F. Rall
Fair reception and Vizing's conjecture. J. Graph Theory 61 (1) (2009)
Paul Dorbec, Michael A. Henning, Douglas F. Rall
On the upper total domination number of Cartesian products of graphs. J. Comb. Optim. 16 (1) (2008)
Wayne Goddard, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, John M. Harris, Douglas F. Rall
Braodcast Chromatic Numbers of Graphs. Ars Comb. 86 (2008)
Robert P. Gallant, Georg Gunther, Bert L. Hartnell, Douglas F. Rall
Limited Packings in Graphs. Electron. Notes Discret. Math. 30 (2008)
Douglas F. Rall, Bostjan Bresar, Art S. Finbow, Sandi Klavzar
On the Packing Chromatic Number of Trees, Cartesian Products and Some Infinite Graphs. Electron. Notes Discret. Math. 30 (2008)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Discret. Appl. Math. 155 (17) (2007)
Wilfried Imrich, Sandi Klavzar, Douglas F. Rall
Cancellation properties of products of graphs. Discret. Appl. Math. 155 (17) (2007)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
Dominating direct products of graphs. Discret. Math. 307 (13) (2007)
Bostjan Bresar, Sandi Klavzar, Douglas F. Rall
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Electron. Notes Discret. Math. 29 (2007)
Wilfried Imrich, Douglas F. Rall
Finite and infinite hypercubes as direct products. Australas. J Comb. 36 (2006)
Bert L. Hartnell, Douglas F. Rall
On graphs having uniform size star factors. Australas. J Comb. 34 (2006)
Bostjan Bresar, Michael A. Henning, Douglas F. Rall
Paired-domination of Cartesian products of graphs and rainbow domination. Electron. Notes Discret. Math. 22 (2005)
Robert C. Brigham, Teresa W. Haynes, Michael A. Henning, Douglas F. Rall
Bicritical domination. Discret. Math. 305 (1-3) (2005)
Michael A. Henning, Douglas F. Rall
On the Total Domination Number of Cartesian Products of Graphs. Graphs Comb. 21 (1) (2005)
Douglas F. Rall
Total Domination in Categorical Products of Graphs. Discuss. Math. Graph Theory 25 (1-2) (2005)
Bert L. Hartnell, Douglas F. Rall
. Discuss. Math. Graph Theory 24 (3) (2004)
Bert L. Hartnell, Douglas F. Rall
Improving some bounds for dominating Cartesian products. Discuss. Math. Graph Theory 23 (2) (2003)
Odile Favaron, Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Douglas F. Rall
-dependent domination. Discret. Math. 249 (1-3) (2002)
Scott P. Martin, Jeffrey S. Powell, Douglas F. Rall
On the independence number of the Cartesian product of caterpillars. Ars Comb. 60 (2001)
Sandra Mitchell Hedetniemi, Stephen T. Hedetniemi, Douglas F. Rall
Acyclic domination. Discret. Math. 222 (1-3) (2000)
Bert L. Hartnell, Douglas F. Rall
A bound on the size of a graph with given order and bondage number. Discret. Math. (1999)
Lisa R. Markus, Douglas F. Rall
On Seed Graphs with Two Components. Ars Comb. 49 (1998)
Jason I. Brown, Richard J. Nowakowski, Douglas F. Rall
The Ultimate Categorical Independence Ratio of a Graph. SIAM J. Discret. Math. 9 (2) (1996)
Richard J. Nowakowski, Douglas F. Rall
Associative graph products and their independence, domination and coloring numbers. Discuss. Math. Graph Theory 16 (1) (1996)
Georg Gunther, Bert L. Hartnell, Douglas F. Rall
Star-factors and k-bounded total domination. Networks 27 (3) (1996)
Bert L. Hartnell, Douglas F. Rall
Vizing's conjecture and the one-half argument. Discuss. Math. Graph Theory 15 (2) (1995)
Bert L. Hartnell, Douglas F. Rall
Bounds on the bondage number of a graph. Discret. Math. 128 (1-3) (1994)
Georg Gunther, Bert L. Hartnell, Douglas F. Rall
Graphs whose Vertex Independence Number is Unaffected by Single Edge Addition of Deletion. Discret. Appl. Math. 46 (2) (1993)
Douglas F. Rall
Domatically critical and domatically full graphs. Discret. Math. 86 (1-3) (1990)
Stephen J. Dow, Douglas F. Rall, Peter J. Slater
Convex labelings of trees. J. Graph Theory 11 (1) (1987)
Claudine Peyrat, Douglas F. Rall, Peter J. Slater
On iterated clique graphs with increasing diameters. J. Graph Theory 10 (2) (1986)