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Author ID: volkmann.lutz Recent zbMATH articles by "Volkmann, Lutz"
Published as: Volkmann, Lutz; Volkmann, L.
Homepage: http://www.math2.rwth-aachen.de/volkmann
External Links: MGP · dblp
Documents Indexed: 472 Publications since 1974, including 6 Books
Reviewing Activity: 185 Reviews
Biographic References: 3 Publications
Co-Authors: 129 Co-Authors with 343 Joint Publications
2,756 Co-Co-Authors
all top 5

Co-Authors

129 single-authored
86 Sheikholeslami, Seyed Mahmoud
27 Rautenbach, Dieter
26 Jafari Rad, Nader
22 Hansberg, Adriana
22 Meierling, Dirk
20 Chellali, Mustapha
18 Winzen, Stefan
16 Dehgardi, Nasrin
16 Fischermann, Miranca
15 Hellwig, Angelika
14 Amjadi, Jafar
14 Guo, Yubao
12 Dankelmann, Peter
11 Jank, Gerhard
11 Topp, Jerzy
10 Atapour, Maryam
9 Randerath, Bert
8 Hoffmann, Arne
8 Tewes, Meike
7 Ahangar, Hossein Abdollahzadeh
7 Aram, Hamideh
6 Mojdeh, Doost Ali
5 Blidia, Mostafa
5 Favaron, Odile
5 Haynes, Teresa W.
5 Khoeilar, Rana
5 Samadi, Babak
4 Asgharsharghi, Leila
4 Holtkamp, Andreas
4 Karami, Hossein
4 Nazari-Moghaddam, Sakineh
3 Bahremandpour, A.
3 Ghameshlou, Arezoo Nazi
3 Hao, Guoliang
3 Henning, Michael Anthony
3 Klinkenberg, Sabine
3 Soroudi, Marzieh
3 Stella, Irene
3 Volkmann, Peter
3 Yeo, Anders
2 Bang-Jensen, Jørgen
2 Bergweiler, Walter
2 Bouchou, Ahmed
2 Chen, Xiaodan
2 Dahme, Franz
2 Dohmen, Lothar
2 Flach, Peter A.
2 He, Zhihong
2 Hong, Zhenmu
2 Hosseini Moghaddam, Seyyed Mehdi
2 Kämmerling, Karsten
2 Khodkar, Abdollah
2 Korneffel, Torsten
2 Milz, Sebastian
2 Norouzian, Sepideh
2 Ouldrabah, Lyes
2 Samodivkin, Vladimir D.
2 Schiermeyer, Ingo
2 Su, Guifu
2 Tong, Jie
2 Ueffing, Nicola
2 Wang, Haichao
2 Zingsem, Axel
2 Zverovich, Vadim E.
1 Alibeigi, Zeinab
1 Arumugam, Subramanian
1 Azvin, Farzaneh
1 Bodaghli, Asghar
1 Bongard, Kerstin
1 Bonsma, Paul S.
1 Brosch, Gunnar
1 Brüggemann, Franz
1 Butzer, Paul Leo
1 Chellalil, M.
1 Chen, Zhibing
1 Doppel, Karl
1 Dunbar, Jean E.
1 Ebrahimi Targhi, E.
1 Falahat, Mohyedin
1 Fujisawa, Jun
1 Furuya, Michitaka
1 Golmohammadi, Hamidreza
1 Guo, Jia
1 Guo, Litao
1 Gutin, Gregory Z.
1 Hajian, Majid
1 Hajypory, Rana
1 Hasni, Roslan
1 Jafari, Rad Nader
1 Joentgen, Arno
1 Kazemi, Adel P.
1 Kosari, Saeed
1 Kubo, Takahiro
1 Küpper, Beate
1 Lenkewitz, Ursula
1 Liu, Xinmiao
1 Lu, Mei
1 Maschlanka, Peter
1 MacKee, Terry Allan
1 Meng, Wei
...and 29 more Co-Authors
all top 5

Serials

69 Discrete Mathematics
36 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing
34 The Australasian Journal of Combinatorics
32 Ars Combinatoria
28 Discrete Applied Mathematics
28 Discussiones Mathematicae. Graph Theory
24 Utilitas Mathematica
17 Journal of Graph Theory
13 Communications in Combinatorics and Optimization
10 Complex Variables. Theory and Application
10 Graphs and Combinatorics
9 AKCE International Journal of Graphs and Combinatorics
8 Applied Mathematics Letters
7 Journal of Combinatorial Optimization
6 Results in Mathematics
6 Aequationes Mathematicae
6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
5 Tamkang Journal of Mathematics
5 Filomat
4 Information Processing Letters
4 Analele Universității București. Matematică
4 Czechoslovak Mathematical Journal
4 Acta Mathematica Universitatis Comenianae. New Series
4 The Electronic Journal of Combinatorics
4 Opuscula Mathematica
4 Acta Mathematica Sinica. English Series
3 Bulletin Mathématique de la Société des Sciences Mathématiques de la République Socialiste de Roumanie. Nouvelle Série
3 Kyungpook Mathematical Journal
3 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică
3 RAIRO. Operations Research
3 Kragujevac Journal of Mathematics
3 Annales Mathematicae et Informaticae
3 Discrete Mathematics, Algorithms and Applications
2 Revue Roumaine de Mathématiques Pures et Appliquées
2 Analele Științifice ale Universității Al. I. Cuza din Iași. (Serie Nouă.) Secțiunea Ia. Matematică-Informatică
2 Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
2 Archiv der Mathematik
2 Journal of Combinatorial Theory. Series B
2 Journal of the Korean Mathematical Society
2 Matematički Vesnik
2 Mathematica Slovaca
2 International Journal of Computer Mathematics
2 Central European Journal of Mathematics
2 Miskolc Mathematical Notes
2 Contributions to Discrete Mathematics
2 Asian-European Journal of Mathematics
2 Transactions on Combinatorics
2 Electronic Journal of Graph Theory and Applications
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Periodica Mathematica Hungarica
1 Bulletin of the London Mathematical Society
1 Fasciculi Mathematici
1 Journal of Approximation Theory
1 Journal of Combinatorics, Information & System Sciences
1 Mathematische Annalen
1 Mathématica – Revue d’Analyse Numérique et de Théorie de l’Approximation. Mathématica
1 Mathematica Scandinavica
1 Networks
1 Quaestiones Mathematicae
1 Combinatorica
1 Bulletin of the Iranian Mathematical Society
1 Mathematica Bohemica
1 Mathematica Pannonica
1 Discussiones Mathematicae
1 Bulletin of the Institute of Combinatorics and its Applications
1 Mathematical Communications
1 Mathematical Methods of Operations Research
1 Acta Universitatis Apulensis. Mathematics - Informatics
1 Journal of University of Science and Technology of China
1 Algebra and Discrete Mathematics
1 Advanced Studies in Contemporary Mathematics (Kyungshang)
1 Aachener Beiträge zur Mathematik
1 Applicable Analysis and Discrete Mathematics

Publications by Year

Citations contained in zbMATH Open

366 Publications have been cited 2,344 times in 1,184 Documents Cited by Year
Introduction to the theory of entire and meromorphic functions with applications to differential equations. (Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen.) Zbl 0682.30001
Jank, Gerhard; Volkmann, Lutz
77
1985
Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038
Hellwig, Angelika; Volkmann, Lutz
72
2008
\(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174
Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz
68
2012
Edge-cuts leaving components of order at least three. Zbl 1017.05063
Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz
55
2002
Wiener index versus maximum degree in trees. Zbl 0993.05061
Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Székely, László; Volkmann, Lutz
53
2002
Meromorphe Funktionen, die mit ihrer ersten und zweiten Ableitung einen endlichen Wert teilen. (Meromorphic functions which share some finite value with its first and second derivative). Zbl 0603.30037
Jank, Gerhard; Mues, Erwin; Volkmann, Lutz
48
1986
Sufficient conditions for graphs to be \(\lambda'\)-optimal, super-edge-connected, and maximally edge-connected. Zbl 1062.05084
Hellwig, Angelika; Volkmann, Lutz
39
2005
Cycles in multipartite tournaments: Results and problems. Zbl 0996.05063
Volkmann, Lutz
34
2002
A classification of locally semicomplete digraphs. Zbl 0873.05072
Bang-Jensen, Jørgen; Guo, Yubao; Gutin, Gregory; Volkmann, Lutz
33
1997
New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054
Rautenbach, Dieter; Volkmann, Lutz
31
2007
Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056
Hellwig, Angelika; Volkmann, Lutz
28
2004
Multipartite tournaments: a survey. Zbl 1134.05033
Volkmann, Lutz
27
2007
Double Roman domination and domatic numbers of graphs. Zbl 1384.05128
Volkmann, Lutz
27
2018
Bondage, insensitivity, and reinforcement. Zbl 0894.05025
Dunbar, Jean E.; Teschner, Ulrich; Haynes, Teresa W.; Volkmann, Lutz
26
1998
Upper bounds on the \(k\)-domination number and the \(k\)-Roman domination number. Zbl 1179.05081
Hansberg, Adriana; Volkmann, Lutz
26
2009
On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110
Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz
24
2008
Inverse degree and edge-connectivity. Zbl 1203.05082
Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz
23
2009
Restricted arc-connectivity of digraphs. Zbl 1183.05046
Volkmann, Lutz
23
2007
Signed Roman domination in digraphs. Zbl 1327.05141
Sheikholeslami, S. M.; Volkmann, L.
20
2015
The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139
Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz
20
2012
Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043
Guo, Yubao; Volkmann, Lutz
20
1994
Signed total Roman domination in graphs. Zbl 1348.05159
Volkmann, Lutz
19
2016
An upper bound on the double Roman domination number. Zbl 1437.05177
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L.
19
2018
Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053
Ueffing, Nicola; Volkmann, Lutz
18
2003
Vertex pancyclic graphs. Zbl 1001.05070
Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz
18
2002
Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049
Dankelmann, Peter; Volkmann, Lutz
17
1997
Roman domination perfect graphs. Zbl 1313.05284
Rad, Nader Jafari; Volkmann, Lutz
17
2011
Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041
Niessen, Thomas; Volkmann, Lutz
16
1990
Total Roman domination number of trees. Zbl 1375.05190
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L.
16
2017
Characterization of graphs with equal domination and covering number. Zbl 0955.05088
Randerath, Bert; Volkmann, Lutz
16
1998
On packing and covering numbers of graphs. Zbl 0759.05077
Topp, Jerzy; Volkmann, Lutz
16
1991
New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065
Dankelmann, Peter; Volkmann, Lutz
16
1995
Varieties of Roman domination. II. Zbl 1468.05202
Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L.
16
2020
Signed Roman \(k\)-domination in graphs. Zbl 1331.05170
Henning, Michael A.; Volkmann, Lutz
15
2016
Cuts leaving components of given minimum order. Zbl 1063.05079
Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz
15
2005
Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200
Meierling, D.; Sheikholeslami, S. M.; Volkmann, L.
15
2011
Roman \(k\)-domination in graphs. Zbl 1177.05084
Kämmerling, Karsten; Volkmann, Lutz
15
2009
The rainbow domination subdivision numbers of graph. Zbl 1464.05284
Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L.
14
2015
Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069
Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz
14
2006
On the well coveredness of products of graphs. Zbl 0776.05090
Topp, Jerzy; Volkmann, Lutz
14
1992
Maximal Roman domination numbers in graphs. Zbl 1373.05133
Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L.
14
2017
Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. Zbl 0993.05083
Tewes, Meike; Volkmann, Lutz; Yeo, Anders
14
2002
Global Roman domination in trees. Zbl 1318.05049
Atapour, M.; Sheikholeslami, S. M.; Volkmann, L.
13
2015
On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119
Hansberg, A.; Volkmann, L.
13
2010
Signed domatic number of a graph. Zbl 1079.05071
Volkmann, Lutz; Zelinka, Bohdan
13
2005
A new domination conception. Zbl 0777.05074
Stracke, Christoph; Volkmann, Lutz
13
1993
Cycles in multipartite tournaments. Zbl 0807.05034
Guo, Yubao; Volkmann, Lutz
13
1994
On complementary cycles in locally semicomplete digraphs. Zbl 0816.05036
Guo, Yubao; Volkmann, Lutz
13
1994
Signed total Roman domination in digraphs. Zbl 1354.05063
Volkmann, Lutz
13
2017
Fundaments of graph theory. (Fundamente der Graphentheorie.) Zbl 0844.05001
Volkmann, Lutz
13
1996
Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046
Tewes, Meike; Volkmann, Lutz
12
1999
Signed Roman \(k\)-domination in trees. Zbl 1311.05150
Henning, Michael A.; Volkmann, Lutz
12
2015
New bounds on the rainbow domination subdivision number. Zbl 1464.05286
Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
12
2014
The Roman domination number of a digraph. Zbl 1265.05470
Sheikholeslami, S. M.; Volkmann, L.
12
2011
The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080
Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L.
11
2014
On graphs with equal domination and 2-domination numbers. Zbl 1145.05041
Hansberg, Adriana; Volkmann, Lutz
11
2008
Remarks on the bondage number of planar graphs. Zbl 1009.05104
Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz
11
2003
On cycles through a given vertex in multipartite tournaments. Zbl 0883.05087
Guo, Yubao; Pinkernell, Axel; Volkmann, Lutz
11
1997
Changing and unchanging the roman domination number of graph. Zbl 1273.05162
Jafari Rad, Nader; Volkmann, Lutz
11
2012
The double Roman domatic number of a graph. Zbl 1390.05181
Volkmann, Lutz
11
2018
A characterization of well covered block-cactus graphs. Zbl 0805.05070
Randerath, Bert; Volkmann, Lutz
11
1994
Roman domination in graphs. Zbl 1479.05255
Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
11
2020
Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031
Topp, Jerzy; Volkmann, Lutz
10
1990
A linear-programming approach to the generalized Randić index. Zbl 1020.05036
Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz
10
2003
Total and connected domination in digraphs. Zbl 1244.05163
Arumugam, S.; Jacob, K.; Volkmann, Lutz
10
2007
Independence and \(k\)-domination in graphs. Zbl 1210.05096
Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz
10
2011
Signed Roman edge domination numbers in graphs. Zbl 1331.05165
Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y.
9
2016
Vertex and edge critical Roman domination in graphs. Zbl 1293.05264
Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz
9
2013
Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019
Dankelmann, Peter; Volkmann, Lutz
9
2000
On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221
Volkmann, Lutz
9
2016
The roman domatic number of a graph. Zbl 1193.05129
Sheikholeslami, S. M.; Volkmann, L.
9
2010
Total double Roman domination in graphs. Zbl 1449.05200
Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali
9
2020
Sufficient conditions for equality of connectivity and minimum degree of a graph. Zbl 0794.05063
Topp, Jerzy; Volkmann, Lutz
9
1993
On graphs with equal domination and covering numbers. Zbl 0803.05049
Volkmann, Lutz
9
1994
Varieties of Roman domination. Zbl 1479.05253
Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L.
9
2021
Estimations for the domination number of a graph. Zbl 0699.05055
Flach, Peter; Volkmann, Lutz
8
1990
Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064
Volkmann, Lutz
8
2004
Strong subtournaments of multipartite tournaments. Zbl 0935.05051
Volkmann, Lutz
8
1999
Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028
Volkmann, Lutz; Winzen, Stefan
8
2008
Vertex pancyclic in-tournaments. Zbl 0971.05052
Tewes, Meike; Volkmann, Lutz
8
2001
Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087
Volkmann, Lutz
8
2018
Tree-Ramsey numbers. Zbl 0828.05043
Guo, Yubao; Volkmann, Lutz
8
1995
Locally semicomplete digraphs that are complementary \(m\)-pancyclic. Zbl 0845.05048
Guo, Yubao; Volkmann, Lutz
8
1996
Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209
Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2016
Graphs with large geodetic number. Zbl 1464.05276
Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2015
Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104
Volkmann, Lutz
7
2016
A note on the number of matchings and independent sets in trees. Zbl 1056.05035
Fischermann, Miranca; Volkmann, Lutz; Rautenbach, Dieter
7
2005
Estimations for the number of cycles in a graph. Zbl 0880.05057
Volkmann, L.
7
1996
On the cycle structure of in-tournaments. Zbl 0914.05034
Tewes, Meike; Volkmann, Lutz
7
1998
All regular multipartite tournaments that are cycle complementary. Zbl 1049.05043
Volkmann, Lutz
7
2004
The signed \(k\)-domination number of directed graphs. Zbl 1223.05092
Atapour, Maryam; Sheikholeslami, Seyyed Mahmoud; Hajypory, Rana; Volkmann, Lutz
7
2010
Independence and 2-domination in bipartite graphs. Zbl 1147.05052
Fujisawa, Jun; Hansberg, Adriana; Kubo, Takahiro; Saito, Akira; Sugita, Masahide; Volkmann, Lutz
7
2008
The signed Roman domatic number of a graph. Zbl 1274.05366
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2012
Geodetic domination in graphs. Zbl 1238.05072
Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L.
7
2011
Signed domatic numbers of the complete bipartite graphs. Zbl 1104.05058
Volkmann, Lutz
7
2005
Distance domination and distance irredundance in graphs. Zbl 1122.05070
Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz
7
2007
On graphs with equal domination and independent domination numbers. Zbl 0746.05073
Topp, Jerzy; Volkmann, Lutz
7
1991
Roman bondage in graphs. Zbl 1255.05137
Jafari Rad, Nader; Volkmann, Lutz
7
2011
The connectivity of a graph and its complement. Zbl 1178.05055
Hellwig, Angelika; Volkmann, Lutz
7
2008
Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098
Chen, Zhibing; Su, Guifu; Volkmann, Lutz
7
2017
Varieties of Roman domination. Zbl 1479.05253
Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L.
9
2021
Bounds on the outer-independent double Italian domination number. Zbl 07392978
Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz
3
2021
Domination number, independent domination number and 2-independence number in trees. Zbl 1453.05089
Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz
1
2021
Varieties of Roman domination. II. Zbl 1468.05202
Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L.
16
2020
Roman domination in graphs. Zbl 1479.05255
Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
11
2020
Total double Roman domination in graphs. Zbl 1449.05200
Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali
9
2020
Graphs with large Italian domination number. Zbl 1451.05174
Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz
6
2020
A survey on Roman domination parameters in directed graphs. Zbl 1466.05161
Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L.
6
2020
Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165
Mojdeh, Doost Ali; Volkmann, Lutz
5
2020
On the signed Roman \(k\)-domination in graphs. Zbl 1452.05115
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L.
3
2020
Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Zbl 07232879
Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz
1
2020
The double Roman domatic number of a digraph. Zbl 1446.05074
Volkmann, Lutz
1
2020
A note on the Roman domatic number of a digraph. Zbl 1449.05205
Volkmann, Lutz; Meierling, D.
1
2020
Weak signed Roman domination in graphs. Zbl 07392961
Volkmann, Lutz
1
2020
Multiple domination. Zbl 1479.05267
Hansberg, Adriana; Volkmann, Lutz
1
2020
Double Roman domination in digraphs. Zbl 1419.05091
Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz
4
2019
Italian domination in digraphs. Zbl 1452.05132
Volkmann, Lutz
4
2019
Nonnegative signed Roman domination in graphs. Zbl 1452.05119
Dehgardi, Nasrin; Volkmann, L.
4
2019
The Italian domatic number of a digraph. Zbl 1412.05085
Volkmann, Lutz
3
2019
The Roman \(\{2 \}\)-domatic number of graphs. Zbl 1407.05185
Volkmann, Lutz
3
2019
Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168
Hajian, Majid; Rad, Nader Jafari; Volkmann, Lutz
2
2019
On the co-Roman domination in graphs. Zbl 1404.05158
Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao
2
2019
Signed edge \(k\)-independence in graphs. Zbl 1428.05231
Dehgardi, Nasrin; Volkmann, Lutz
1
2019
Locating Roman domination in graphs. Zbl 1427.05168
Rad, Nader Jafari; Rahbani, Hadi; Volkmann, Lutz
1
2019
Bounds on the signed Roman \(k\)-domination number of a digraph. Zbl 1401.05213
Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz
1
2019
Double Roman domination and domatic numbers of graphs. Zbl 1384.05128
Volkmann, Lutz
27
2018
An upper bound on the double Roman domination number. Zbl 1437.05177
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L.
19
2018
The double Roman domatic number of a graph. Zbl 1390.05181
Volkmann, Lutz
11
2018
Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087
Volkmann, Lutz
8
2018
Relating the annihilation number and the Roman domination number. Zbl 1413.05278
Aram, H.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L.
2
2018
Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Zbl 1376.05065
Milz, Sebastian; Volkmann, Lutz
1
2018
The restrained rainbow bondage number of a graph. Zbl 1400.05168
Amjadi, J.; Dehgardi, N.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L.
1
2018
Total Roman domination number of trees. Zbl 1375.05190
Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L.
16
2017
Maximal Roman domination numbers in graphs. Zbl 1373.05133
Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L.
14
2017
Signed total Roman domination in digraphs. Zbl 1354.05063
Volkmann, Lutz
13
2017
Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098
Chen, Zhibing; Su, Guifu; Volkmann, Lutz
7
2017
The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205
Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L.
7
2017
Twin signed domination numbers in directed graphs. Zbl 1386.05130
Atapour, Maryam; Norouzian, Sepideh; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
4
2017
Sufficient conditions for maximally edge-connected and super-edge-connected. Zbl 1386.05098
Volkmann, Lutz; Hong, Zhen-Mu
3
2017
The signed total Roman \(k\)-domatic number of a graph. Zbl 1372.05165
Volkmann, Lutz
3
2017
Roman game domination number of a graph. Zbl 1409.91056
Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L.
2
2017
An introduction to the twin signed total -domination numbers in directed graphs. Zbl 1393.05195
Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L.
1
2017
Lower bounds on the signed \(k\)-domination number of graphs. Zbl 1463.05427
Volkmann, Lutz
1
2017
Bounds on the \(l\)-total \(k\)-domatic number of a graph. Zbl 1383.05247
Volkmann, Lutz
1
2017
Signed Roman edge \(k\)-domination in graphs. Zbl 1354.05102
Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
1
2017
Universal arcs in local tournaments. Zbl 1370.05081
Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz
1
2017
Twin signed Roman domatic numbers in digraphs. Zbl 1377.05146
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
1
2017
On the signed \(2\)-independence number of graphs. Zbl 1467.05189
Hosseini Moghaddam, S. M.; Mojdeh, D. A.; Samadi, Babak; Volkmann, Lutz
1
2017
Signed total Roman domination in graphs. Zbl 1348.05159
Volkmann, Lutz
19
2016
Signed Roman \(k\)-domination in graphs. Zbl 1331.05170
Henning, Michael A.; Volkmann, Lutz
15
2016
Signed Roman edge domination numbers in graphs. Zbl 1331.05165
Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y.
9
2016
On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221
Volkmann, Lutz
9
2016
Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209
Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2016
Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104
Volkmann, Lutz
7
2016
Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218
Dehgardi, Nasrin; Volkmann, Lutz
7
2016
Claw-free graphs with equal 2-domination and domination numbers. Zbl 1462.05277
Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz
5
2016
Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected digraphs. Zbl 1365.05114
Volkmann, L.
5
2016
The signed Roman \(k\)-domatic number of digraphs. Zbl 1333.05232
Volkmann, Lutz
4
2016
Global rainbow domination in graphs. Zbl 1389.05119
Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.
4
2016
Signed mixed Roman domination numbers in graphs. Zbl 1352.05140
Abdollahzadeh Ahangar, H.; Asgharsharghi, L.; Sheikholeslami, S. M.; Volkmann, L.
3
2016
Lower bounds on the signed total \(k\)-domination number of graphs. Zbl 1336.05105
Volkmann, Lutz
3
2016
The \(k\)-rainbow domination and domatic numbers of digraphs. Zbl 1342.05104
Sheikholeslami, S. M.; Volkmann, Lutz
2
2016
Total restrained reinforcement in graphs. Zbl 1346.05219
Rad, Nader Jafari; Volkmann, Lutz
1
2016
Rainbow restrained domination numbers in graphs. Zbl 1413.05275
Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.
1
2016
On the rainbow restrained domination number. Zbl 1413.05271
Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Samodivkin, V.; Volkmann, L.
1
2016
Edge-removal and edge-addition in \(\alpha \)-domination. Zbl 1338.05203
Jafari Rad, Nader; Volkmann, Lutz
1
2016
New bounds on the signed total domination number of graphs. Zbl 1334.05103
Hosseini Moghaddam, Seyyed Mehdi; Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz
1
2016
Signed Roman domination in digraphs. Zbl 1327.05141
Sheikholeslami, S. M.; Volkmann, L.
20
2015
The rainbow domination subdivision numbers of graph. Zbl 1464.05284
Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L.
14
2015
Global Roman domination in trees. Zbl 1318.05049
Atapour, M.; Sheikholeslami, S. M.; Volkmann, L.
13
2015
Signed Roman \(k\)-domination in trees. Zbl 1311.05150
Henning, Michael A.; Volkmann, Lutz
12
2015
Graphs with large geodetic number. Zbl 1464.05276
Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2015
The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147
Volkmann, Lutz
4
2015
The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142
Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
2
2015
On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261
Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz
1
2015
The signed Roman domatic number of a digraph. Zbl 1467.05099
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
1
2015
New bounds on the rainbow domination subdivision number. Zbl 1464.05286
Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
12
2014
The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080
Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L.
11
2014
\(k\)-tuple total domatic number of a graph. Zbl 1310.05164
Sheikholeslami, S. M.; Volkmann, L.
3
2014
Upper bounds for the domination number in graphs of diameter two. Zbl 1293.05270
Meierling, Dirk; Volkmann, Lutz
3
2014
Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143
Sheikholeslami, S. M.; Volkmann, L.
1
2014
Signed \(k\)-independence in graphs. Zbl 1284.05205
Volkmann, Lutz
1
2014
Bounds on the \(k\)-independence and \(k\)-chromatic numbers of graphs. Zbl 1313.05106
Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz
1
2014
Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078
He, Zhihong; Volkmann, Lutz; Wang, Yan
1
2014
Vertex and edge critical Roman domination in graphs. Zbl 1293.05264
Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz
9
2013
On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. Zbl 1261.05074
Aram, H.; Sheikholeslami, S. M.; Volkmann, L.
6
2013
The rainbow domination number of a digraph. Zbl 1299.05249
Amjadi, J.; Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L.
6
2013
A note on the independent domination number in graphs. Zbl 1287.05107
Rad, Nader Jafari; Volkmann, Lutz
3
2013
Total restrained bondage in graphs. Zbl 1283.05208
Rad, Nader Jafari; Hasni, Roslan; Raczek, Joanna; Volkmann, Lutz
3
2013
Signed \(k\)-domatic numbers of digraphs. Zbl 1317.05067
Aram, H.; Atapour, M.; Sheikholeslami, S. M.; Volkmann, L.
3
2013
Roman game domination subdivision number of a graph. Zbl 1301.05066
Amjadi, Jafar; Karami, Hossein; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
2
2013
Bounds on the signed 2-independence number in graphs. Zbl 1295.05182
Volkmann, Lutz
2
2013
Complementary cycles in almost regular multipartite tournaments, where one cycle has length four. Zbl 1286.05058
Volkmann, Lutz
1
2013
Roman domination dot-critical graphs. Zbl 1267.05191
Jafari Rad, Nader; Volkmann, Lutz
1
2013
\(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174
Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz
68
2012
The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139
Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz
20
2012
Changing and unchanging the roman domination number of graph. Zbl 1273.05162
Jafari Rad, Nader; Volkmann, Lutz
11
2012
The signed Roman domatic number of a graph. Zbl 1274.05366
Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz
7
2012
On the total domatic number of regular graphs. Zbl 1293.05253
Aram, H.; Sheikholeslami, S. M.; Volkmann, L.
5
2012
Some results on roman domination edge critical graphs. Zbl 1257.05113
Chellali, Mustapha; Jafari Rad, Nader; Volkmann, Lutz
5
2012
...and 266 more Documents
all top 5

Cited by 1,223 Authors

153 Volkmann, Lutz
69 Sheikholeslami, Seyed Mahmoud
37 Chellali, Mustapha
35 Henning, Michael Anthony
33 Jafari Rad, Nader
27 Rautenbach, Dieter
25 Amjadi, Jafar
22 Ahangar, Hossein Abdollahzadeh
20 Wang, Shiying
20 Xu, Junming
18 Balbuena, Camino
18 Guo, Yubao
18 Meng, Jixiang
16 García-Vázquez, Pedro
16 Meierling, Dirk
15 Hao, Guoliang
15 Yi, Hongxun
14 Dankelmann, Peter
14 Dehgardi, Nasrin
14 Mojdeh, Doost Ali
14 Zhang, Zhao
13 Bang-Jensen, Jørgen
13 Nazari-Moghaddam, Sakineh
12 Hansberg, Adriana
12 Lin, Shangwei
12 Shao, Zehui
11 Khoeilar, Rana
11 Li, Xiaomin
11 Shan, Erfang
10 Haynes, Teresa W.
10 Hellwig, Angelika
10 Montejano, Luis Pedro
10 Wang, Jun
10 Winzen, Stefan
10 Yeo, Anders
9 Bergweiler, Walter
9 Guo, Qiaoping
9 Klavžar, Sandi
9 Lu, Mei
9 Ou, Jianping
8 Blidia, Mostafa
8 Bujtás, Csilla
8 Li, Ruijuan
8 Li, Shengjia
8 Meng, Wei
8 Vatandoost, Ebrahim
8 Yang, Weihua
7 Diánez, Ana
7 He, Zhihong
7 Hedetniemi, Stephen Travis
7 Kang, Liying
7 Lahiri, Indrajit
7 Levit, Vadim E.
7 Liu, Qinghai
7 Mandrescu, Eugen
7 Samadi, Babak
7 Yero, Ismael Gonzalez
7 Zhao, Shuang
6 Cabrera Martínez, Abel
6 Chen, Xiaodan
6 Fang, Mingliang
6 Galeana-Sánchez, Hortensia
6 Gutin, Gregory Z.
6 Hong, Yanmei
6 Hu, Futao
6 Huang, Jia
6 Laine, Ilpo
6 Li, Chunfang
6 Lu, You
6 Marcote, Xavier
6 Tian, Yingzhi
6 Wu, Baoyindureng
6 Wu, Pu
6 Zhang, Heping
6 Zverovich, Vadim E.
5 Asgharsharghi, Leila
5 Atapour, Maryam
5 Bouchou, Ahmed
5 Caro, Yair
5 Cera, Martín
5 Cheng, Eddie
5 Favaron, Odile
5 Gagarin, Andrei
5 Holtkamp, Andreas
5 Kaish, Imrul
5 Kheddouci, Hamamache
5 Li, Xueliang
5 Liu, Aixia
5 Miklavič, Štefko
5 Olsen, Mika
5 Ouldrabah, Lyes
5 Raczek, Joanna
5 Rall, Douglas F.
5 Soroudi, Marzieh
5 Su, Guifu
5 Topp, Jerzy
5 Tuza, Zsolt
5 Wagner, Stephan G.
5 Yuan, Jun
5 Zhang, Xiaodong
...and 1,123 more Authors
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Cited in 182 Serials

167 Discrete Mathematics
159 Discrete Applied Mathematics
66 Graphs and Combinatorics
44 Discussiones Mathematicae. Graph Theory
36 Discrete Mathematics, Algorithms and Applications
35 Journal of Combinatorial Optimization
32 Applied Mathematics and Computation
30 Theoretical Computer Science
27 Journal of Mathematical Analysis and Applications
24 Information Processing Letters
22 Communications in Combinatorics and Optimization
18 Applied Mathematics Letters
17 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
15 Results in Mathematics
15 The Australasian Journal of Combinatorics
15 Acta Mathematica Sinica. English Series
15 AKCE International Journal of Graphs and Combinatorics
13 Journal of Graph Theory
11 Quaestiones Mathematicae
11 Electronic Journal of Graph Theory and Applications
10 International Journal of Computer Mathematics
10 Filomat
9 Czechoslovak Mathematical Journal
9 Information Sciences
9 Advances in Difference Equations
9 Asian-European Journal of Mathematics
8 Aequationes Mathematicae
8 Computational Methods and Function Theory
8 Transactions on Combinatorics
7 Archiv der Mathematik
7 The Electronic Journal of Combinatorics
7 Journal of Applied Mathematics and Computing
6 Networks
6 Acta Mathematicae Applicatae Sinica. English Series
6 Discrete Optimization
5 Journal of Computer and System Sciences
5 Bulletin of the Iranian Mathematical Society
5 Journal of Mathematical Chemistry
5 Journal of Discrete Mathematical Sciences & Cryptography
5 Applicable Analysis and Discrete Mathematics
5 Ars Mathematica Contemporanea
4 Computers & Mathematics with Applications
4 Journal of Combinatorial Theory. Series B
4 Linear Algebra and its Applications
4 Opuscula Mathematica
4 RAIRO. Operations Research
4 Iranian Journal of Science and Technology. Transaction A: Science
4 Frontiers of Mathematics in China
4 Journal of Mathematics
3 Indian Journal of Pure & Applied Mathematics
3 Linear and Multilinear Algebra
3 Journal of Approximation Theory
3 Kodai Mathematical Journal
3 Proceedings of the Japan Academy. Series A
3 European Journal of Combinatorics
3 Algorithmica
3 Mathematical and Computer Modelling
3 International Journal of Foundations of Computer Science
3 Parallel Processing Letters
3 Proyecciones
3 Advances and Applications in Discrete Mathematics
3 Acta Universitatis Sapientiae. Informatica
3 International Journal of Combinatorics
3 Science China. Mathematics
3 Open Mathematics
3 AIMS Mathematics
2 Analysis Mathematica
2 Israel Journal of Mathematics
2 Journal d’Analyse Mathématique
2 Kyungpook Mathematical Journal
2 Monatshefte für Mathematik
2 Tamkang Journal of Mathematics
2 Transactions of the American Mathematical Society
2 Acta Mathematica Hungarica
2 SIAM Journal on Discrete Mathematics
2 Science in China. Series A
2 Designs, Codes and Cryptography
2 European Journal of Operational Research
2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences
2 Turkish Journal of Mathematics
2 Boletín de la Sociedad Matemática Mexicana. Third Series
2 Annales Academiae Scientiarum Fennicae. Mathematica
2 Theory of Computing Systems
2 Abstract and Applied Analysis
2 Taiwanese Journal of Mathematics
2 Journal of Inequalities and Applications
2 Discrete Mathematics and Theoretical Computer Science. DMTCS
2 Communications of the Korean Mathematical Society
2 Complex Variables and Elliptic Equations
2 Contributions to Discrete Mathematics
2 Complex Analysis and Operator Theory
2 Journal of Commutative Algebra
2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ
2 Iranian Journal of Mathematical Sciences and Informatics
2 Journal of the Operations Research Society of China
2 Journal of Linear and Topological Algebra
2 Bollettino dell’Unione Matematica Italiana
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Mathematics Magazine
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