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Author ID: rall.douglas-f Recent zbMATH articles by "Rall, Douglas F."
Published as: Rall, Douglas F.; Rall, Douglas; Rall, D. F.; Rall, D.; Rall, Doug F.; Rall, Doug
Homepage: http://math.furman.edu/~drall/
External Links: MGP
Documents Indexed: 101 Publications since 1979, including 2 Books
Co-Authors: 48 Co-Authors with 94 Joint Publications
1,492 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

87 Publications have been cited 1,149 times in 625 Documents Cited by Year
Rainbow domination in graphs. Zbl 1163.05046
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
77
2008
Domination game and an imagination strategy. Zbl 1223.05189
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
72
2010
Broadcast chromatic numbers of graphs. Zbl 1224.05172
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F.
59
2008
Topics in graph theory. Graphs and their Cartesian product. Zbl 1156.05001
Imrich, Wilfried; Klavžar, Sandi; Rall, Douglas F.
49
2008
Total version of the domination game. Zbl 1321.05159
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
43
2015
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Zbl 1126.05045
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
41
2007
Vizing’s conjecture: a survey and recent results. Zbl 1234.05173
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
41
2012
Bounds on the bondage number of a graph. Zbl 0796.05051
Hartnell, Bert L.; Rall, Douglas F.
37
1994
Associative graph products and their independence, domination and coloring numbers. Zbl 0865.05071
Nowakowski, Richard J.; Rall, Douglas F.
34
1996
Distance-balanced graphs. Zbl 1154.05026
Jerebic, Janja; Klavžar, Sandi; Rall, Douglas F.
31
2008
On dominating the Cartesian product of a graph and \(K_2\). Zbl 1063.05107
Hartnell, Bert L.; Rall, Douglas F.
30
2004
On the packing chromatic number of some lattices. Zbl 1221.05137
Finbow, Arthur S.; Rall, Douglas F.
30
2010
Domination game played on trees and spanning subgraphs. Zbl 1262.05104
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
28
2013
Domination game: extremal families of graphs for \(3/5\)-conjectures. Zbl 1287.05088
Brešar, Boštjan; Klavžar, Sandi; Košmrlj, Gašper; Rall, Douglas F.
26
2013
Domination in Cartesian products: Vizing’s conjecture. Zbl 0890.05035
Hartnell, Bert; Rall, Douglas F.
24
1998
Rainbow domination in the lexicographic product of graphs. Zbl 1286.05146
Šumenjak, Tadeja Kraner; Rall, Douglas F.; Tepeh, Aleksandra
23
2013
The 4/5 upper bound on the game total domination number. Zbl 1399.05165
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
23
2017
Limited packings in graphs. Zbl 1218.05132
Gallant, Robert; Gunther, Georg; Hartnell, Bert L.; Rall, Douglas F.
22
2010
Dominating sequences in graphs. Zbl 1300.05210
Brešar, Boštjan; Gologranc, Tanja; Milanič, Martin; Rall, Douglas F.; Rizzi, Romeo
19
2014
Total dominating sequences in graphs. Zbl 1333.05214
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
19
2016
Packing chromatic number under local changes in a graph. Zbl 1357.05037
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
19
2017
Packing chromatic number of base-3 Sierpiński graphs. Zbl 1342.05111
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
18
2016
A characterization of trees in which no edge is essential to the domination number. Zbl 0767.05078
Hartnell, Bert L.; Rall, Douglas F.
18
1992
Progress towards the total domination game \(\frac{3}{4}\)-conjecture. Zbl 1339.05255
Henning, Michael A.; Rall, Douglas F.
17
2016
On the total domination number of Cartesian products of graphs. Zbl 1062.05109
Henning, Michael A.; Rall, Douglas F.
17
2005
Packing chromatic number, \((1, 1, 2, 2)\)-colorings, and characterizing the Petersen graph. Zbl 1355.05194
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
16
2017
Total domination in categorical products of graphs. Zbl 1074.05068
Rall, Douglas F.
16
2005
Trees with equal total domination and game total domination numbers. Zbl 1365.05199
Henning, Michael A.; Rall, Douglas F.
15
2017
Paired-domination of Cartesian products of graphs and rainbow domination. Zbl 1200.05154
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
14
2005
Graphs with unique minimum dominating sets. Zbl 0836.05045
Gunther, G.; Hartnell, B.; Markus, L. R.; Rall, D.
13
1994
Paired-domination of Cartesian products of graphs. Zbl 1161.05053
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
13
2007
On location-domination numbers for certain classes of graphs. Zbl 0568.05033
Rall, Douglas F.; Slater, Peter J.
12
1984
Dominating direct products of graphs. Zbl 1116.05055
Brešar, Bostjan; Klavžar, Sandi; Rall, Douglas F.
12
2007
Game total domination critical graphs. Zbl 1398.05135
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
12
2018
Fall colorings of graphs. Zbl 0962.05020
Dunbar, J. E.; Hedetniemi, S. M.; Hedetniemi, S. T.; Jacobs, D. P.; Knisely, J.; Laskar, R. C.; Rall, D. F.
11
2000
Bicritical domination. Zbl 1078.05062
Brigham, Robert C.; Haynes, Teresa W.; Henning, Michael A.; Rall, Douglas F.
10
2005
A characterization of graphs in which some minimum dominating set covers all the edges. Zbl 0836.05065
Hartnell, Bert; Rall, Douglas F.
9
1995
Domination game and minimal edge cuts. Zbl 1405.05115
Klavžar, Sandi; Rall, Douglas F.
9
2019
On iterated clique graphs with increasing diameters. Zbl 0596.05036
Peyrat, C.; Rall, D. F.; Slater, P. J.
8
1986
Graphs whose vertex independence number is unaffected by single edge addition or deletion. Zbl 0792.05116
Gunther, Georg; Hartnell, Bert; Rall, Douglas F.
8
1993
Acyclic domination. Zbl 0961.05052
Hedetniemi, S. M.; Hedetniemi, S. T.; Rall, D. F.
8
2000
Packing chromatic number versus chromatic and clique number. Zbl 1390.05186
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
8
2018
Vizing’s conjecture and the one-half argument. Zbl 0845.05074
Hartnell, Bert; Rall, Douglas F.
7
1995
On Vizing’s conjecture. Zbl 0764.05092
Hartnell, Bert L.; Rall, Douglas F.
7
1991
Relating the annihilation number and the 2-domination number of a tree. Zbl 1281.05104
Desormeaux, Wyatt J.; Henning, Michael A.; Rall, Douglas F.; Yeo, Anders
7
2014
Identifying codes of the direct product of two cliques. Zbl 1284.05200
Rall, Douglas F.; Wash, Kirsti
7
2014
On the upper total domination number of Cartesian products of graphs. Zbl 1157.05042
Dorbec, Paul; Henning, Michael A.; Rall, Douglas F.
6
2008
On \(k\)-dependent domination. Zbl 0994.05108
Favaron, O.; Hedetniemi, S. M.; Hedetniemi, S. T.; Rall, D. F.
6
2002
A bound on the size of a graph with given order and bondage number. Zbl 0960.05074
Hartnell, Bert L.; Rall, Douglas F.
6
1999
On the independence number of the Cartesian product of caterpillars. Zbl 1071.05554
Martin, Scott P.; Powell, Jeffrey S.; Rall, Douglas F.
6
2001
On graphs with disjoint dominating and 2-dominating sets. Zbl 1291.05144
Henning, Michael A.; Rall, Douglas F.
6
2013
On \(n\)-irredundance and \(n\)-domination. Zbl 0743.05063
Jacobson, Michael S.; Peters, Kenneth; Rall, Douglas F.
5
1990
Fair reception and Vizing’s conjecture. Zbl 1179.05080
Brešar, Boštjan; Rall, Douglas F.
5
2009
Secondary domination in graphs. Zbl 1176.05055
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Knisely, James; Rall, Douglas F.
5
2008
The ultimate categorical independence ratio of a graph. Zbl 0848.05036
Brown, Jason I.; Nowakowski, Richard J.; Rall, Douglas
4
1996
Domatically critical and domatically full graphs. Zbl 0745.05061
Rall, Douglas F.
4
1990
On the Cartesian product of non well-covered graphs. Zbl 1266.05133
Hartnell, Bert L.; Rall, Douglas F.
4
2013
Limited packings in graphs. Zbl 1341.05208
Gallant, Robert; Gunther, Georg; Hartnell, Bert; Rall, Douglas
4
2008
On \(k\)-rainbow independent domination in graphs. Zbl 1427.05162
Kraner Šumenjak, Tadeja; Rall, Douglas F.; Tepeh, Aleksandra
4
2018
Connected domatic number in planar graphs. Zbl 1079.05512
Hartnell, Bert L.; Rall, Douglas F.
3
2001
Partitioning the vertex set of \(G\) to make \(G\square H\) an efficient open domination graph. Zbl 1400.05204
Šumenjak, Tadeja Kraner; Peterin, Iztok; Rall, Douglas F.; Tepeh, Aleksandra
3
2016
On minimum identifying codes in some Cartesian product graphs. Zbl 1371.05220
Rall, Doug F.; Wash, K.
3
2017
Packing chromatic vertex-critical graphs. Zbl 1411.05091
Klavžar, Sandi; Rall, Douglas F.
3
2019
Cancellation properties of products of graphs. Zbl 1126.05071
Imrich, Wilfried; Klavžar, Sandi; Rall, Douglas F.
2
2007
The watchman’s walk problem: An introduction. Zbl 0952.05053
Hartnell, B. L.; Rall, D. F.; Whitehead, C. A.
2
1998
On graphs in which every minimal total dominating set is minimum. Zbl 0899.05030
Hartnell, Bert; Rall, Douglas F.
2
1997
On graphs having maximal independent sets of exactly \(t\) distinct cardinalities. Zbl 1267.05189
Hartnell, Bert L.; Rall, Douglas F.
2
2013
Domination games played on graphs. Zbl 1467.91015
Brešar, Boštjan; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
2
2021
Uniformly dissociated graphs. Zbl 1380.05148
Brešar, Boštjan; Hartnell, Bert L.; Rall, Douglas F.
2
2017
Guarded subgraphs and the domination game. Zbl 1311.05123
Brešar, Boštjan; Klavžar, Sandi; Košmrlj, Gasper; Rall, Doug F.
2
2015
On well-covered Cartesian products. Zbl 1441.05197
Hartnell, Bert L.; Rall, Douglas F.; Wash, Kirsti
2
2018
A survey on packing colorings. Zbl 1446.05031
Brešar, Boštjan; Ferme, Jasmina; Klavžar, Sandi; Rall, Douglas F.
2
2020
Star-factors and \(k\)-bounded total domination. Zbl 0854.05088
Gunther, Georg; Hartnell, Bert; Rall, Douglas
1
1996
Dominating a graph and its complement. Zbl 0728.05054
Rall, Douglas F.
1
1991
On Cartesian products having a minimum dominating set that is a box or a stairway. Zbl 1327.05255
Brešar, Boštjan; Rall, Douglas F.
1
2015
On graphs having uniform size star factors. Zbl 1109.05084
Hartnell, Bert L.; Rall, Douglas F.
1
2006
Lower bounds for dominating Cartesian products. Zbl 0938.05048
Hartnell, Bert L.; Rall, Douglas F.
1
1999
A class of rings which are algebraic over the integers. Zbl 0425.16021
Rall, Douglas F.
1
1979
A fractional version of domatic number. Zbl 0691.05044
Rall, Douglas F.
1
1990
Finite and infinite hypercubes as direct products. Zbl 1115.05074
Imrich, Wilfried; Rall, Douglas
1
2006
A game of edge removal on graphs. Zbl 1187.91030
Gallant, Robert P.; Gunther, Georg; Hartnell, Bert L.; Rall, Douglas F.
1
2006
A vertex-magic edge labeling game. Zbl 1045.05079
Hartnell, B.; Rall, D.
1
2003
Improving some bounds for dominating Cartesian products. Zbl 1055.05115
Hartnell, Bert L.; Rall, Douglas F.
1
2003
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Zbl 1341.05064
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
1
2007
On the packing chromatic number of trees, Cartesian products and some infinite graphs. Zbl 1341.05089
Rall, Douglas F.; Brešar, Boštjan; Finbow, Arthur S.; Klavžar, Sandi
1
2008
Packing and domination invariants on Cartesian products and direct products. Zbl 1168.05353
Rall, Douglas F.
1
2008
A new framework to approach Vizing’s conjecture. Zbl 1459.05231
Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F.
1
2021
Domination games played on graphs. Zbl 1467.91015
Brešar, Boštjan; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
2
2021
A new framework to approach Vizing’s conjecture. Zbl 1459.05231
Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F.
1
2021
A survey on packing colorings. Zbl 1446.05031
Brešar, Boštjan; Ferme, Jasmina; Klavžar, Sandi; Rall, Douglas F.
2
2020
Domination game and minimal edge cuts. Zbl 1405.05115
Klavžar, Sandi; Rall, Douglas F.
9
2019
Packing chromatic vertex-critical graphs. Zbl 1411.05091
Klavžar, Sandi; Rall, Douglas F.
3
2019
Game total domination critical graphs. Zbl 1398.05135
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
12
2018
Packing chromatic number versus chromatic and clique number. Zbl 1390.05186
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
8
2018
On \(k\)-rainbow independent domination in graphs. Zbl 1427.05162
Kraner Šumenjak, Tadeja; Rall, Douglas F.; Tepeh, Aleksandra
4
2018
On well-covered Cartesian products. Zbl 1441.05197
Hartnell, Bert L.; Rall, Douglas F.; Wash, Kirsti
2
2018
The 4/5 upper bound on the game total domination number. Zbl 1399.05165
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
23
2017
Packing chromatic number under local changes in a graph. Zbl 1357.05037
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
19
2017
Packing chromatic number, \((1, 1, 2, 2)\)-colorings, and characterizing the Petersen graph. Zbl 1355.05194
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.; Wash, Kirsti
16
2017
Trees with equal total domination and game total domination numbers. Zbl 1365.05199
Henning, Michael A.; Rall, Douglas F.
15
2017
On minimum identifying codes in some Cartesian product graphs. Zbl 1371.05220
Rall, Doug F.; Wash, K.
3
2017
Uniformly dissociated graphs. Zbl 1380.05148
Brešar, Boštjan; Hartnell, Bert L.; Rall, Douglas F.
2
2017
Total dominating sequences in graphs. Zbl 1333.05214
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
19
2016
Packing chromatic number of base-3 Sierpiński graphs. Zbl 1342.05111
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
18
2016
Progress towards the total domination game \(\frac{3}{4}\)-conjecture. Zbl 1339.05255
Henning, Michael A.; Rall, Douglas F.
17
2016
Partitioning the vertex set of \(G\) to make \(G\square H\) an efficient open domination graph. Zbl 1400.05204
Šumenjak, Tadeja Kraner; Peterin, Iztok; Rall, Douglas F.; Tepeh, Aleksandra
3
2016
Total version of the domination game. Zbl 1321.05159
Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
43
2015
Guarded subgraphs and the domination game. Zbl 1311.05123
Brešar, Boštjan; Klavžar, Sandi; Košmrlj, Gasper; Rall, Doug F.
2
2015
On Cartesian products having a minimum dominating set that is a box or a stairway. Zbl 1327.05255
Brešar, Boštjan; Rall, Douglas F.
1
2015
Dominating sequences in graphs. Zbl 1300.05210
Brešar, Boštjan; Gologranc, Tanja; Milanič, Martin; Rall, Douglas F.; Rizzi, Romeo
19
2014
Relating the annihilation number and the 2-domination number of a tree. Zbl 1281.05104
Desormeaux, Wyatt J.; Henning, Michael A.; Rall, Douglas F.; Yeo, Anders
7
2014
Identifying codes of the direct product of two cliques. Zbl 1284.05200
Rall, Douglas F.; Wash, Kirsti
7
2014
Domination game played on trees and spanning subgraphs. Zbl 1262.05104
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
28
2013
Domination game: extremal families of graphs for \(3/5\)-conjectures. Zbl 1287.05088
Brešar, Boštjan; Klavžar, Sandi; Košmrlj, Gašper; Rall, Douglas F.
26
2013
Rainbow domination in the lexicographic product of graphs. Zbl 1286.05146
Šumenjak, Tadeja Kraner; Rall, Douglas F.; Tepeh, Aleksandra
23
2013
On graphs with disjoint dominating and 2-dominating sets. Zbl 1291.05144
Henning, Michael A.; Rall, Douglas F.
6
2013
On the Cartesian product of non well-covered graphs. Zbl 1266.05133
Hartnell, Bert L.; Rall, Douglas F.
4
2013
On graphs having maximal independent sets of exactly \(t\) distinct cardinalities. Zbl 1267.05189
Hartnell, Bert L.; Rall, Douglas F.
2
2013
Vizing’s conjecture: a survey and recent results. Zbl 1234.05173
Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F.
41
2012
Domination game and an imagination strategy. Zbl 1223.05189
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
72
2010
On the packing chromatic number of some lattices. Zbl 1221.05137
Finbow, Arthur S.; Rall, Douglas F.
30
2010
Limited packings in graphs. Zbl 1218.05132
Gallant, Robert; Gunther, Georg; Hartnell, Bert L.; Rall, Douglas F.
22
2010
Fair reception and Vizing’s conjecture. Zbl 1179.05080
Brešar, Boštjan; Rall, Douglas F.
5
2009
Rainbow domination in graphs. Zbl 1163.05046
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
77
2008
Broadcast chromatic numbers of graphs. Zbl 1224.05172
Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Harris, John M.; Rall, Douglas F.
59
2008
Topics in graph theory. Graphs and their Cartesian product. Zbl 1156.05001
Imrich, Wilfried; Klavžar, Sandi; Rall, Douglas F.
49
2008
Distance-balanced graphs. Zbl 1154.05026
Jerebic, Janja; Klavžar, Sandi; Rall, Douglas F.
31
2008
On the upper total domination number of Cartesian products of graphs. Zbl 1157.05042
Dorbec, Paul; Henning, Michael A.; Rall, Douglas F.
6
2008
Secondary domination in graphs. Zbl 1176.05055
Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Knisely, James; Rall, Douglas F.
5
2008
Limited packings in graphs. Zbl 1341.05208
Gallant, Robert; Gunther, Georg; Hartnell, Bert; Rall, Douglas
4
2008
On the packing chromatic number of trees, Cartesian products and some infinite graphs. Zbl 1341.05089
Rall, Douglas F.; Brešar, Boštjan; Finbow, Arthur S.; Klavžar, Sandi
1
2008
Packing and domination invariants on Cartesian products and direct products. Zbl 1168.05353
Rall, Douglas F.
1
2008
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Zbl 1126.05045
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
41
2007
Paired-domination of Cartesian products of graphs. Zbl 1161.05053
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
13
2007
Dominating direct products of graphs. Zbl 1116.05055
Brešar, Bostjan; Klavžar, Sandi; Rall, Douglas F.
12
2007
Cancellation properties of products of graphs. Zbl 1126.05071
Imrich, Wilfried; Klavžar, Sandi; Rall, Douglas F.
2
2007
On the packing chromatic number of Cartesian products, hexagonal lattice, and trees. Zbl 1341.05064
Brešar, Boštjan; Klavžar, Sandi; Rall, Douglas F.
1
2007
On graphs having uniform size star factors. Zbl 1109.05084
Hartnell, Bert L.; Rall, Douglas F.
1
2006
Finite and infinite hypercubes as direct products. Zbl 1115.05074
Imrich, Wilfried; Rall, Douglas
1
2006
A game of edge removal on graphs. Zbl 1187.91030
Gallant, Robert P.; Gunther, Georg; Hartnell, Bert L.; Rall, Douglas F.
1
2006
On the total domination number of Cartesian products of graphs. Zbl 1062.05109
Henning, Michael A.; Rall, Douglas F.
17
2005
Total domination in categorical products of graphs. Zbl 1074.05068
Rall, Douglas F.
16
2005
Paired-domination of Cartesian products of graphs and rainbow domination. Zbl 1200.05154
Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F.
14
2005
Bicritical domination. Zbl 1078.05062
Brigham, Robert C.; Haynes, Teresa W.; Henning, Michael A.; Rall, Douglas F.
10
2005
On dominating the Cartesian product of a graph and \(K_2\). Zbl 1063.05107
Hartnell, Bert L.; Rall, Douglas F.
30
2004
A vertex-magic edge labeling game. Zbl 1045.05079
Hartnell, B.; Rall, D.
1
2003
Improving some bounds for dominating Cartesian products. Zbl 1055.05115
Hartnell, Bert L.; Rall, Douglas F.
1
2003
On \(k\)-dependent domination. Zbl 0994.05108
Favaron, O.; Hedetniemi, S. M.; Hedetniemi, S. T.; Rall, D. F.
6
2002
On the independence number of the Cartesian product of caterpillars. Zbl 1071.05554
Martin, Scott P.; Powell, Jeffrey S.; Rall, Douglas F.
6
2001
Connected domatic number in planar graphs. Zbl 1079.05512
Hartnell, Bert L.; Rall, Douglas F.
3
2001
Fall colorings of graphs. Zbl 0962.05020
Dunbar, J. E.; Hedetniemi, S. M.; Hedetniemi, S. T.; Jacobs, D. P.; Knisely, J.; Laskar, R. C.; Rall, D. F.
11
2000
Acyclic domination. Zbl 0961.05052
Hedetniemi, S. M.; Hedetniemi, S. T.; Rall, D. F.
8
2000
A bound on the size of a graph with given order and bondage number. Zbl 0960.05074
Hartnell, Bert L.; Rall, Douglas F.
6
1999
Lower bounds for dominating Cartesian products. Zbl 0938.05048
Hartnell, Bert L.; Rall, Douglas F.
1
1999
Domination in Cartesian products: Vizing’s conjecture. Zbl 0890.05035
Hartnell, Bert; Rall, Douglas F.
24
1998
The watchman’s walk problem: An introduction. Zbl 0952.05053
Hartnell, B. L.; Rall, D. F.; Whitehead, C. A.
2
1998
On graphs in which every minimal total dominating set is minimum. Zbl 0899.05030
Hartnell, Bert; Rall, Douglas F.
2
1997
Associative graph products and their independence, domination and coloring numbers. Zbl 0865.05071
Nowakowski, Richard J.; Rall, Douglas F.
34
1996
The ultimate categorical independence ratio of a graph. Zbl 0848.05036
Brown, Jason I.; Nowakowski, Richard J.; Rall, Douglas
4
1996
Star-factors and \(k\)-bounded total domination. Zbl 0854.05088
Gunther, Georg; Hartnell, Bert; Rall, Douglas
1
1996
A characterization of graphs in which some minimum dominating set covers all the edges. Zbl 0836.05065
Hartnell, Bert; Rall, Douglas F.
9
1995
Vizing’s conjecture and the one-half argument. Zbl 0845.05074
Hartnell, Bert; Rall, Douglas F.
7
1995
Bounds on the bondage number of a graph. Zbl 0796.05051
Hartnell, Bert L.; Rall, Douglas F.
37
1994
Graphs with unique minimum dominating sets. Zbl 0836.05045
Gunther, G.; Hartnell, B.; Markus, L. R.; Rall, D.
13
1994
Graphs whose vertex independence number is unaffected by single edge addition or deletion. Zbl 0792.05116
Gunther, Georg; Hartnell, Bert; Rall, Douglas F.
8
1993
A characterization of trees in which no edge is essential to the domination number. Zbl 0767.05078
Hartnell, Bert L.; Rall, Douglas F.
18
1992
On Vizing’s conjecture. Zbl 0764.05092
Hartnell, Bert L.; Rall, Douglas F.
7
1991
Dominating a graph and its complement. Zbl 0728.05054
Rall, Douglas F.
1
1991
On \(n\)-irredundance and \(n\)-domination. Zbl 0743.05063
Jacobson, Michael S.; Peters, Kenneth; Rall, Douglas F.
5
1990
Domatically critical and domatically full graphs. Zbl 0745.05061
Rall, Douglas F.
4
1990
A fractional version of domatic number. Zbl 0691.05044
Rall, Douglas F.
1
1990
On iterated clique graphs with increasing diameters. Zbl 0596.05036
Peyrat, C.; Rall, D. F.; Slater, P. J.
8
1986
On location-domination numbers for certain classes of graphs. Zbl 0568.05033
Rall, Douglas F.; Slater, Peter J.
12
1984
A class of rings which are algebraic over the integers. Zbl 0425.16021
Rall, Douglas F.
1
1979
all top 5

Cited by 721 Authors

66 Klavžar, Sandi
49 Henning, Michael Anthony
46 Brešar, Boštjan
35 Rall, Douglas F.
27 Bujtás, Csilla
18 Volkmann, Lutz
15 Sheikholeslami, Seyed Mahmoud
15 Yero, Ismael Gonzalez
14 Jafari Rad, Nader
14 Tuza, Zsolt
13 Iršič, Vesna
11 Košmrlj, Gašper
11 Mojdeh, Doost Ali
11 Rodríguez-Velazquez, Juan Alberto
10 Dorbec, Paul
10 Peterin, Iztok
9 Leoni, Valeria Alejandra
9 Samadi, Babak
8 Chellali, Mustapha
8 Furuya, Michitaka
8 Hartnell, Bert L.
8 Lemańska, Magdalena
8 Nasini, Graciela L.
8 Shao, Zehui
8 Togni, Olivier
8 Xu, Junming
7 Cabrera Martínez, Abel
7 Dobson, Maria Patricia
7 Dravec, Tanja
7 Gastineau, Nicolas
7 Goddard, Wayne Dean
7 Haynes, Teresa W.
7 Topp, Jerzy
7 Xu, Kexiang
6 Ahangar, Hossein Abdollahzadeh
6 Amjadi, Jafar
6 Dettlaff, Magda
6 Ferme, Jasmina
6 Hedetniemi, Stephen Travis
6 Jakovac, Marko
6 Krzywkowski, Marcin
6 Patkós, Balázs
6 Rautenbach, Dieter
6 Šumenjak, Tadeja Kraner
6 Torres, Pablo Daniel
6 Wash, Kirsti
6 Żyliński, Paweł
5 Fujita, Shinya
5 Gledel, Valentin
5 Hu, Futao
5 Kos, Tim
5 Li, Zepeng
5 Miklavič, Štefko
5 Miotk, Mateusz
5 Raczek, Joanna
5 Horvat, Aleksandra Tepeh
5 Vesel, Aleksander
5 Vijayakumar, Ambat
5 Vizer, Máté
5 Worawannotai, Chalermpong
4 Balakrishnan, Kannan
4 Dehgardi, Nasrin
4 Hao, Guoliang
4 Hinrichsen, Erica G.
4 Holub, Přemysl
4 Hooshmandasl, Mohammad Reza
4 Huang, Jia
4 Hujdurović, Ademir
4 Kang, Liying
4 Klostermeyer, William F.
4 Krop, Elliot
4 Kuenzel, Kirsti
4 Levit, Vadim E.
4 Liu, Xujun
4 Magnant, Colton
4 Meybodi, Mohsen Alambardar
4 Milanič, Martin
4 Mynhardt, Christina Magdalena
4 Rus, Gregor
4 Shan, Erfang
4 Šparl, Primož
4 Wang, Yue-Li
4 Yi, Eunjeong
4 Zhao, Weisheng
3 Anderson, Sarah E.
3 Argiroffo, Gabriela R.
3 Asgharsharghi, Leila
3 Ashrafi, Ali Reza
3 Bermudo, Sergio
3 Bonomo-Braberman, Flavia
3 Borowiecki, Mieczysław
3 Brigham, Robert C.
3 Changat, Manoj
3 Chithra, M. R.
3 Deng, Kecai
3 Dutton, Ronald D.
3 Fiala, Jiří
3 Finbow, Arthur S.
3 Fischermann, Miranca
3 Gözüpek, Didem
...and 621 more Authors
all top 5

Cited in 97 Serials

127 Discrete Applied Mathematics
86 Discrete Mathematics
41 Graphs and Combinatorics
33 Discussiones Mathematicae. Graph Theory
30 Journal of Combinatorial Optimization
17 Discrete Mathematics, Algorithms and Applications
16 Applied Mathematics and Computation
13 Theoretical Computer Science
13 The Electronic Journal of Combinatorics
13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
11 Information Processing Letters
11 AKCE International Journal of Graphs and Combinatorics
9 Aequationes Mathematicae
8 European Journal of Combinatorics
8 The Australasian Journal of Combinatorics
8 Ars Mathematica Contemporanea
7 Discrete Optimization
7 Asian-European Journal of Mathematics
6 Journal of Mathematical Chemistry
5 Bulletin of the Australian Mathematical Society
5 Journal of Graph Theory
5 Quaestiones Mathematicae
5 Journal of Discrete Mathematical Sciences & Cryptography
4 Opuscula Mathematica
4 Theory of Computing Systems
4 Transactions on Combinatorics
4 Communications in Combinatorics and Optimization
3 Applied Mathematics Letters
3 International Journal of Computer Mathematics
3 Linear Algebra and its Applications
3 Filomat
3 Applicable Analysis and Discrete Mathematics
3 Electronic Journal of Graph Theory and Applications
3 AIMS Mathematics
2 Computers & Mathematics with Applications
2 Czechoslovak Mathematical Journal
2 Journal of Combinatorial Theory. Series B
2 Results in Mathematics
2 SIAM Journal on Discrete Mathematics
2 Computer Science Journal of Moldova
2 Fundamenta Informaticae
2 Frontiers of Mathematics in China
2 Advances and Applications in Discrete Mathematics
2 International Journal of Combinatorics
1 Mathematical Notes
1 Periodica Mathematica Hungarica
1 Rocky Mountain Journal of Mathematics
1 Ukrainian Mathematical Journal
1 The Mathematical Intelligencer
1 Fuzzy Sets and Systems
1 Information Sciences
1 Journal of Computer and System Sciences
1 Journal of the Mathematical Society of Japan
1 Journal of Soviet Mathematics
1 Networks
1 Utilitas Mathematica
1 Combinatorica
1 Acta Mathematica Hungarica
1 Bulletin of the Iranian Mathematical Society
1 Journal of Symbolic Computation
1 Journal of Complexity
1 Algorithmica
1 Mathematical and Computer Modelling
1 Journal of Parallel and Distributed Computing
1 Designs, Codes and Cryptography
1 Applied Mathematical Modelling
1 Journal of Algebraic Combinatorics
1 Turkish Journal of Mathematics
1 Georgian Mathematical Journal
1 Boletín de la Sociedad Matemática Mexicana. Third Series
1 International Transactions in Operational Research
1 Vietnam Journal of Mathematics
1 Taiwanese Journal of Mathematics
1 Journal of Shanghai University
1 Annals of Combinatorics
1 Discrete Mathematics and Theoretical Computer Science. DMTCS
1 Acta Mathematica Sinica. English Series
1 RAIRO. Operations Research
1 Iranian Journal of Science and Technology. Transaction A: Science
1 Journal of Applied Mathematics and Computing
1 Central European Journal of Mathematics
1 Thai Journal of Mathematics
1 Journal of the Indonesian Mathematical Society
1 The Australian Journal of Mathematical Analysis and Applications
1 Cubo
1 Contributions to Discrete Mathematics
1 Cryptography and Communications
1 Arabian Journal of Mathematics
1 Palestine Journal of Mathematics
1 Chamchuri Journal of Mathematics
1 Electronic Journal of Mathematical Analysis and Applications EJMAA
1 Journal of Mathematics
1 International Journal of Applied and Computational Mathematics
1 Open Mathematics
1 Cogent Mathematics
1 Mathematical Foundations of Computing
1 DML. Discrete Mathematics Letters

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