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ORCIDLutz Volkmann
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- affiliation: RWTH Aachen University, Germany
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2020 – today
- 2023
[j269]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Total Italian domatic number of graphs. Comput. Sci. J. Moldova 31(2): 169-182 (2023)- [j268]Lutz Volkmann
:
Double Roman and double Italian domination. Discuss. Math. Graph Theory 43(3): 721-730 (2023) - 2022
- [j267]Lutz Volkmann:
Restrained Roman and restrained Italian domatic numbers of graphs. Discret. Appl. Math. 322: 153-159 (2022) - [j266]Mustapha Chellali, Nader Jafari Rad, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The Roman domatic problem in graphs and digraphs: a survey. Discuss. Math. Graph Theory 42(3): 861-891 (2022) - [j265]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum type inequalities on the total Italian domination number in graphs. RAIRO Oper. Res. 56(4): 2235-2243 (2022) - [j264]Doost Ali Mojdeh, Iman Masoumi, Lutz Volkmann:
Restrained double Roman domination of a graph. RAIRO Oper. Res. 56(4): 2293-2304 (2022) - 2021
- [j263]Zhen-Mu Hong, Zheng-Jiang Xia, Fu-Yuan Chen, Lutz Volkmann:
Sufficient Conditions for Graphs to Be k -Connected, Maximally Connected, and Super-Connected. Complex. 2021: 5588146:1-5588146:11 (2021) - [j262]Hamideh Aram, Nasrin Dehgardi, Seyed Mahmoud Sheikholeslami, Mina Valinavaz, Lutz Volkmann:
Domination, independent domination number and 2-independence number in trees. Discuss. Math. Graph Theory 41(1): 39-49 (2021) - [j261]Xiaolin Wang, Yaojun Chen, Peter Dankelmann, Yubao Guo, Michel Surmacs, Lutz Volkmann:
Oriented diameter of maximal outerplanar graphs. J. Graph Theory 98(3): 426-444 (2021) - [j260]Rana Khoeilar, Hossein Karami, Mustapha Chellali, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum type results for connected and total domination. RAIRO Oper. Res. 55(Supplement): S853-S862 (2021) - 2020
- [j259]Mustapha Chellali, Nader Jafari Rad, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Varieties of Roman domination II. AKCE Int. J. Graphs Comb. 17(3): 966-984 (2020) - [j258]Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Contributions Discret. Math. 15(1): 154-162 (2020) - [j257]Doost Ali Mojdeh, Lutz Volkmann:
Roman {3}-domination (double Italian domination). Discret. Appl. Math. 283: 555-564 (2020) - [j256]R. Khoeilar, Hossein Karami, Mustapha Chellali, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
A proof of a conjecture on the differential of a subcubic graph. Discret. Appl. Math. 287: 27-39 (2020) - [j255]Sakineh Nazari-Moghaddam, Lutz Volkmann:
Critical concept for double Roman domination in graphs. Discret. Math. Algorithms Appl. 12(02): 2050020 (2020) - [j254]Lutz Volkmann:
The double Roman domatic number of a digraph. Discuss. Math. Graph Theory 40(4): 995-1004 (2020) - [j253]Zehui Shao, Doost Ali Mojdeh, Lutz Volkmann:
Total Roman {3}-domination in Graphs. Symmetry 12(2): 268 (2020)
2010 – 2019
- 2019
- [j252]Majid Hajian, Nader Jafari Rad, Lutz Volkmann:
Bounds on the fair total domination number in trees and unicyclic graphs. Australas. J Comb. 74: 460-475 (2019) - [j251]Lutz Volkmann:
The Roman {2}-domatic number of graphs. Discret. Appl. Math. 258: 235-241 (2019) - [j250]Xiaodan Chen, Guoliang Hao, Lutz Volkmann:
Bounds on the signed Roman k-domination number of a digraph. Discuss. Math. Graph Theory 39(1): 67-79 (2019) - [j249]Zehui Shao, Seyed Mahmoud Sheikholeslami, Marzieh Soroudi, Lutz Volkmann, Xinmiao Liu:
On the co-Roman domination in graphs. Discuss. Math. Graph Theory 39(2): 455-472 (2019) - [j248]Lutz Volkmann:
Sufficient conditions for maximally edge-connected and super-edge-connected graphs depending on the clique number. Discuss. Math. Graph Theory 39(2): 567-573 (2019) - 2018
- [j247]Sebastian Milz, Lutz Volkmann:
Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Discret. Math. 341(2): 484-491 (2018) - [j246]Jafar Amjadi, Sakineh Nazari-Moghaddam, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
An upper bound on the double Roman domination number. J. Comb. Optim. 36(1): 81-89 (2018) - 2017
- [j245]Lutz Volkmann:
Lower bounds on the signed k-domination number of graphs. Ars Comb. 135: 357-367 (2017) - [j244]Jafar Amjadi, Leila Asgharsharghi, Nasrin Dehgardi, Michitaka Furuya, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow reinforcement numbers in graphs. Discret. Appl. Math. 217: 394-404 (2017) - [j243]Zhibing Chen, Guifu Su, Lutz Volkmann:
Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Discret. Appl. Math. 218: 64-70 (2017) - [j242]Wei Meng, Jia Guo, Mei Lu, Yubao Guo, Lutz Volkmann:
Universal arcs in local tournaments. Discret. Math. 340(12): 2900-2915 (2017) - [j241]Leila Asgharsharghi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed Roman edge k-domination in graphs. Discuss. Math. Graph Theory 37(1): 39-53 (2017) - [j240]Lutz Volkmann:
Signed total Roman domination in digraphs. Discuss. Math. Graph Theory 37(1): 261-272 (2017) - [j239]Lutz Volkmann:
The signed total Roman k-domatic number of a graph. Discuss. Math. Graph Theory 37(4): 1027-1038 (2017) - [j238]S. M. Hosseini Moghaddam, Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
On the signed 2-independence number of graphs. Electron. J. Graph Theory Appl. 5(1): 36-42 (2017) - [j237]A. Bahremandpour, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Roman game domination number of a graph. J. Comb. Optim. 33(2): 713-725 (2017) - [j236]Masoud Atapour, Nasrin Dehgardi, Lutz Volkmann:
An introduction to the twin signed total k-domination numbers in directed graphs. RAIRO Oper. Res. 51(4): 1331-1343 (2017) - 2016
- [j235]Lutz Volkmann:
The signed Roman k-domatic number of digraphs. Australas. J Comb. 64: 444-457 (2016) - [j234]Nader Jafari Rad, Lutz Volkmann:
Total restrained reinforcement in graphs. AKCE Int. J. Graphs Comb. 13(1): 16-21 (2016) - [j233]Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Rainbow restrained domination numbers in graphs. Ars Comb. 124: 3-19 (2016) - [j232]Hossein Abdollahzadeh Ahangar, Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Vladimir Samodivkin, Lutz Volkmann:
On the rainbow restrained domination number. Ars Comb. 125: 209-224 (2016) - [j231]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed (j, k)-domatic number of graphs. Ars Comb. 126: 73-86 (2016) - [j230]Nader Jafari Rad, Lutz Volkmann:
Matchings in 4-total restrained domination vertex critical graphs. Ars Comb. 128: 415-428 (2016) - [j229]Lutz Volkmann:
On the signed total Roman domination and domatic numbers of graphs. Discret. Appl. Math. 214: 179-186 (2016) - [j228]Seyyed Mehdi Hosseini Moghaddam, Doost Ali Mojdeh, Babak Samadi, Lutz Volkmann:
New bounds on the signed total domination number of graphs. Discuss. Math. Graph Theory 36(2): 467-477 (2016) - [j227]Michael A. Henning, Lutz Volkmann:
Signed Roman k-Domination in Graphs. Graphs Comb. 32(1): 175-190 (2016) - [j226]Nader Jafari Rad, Lutz Volkmann:
Edge-Removal and Edge-Addition in α-Domination. Graphs Comb. 32(3): 1155-1166 (2016) - [j225]Lutz Volkmann:
Signed Roman k-domination in Digraphs. Graphs Comb. 32(3): 1217-1227 (2016) - [j224]Hossein Abdollahzadeh Ahangar, Jafar Amjadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann, Yancai Zhao:
Signed Roman edge domination numbers in graphs. J. Comb. Optim. 31(1): 333-346 (2016) - [j223]Hossein Abdollahzadeh Ahangar, Leila Asgharsharghi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed mixed Roman domination numbers in graphs. J. Comb. Optim. 32(1): 299-317 (2016) - [j222]Lutz Volkmann:
Signed total Roman domination in graphs. J. Comb. Optim. 32(3): 855-871 (2016) - [j221]Nader Jafari Rad, Lutz Volkmann:
Generalization of the total outer-connected domination in graphs. RAIRO Oper. Res. 50(2): 233-239 (2016) - 2015
- [j220]Odile Favaron, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed k-domatic numbers of graphs. Ars Comb. 123: 169-184 (2015) - [j219]Lutz Volkmann:
The signed Roman k-domatic number of a graph. Discret. Appl. Math. 180: 150-157 (2015) - [j218]Michael A. Henning, Lutz Volkmann:
Signed Roman k-domination in trees. Discret. Appl. Math. 186: 98-105 (2015) - [j217]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed star (j, k)-domatic numbers of digraphs. Discret. Math. Algorithms Appl. 7(2): 1550006:1-1550006:12 (2015) - [j216]Jafar Amjadi, Negar Mohammadi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow bondage number of a digraph. Discuss. Math. Graph Theory 35(2): 261-270 (2015) - [j215]Lutz Volkmann:
Upper bounds on the signed total (k, k)-domatic number of graphs. Discuss. Math. Graph Theory 35(4): 641-650 (2015) - [j214]Abdollah Khodkar, Babak Samadi, Lutz Volkmann:
On the signed (total) k-independence number in graphs. Discuss. Math. Graph Theory 35(4): 651-662 (2015) - [j213]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The signed Roman domatic number of a digraph. Electron. J. Graph Theory Appl. 3(1): 85-93 (2015) - [j212]M. Atapour, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Global Roman Domination in Trees. Graphs Comb. 31(4): 813-825 (2015) - [j211]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed Roman domination in digraphs. J. Comb. Optim. 30(3): 456-467 (2015) - 2014
- [j210]Mostafa Blidia, Ahmed Bouchou, Lutz Volkmann:
Bounds on the k-independence and k-chromatic numbers of graphs. Ars Comb. 113: 33-46 (2014) - [j209]Nasrin Dehgardi, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow bondage number of a graph. Discret. Appl. Math. 174: 133-139 (2014) - 2013
- [j208]Lutz Volkmann:
Signed total (j, k)-domatic numbers of graphs. Australas. J Comb. 57: 39-48 (2013) - [j207]Lutz Volkmann:
Smallest regular and almost regular triangle-free graphs without perfect matchings. Ars Comb. 111: 463-472 (2013) - [j206]Lutz Volkmann:
Complementary cycles in almost regular multipartite tournaments, where one cycle has length four. Discret. Appl. Math. 161(13-14): 2169-2177 (2013) - [j205]Nader Jafari Rad, Lutz Volkmann:
A note on the independent domination number in graphs. Discret. Appl. Math. 161(18): 3087-3089 (2013) - [j204]Lutz Volkmann:
Bounds on the signed 2-independence number in graphs. Discuss. Math. Graph Theory 33(4): 709-715 (2013) - [j203]Hamideh Aram, S. Norouzian, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The distance Roman domination numbers of graphs. Discuss. Math. Graph Theory 33(4): 717-730 (2013) - [j202]Nader Jafari Rad, Lutz Volkmann:
Roman Domination Dot-critical Graphs. Graphs Comb. 29(3): 527-533 (2013) - 2012
- [j201]Lutz Volkmann:
The smallest regular graphs which are not 1-extendable. Ars Comb. 104: 179-184 (2012) - [j200]Lutz Volkmann:
On regular (2, q)-extendable graphs. Ars Comb. 105: 53-64 (2012) - [j199]Dirk Meierling, Lutz Volkmann:
Sufficient conditions for triangle-free graphs to be optimally restricted edge-connected. Discret. Appl. Math. 160(12): 1775-1781 (2012) - [j198]Lutz Volkmann:
Signed 2-independence in digraphs. Discret. Math. 312(2): 465-471 (2012) - [j197]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed total {k}-domination and {k}-Domatic numbers of Graphs. Discret. Math. Algorithms Appl. 4(1) (2012) - [j196]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The k-rainbow domatic number of a graph. Discuss. Math. Graph Theory 32(1): 129-140 (2012) - [j195]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The total {k}-domatic number of digraphs. Discuss. Math. Graph Theory 32(3): 461-471 (2012) - [r1]Mustapha Chellali, Odile Favaron, Adriana Hansberg, Lutz Volkmann:
k-Domination and k-Independence in Graphs: A Survey. Graphs Comb. 28(1): 1-55 (2012) - [j194]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The total {k}-domatic number of a graph. J. Comb. Optim. 23(2): 252-260 (2012) - 2011
- [j193]Andreas Holtkamp, Lutz Volkmann:
On local connectivity of K2, p-free graphs. Australas. J Comb. 51: 29-40 (2011) - [j192]Adriana Hansberg, Lutz Volkmann:
2-domination in bipartite graphs with odd independence number. Australas. J Comb. 51: 115-124 (2011) - [j191]Lutz Volkmann:
Bounds on the signed domatic number. Appl. Math. Lett. 24(2): 196-198 (2011) - [j190]Dirk Meierling, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Nordhaus-Gaddum bounds on the k-rainbow domatic number of a graph. Appl. Math. Lett. 24(10): 1758-1761 (2011) - [j189]Lutz Volkmann:
Degree sequence conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number. Ars Comb. 99: 55-64 (2011) - [j188]Adriana Hansberg, Lutz Volkmann:
On 2-domination and independence domination numbers of graphs. Ars Comb. 101: 405-415 (2011) - [j187]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Signed star k-domatic number of a graph. Contributions Discret. Math. 6(2) (2011) - [j186]Lutz Volkmann:
Upper bounds on the signed total domatic number of graphs. Discret. Appl. Math. 159(8): 832-837 (2011) - [j185]E. Ebrahimi Targhi, Nader Jafari Rad, Lutz Volkmann:
Unique response Roman domination in graphs. Discret. Appl. Math. 159(11): 1110-1117 (2011) - [j184]Lutz Volkmann:
Signed domination and signed domatic numbers of digraphs. Discuss. Math. Graph Theory 31(3): 415-427 (2011) - [j183]Mustapha Chellali, Lutz Volkmann:
Characterization of trees with equal 2-domination number and domination number plus two. Discuss. Math. Graph Theory 31(4): 687-697 (2011) - [j182]Lutz Volkmann:
Connected global offensive k-alliances in graphs. Discuss. Math. Graph Theory 31(4): 699-707 (2011) - [j181]Nader Jafari Rad, Lutz Volkmann:
Roman bondage in graphs. Discuss. Math. Graph Theory 31(4): 763-773 (2011) - [j180]Nader Jafari Rad, Lutz Volkmann:
On the Roman Bondage Number of Planar Graphs. Graphs Comb. 27(4): 531-538 (2011) - [j179]Adriana Hansberg, Dirk Meierling, Lutz Volkmann:
Independence and k-domination in graphs. Int. J. Comput. Math. 88(5): 905-915 (2011) - 2010
- [j178]Lutz Volkmann:
On almost 1-extendable graphs. Australas. J Comb. 47: 83-90 (2010) - [j177]Mustapha Chellali, Lutz Volkmann:
Independence and global offensive alliance in graphs. Australas. J Comb. 47: 125-132 (2010) - [j176]Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
The Roman domatic number of a graph. Appl. Math. Lett. 23(10): 1295-1300 (2010) - [j175]Lutz Volkmann:
Sufficient conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number. Ars Comb. 96 (2010) - [j174]Peter Dankelmann, Lutz Volkmann:
The Diameter of Almost Eulerian Digraphs. Electron. J. Comb. 17(1) (2010) - [j173]M. Atapour, Seyed Mahmoud Sheikholeslami, Arezoo N. Ghameshlou, Lutz Volkmann:
Signed star domatic number of a graph. Discret. Appl. Math. 158(3): 213-218 (2010) - [j172]Dirk Meierling, Lutz Volkmann:
Cycle factors in strongly connected local tournaments. Discret. Math. 310(4): 850-860 (2010) - [j171]Adriana Hansberg, Lutz Volkmann:
On the geodetic and geodetic domination numbers of a graph. Discret. Math. 310(15-16): 2140-2146 (2010) - [j170]Mustapha Chellali, Teresa W. Haynes, Lutz Volkmann:
k-independence stable graphs upon edge removal. Discuss. Math. Graph Theory 30(2): 265-274 (2010) - [j169]Adriana Hansberg, Dirk Meierling, Lutz Volkmann:
A general method in the theory of domination in graphs. Int. J. Comput. Math. 87(13): 2915-2924 (2010) - [j168]Andreas Holtkamp, Lutz Volkmann:
On local connectivity of graphs with given clique number. J. Graph Theory 63(3): 192-197 (2010) - [j167]Odile Favaron, Hossein Karami, R. Khoeilar, Seyed Mahmoud Sheikholeslami, Lutz Volkmann:
Proof of a conjecture on game domination. J. Graph Theory 64(4): 323-329 (2010)
2000 – 2009
- 2009
- [j166]Adriana Hansberg, Lutz Volkmann:
A characterization of even order trees with domination number half their order minus one. Australas. J Comb. 44: 247-254 (2009) - [j165]Mustapha Chellali, Teresa W. Haynes, Lutz Volkmann:
Global offensive alliance numbers in graphs with emphasis on trees. Australas. J Comb. 45: 87-96 (2009) - [j164]Lutz Volkmann:
On regular (1, q)-extendable graphs. Australas. J Comb. 45: 207-216 (2009) - [j163]Lutz Volkmann:
Some remarks on the signed domatic number of graphs with small minimum degree. Appl. Math. Lett. 22(8): 1166-1169 (2009) - [j162]Adriana Hansberg, Lutz Volkmann:
Upper bounds on the k-domination number and the k-Roman domination number. Discret. Appl. Math. 157(7): 1634-1639 (2009) - [j161]Dirk Meierling, Lutz Volkmann, Stephan Zitzen:
The signed domatic number of some regular graphs. Discret. Appl. Math. 157(8): 1905-1912 (2009) - [j160]Lutz Volkmann, Stefan Winzen:
Every cycle-connected multipartite tournament has a universal arc. Discret. Math. 309(4): 1013-1017 (2009) - [j159]Dieter Rautenbach, Lutz Volkmann:
On the existence of edge cuts leaving several large components. Discret. Math. 309(6): 1703-1707 (2009) - [j158]Dirk Meierling, Lutz Volkmann:
On the number of cycles in local tournaments. Discret. Math. 309(8): 2042-2052 (2009) - [j157]Terry A. McKee, Lutz Volkmann:
Parity and disparity subgraphs. Discret. Math. 309(8): 2608-2612 (2009) - [j156]Peter Dankelmann, Angelika Hellwig, Lutz Volkmann:
Inverse degree and edge-connectivity. Discret. Math. 309(9): 2943-2947 (2009) - [j155]Zhihong He, Torsten Korneffel, Dirk Meierling, Lutz Volkmann, Stefan Winzen:
Complementary cycles in regular multipartite tournaments, where one cycle has length five. Discret. Math. 309(10): 3131-3149 (2009) - [j154]Andreas Holtkamp, Lutz Volkmann:
On the connectivity of p-diamond-free graphs. Discret. Math. 309(20): 6065-6069 (2009) - [j153]Mustapha Chellali, Teresa W. Haynes, Bert Randerath, Lutz Volkmann:
Bounds on the global offensive k-alliance number in graphs. Discuss. Math. Graph Theory 29(3): 597-613 (2009) - [j152]Peter Dankelmann, Lutz Volkmann:
Minimum size of a graph or digraph of given radius. Inf. Process. Lett. 109(16): 971-973 (2009) - [j151]Dirk Meierling, Lutz Volkmann:
A remark on degree sequences of multigraphs. Math. Methods Oper. Res. 69(2): 369-374 (2009) - 2008
- [j150]Jun Fujisawa, Adriana Hansberg, Takahiro Kubo, Akira Saito, Masahide Sugita, Lutz Volkmann:
A note on the 2-domination number of a tree. Australas. J Comb. 40: 265-268 (2008) - [j149]Dirk Meierling, Lutz Volkmann, Stefan Winzen:
Restricted arc-connectivity of generalized tournaments. Australas. J Comb. 40: 269-278 (2008) - [j148]Lutz Volkmann:
A characterization of bipartite graphs with independence number half their order. Australas. J Comb. 41: 219-222 (2008) - [j147]