Edit Profile (opens in new tab) Volkmann, Lutz Compute Distance To: Compute Author ID: volkmann.lutz Published as: Volkmann, Lutz; Volkmann, L. Homepage: http://www.math2.rwth-aachen.de/volkmann External Links: MGP · dblp Documents Indexed: 476 Publications since 1974, including 6 Books Reviewing Activity: 185 Reviews Biographic References: 3 Publications Co-Authors: 130 Co-Authors with 346 Joint Publications 2,252 Co-Co-Authors all top 5 Co-Authors 130 single-authored 88 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 7 Mojdeh, Doost Ali 5 Blidia, Mostafa 5 Favaron, Odile 5 Haynes, Teresa W. 5 Karami, Hossein 5 Khoeilar, Rana 5 Samadi, Babak 4 Asgharsharghi, Leila 4 Holtkamp, Andreas 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 Kosari, Saeed 2 Milz, Sebastian 2 Norouzian, Sepideh 2 Ouldrabah, Lyes 2 Samodivkin, Vladimir D. 2 Schiermeyer, Ingo 2 Shao, Zehui 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 Kubo, Takahiro 1 Küpper, Beate 1 Lenkewitz, Ursula 1 Liu, Xinmiao 1 Lu, Mei 1 Maschlanka, Peter 1 Masoumi, Iman ...and 30 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 29 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 5 RAIRO. Operations Research 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 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 Bulletin of the Iranian Mathematical Society 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 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 all top 5 Fields 442 Combinatorics (05-XX) 26 Functions of a complex variable (30-XX) 8 Computer science (68-XX) 4 Ordinary differential equations (34-XX) 3 Difference and functional equations (39-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Operations research, mathematical programming (90-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Probability theory and stochastic processes (60-XX) 1 Biology and other natural sciences (92-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 374 Publications have been cited 2,508 times in 1,254 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 0682.30001Jank, Gerhard; Volkmann, Lutz 77 1985 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 76 2012 Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038Hellwig, Angelika; Volkmann, Lutz 74 2008 Wiener index versus maximum degree in trees. Zbl 0993.05061Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Székely, László; Volkmann, Lutz 55 2002 Edge-cuts leaving components of order at least three. Zbl 1017.05063Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz 55 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 0603.30037Jank, Gerhard; Mues, Erwin; Volkmann, Lutz 50 1986 Sufficient conditions for graphs to be \(\lambda'\)-optimal, super-edge-connected, and maximally edge-connected. Zbl 1062.05084Hellwig, Angelika; Volkmann, Lutz 39 2005 Cycles in multipartite tournaments: Results and problems. Zbl 0996.05063Volkmann, Lutz 34 2002 A classification of locally semicomplete digraphs. Zbl 0873.05072Bang-Jensen, Jørgen; Guo, Yubao; Gutin, Gregory; Volkmann, Lutz 34 1997 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 32 2018 New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054Rautenbach, Dieter; Volkmann, Lutz 31 2007 Multipartite tournaments: a survey. Zbl 1134.05033Volkmann, Lutz 29 2007 Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056Hellwig, Angelika; Volkmann, Lutz 28 2004 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 27 2020 Upper bounds on the \(k\)-domination number and the \(k\)-Roman domination number. Zbl 1179.05081Hansberg, Adriana; Volkmann, Lutz 27 2009 Bondage, insensitivity, and reinforcement. Zbl 0894.05025Dunbar, Jean E.; Teschner, Ulrich; Haynes, Teresa W.; Volkmann, Lutz 26 1998 On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 26 2008 Inverse degree and edge-connectivity. Zbl 1203.05082Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz 24 2009 Restricted arc-connectivity of digraphs. Zbl 1183.05046Volkmann, Lutz 24 2007 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 22 2016 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 22 2018 Vertex pancyclic graphs. Zbl 1001.05070Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz 21 2002 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 21 2020 Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043Guo, Yubao; Volkmann, Lutz 20 1994 Signed Roman domination in digraphs. Zbl 1327.05141Sheikholeslami, S. M.; Volkmann, L. 20 2015 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 20 2012 Roman domination perfect graphs. Zbl 1313.05284Rad, Nader Jafari; Volkmann, Lutz 19 2011 Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053Ueffing, Nicola; Volkmann, Lutz 18 2003 On the well coveredness of products of graphs. Zbl 0776.05090Topp, Jerzy; Volkmann, Lutz 18 1992 Characterization of graphs with equal domination and covering number. Zbl 0955.05088Randerath, Bert; Volkmann, Lutz 17 1998 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 17 2017 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 17 2017 Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049Dankelmann, Peter; Volkmann, Lutz 17 1997 New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065Dankelmann, Peter; Volkmann, Lutz 16 1995 On packing and covering numbers of graphs. Zbl 0759.05077Topp, Jerzy; Volkmann, Lutz 16 1991 Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041Niessen, Thomas; Volkmann, Lutz 16 1990 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 16 2016 Cuts leaving components of given minimum order. Zbl 1063.05079Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 15 2005 Roman \(k\)-domination in graphs. Zbl 1177.05084Kämmerling, Karsten; Volkmann, Lutz 15 2009 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 15 2011 Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. Zbl 0993.05083Tewes, Meike; Volkmann, Lutz; Yeo, Anders 14 2002 Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz 14 2006 The rainbow domination subdivision numbers of graph. Zbl 1464.05284Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 14 2021 Signed domatic number of a graph. Zbl 1079.05071Volkmann, Lutz; Zelinka, Bohdan 14 2005 On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119Hansberg, A.; Volkmann, L. 14 2010 Fundaments of graph theory. (Fundamente der Graphentheorie.) Zbl 0844.05001Volkmann, Lutz 13 1996 A new domination conception. Zbl 0777.05074Stracke, Christoph; Volkmann, Lutz 13 1993 Cycles in multipartite tournaments. Zbl 0807.05034Guo, Yubao; Volkmann, Lutz 13 1994 On complementary cycles in locally semicomplete digraphs. Zbl 0816.05036Guo, Yubao; Volkmann, Lutz 13 1994 Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031Topp, Jerzy; Volkmann, Lutz 13 1990 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 13 2017 The Roman domination number of a digraph. Zbl 1265.05470Sheikholeslami, S. M.; Volkmann, L. 13 2011 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 13 2015 New bounds on the rainbow domination subdivision number. Zbl 1464.05286Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046Tewes, Meike; Volkmann, Lutz 12 1999 Total and connected domination in digraphs. Zbl 1244.05163Arumugam, S.; Jacob, K.; Volkmann, Lutz 12 2007 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 12 2015 On graphs with equal domination and 2-domination numbers. Zbl 1145.05041Hansberg, Adriana; Volkmann, Lutz 12 2008 The roman domatic number of a graph. Zbl 1193.05129Sheikholeslami, S. M.; Volkmann, L. 12 2010 Remarks on the bondage number of planar graphs. Zbl 1009.05104Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz 11 2003 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 11 2020 A characterization of well covered block-cactus graphs. Zbl 0805.05070Randerath, Bert; Volkmann, Lutz 11 1994 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 11 2018 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 On cycles through a given vertex in multipartite tournaments. Zbl 0883.05087Guo, Yubao; Pinkernell, Axel; Volkmann, Lutz 11 1997 Changing and unchanging the roman domination number of graph. Zbl 1273.05162Jafari Rad, Nader; Volkmann, Lutz 11 2012 A linear-programming approach to the generalized Randić index. Zbl 1020.05036Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz 10 2003 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 10 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 10 2016 Independence and \(k\)-domination in graphs. Zbl 1210.05096Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 10 2011 Sufficient conditions for equality of connectivity and minimum degree of a graph. Zbl 0794.05063Topp, Jerzy; Volkmann, Lutz 9 1993 On graphs with equal domination and covering numbers. Zbl 0803.05049Volkmann, Lutz 9 1994 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 9 2016 Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019Dankelmann, Peter; Volkmann, Lutz 9 2000 Strong subtournaments of multipartite tournaments. Zbl 0935.05051Volkmann, Lutz 9 1999 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 9 2013 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 9 2020 Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028Volkmann, Lutz; Winzen, Stefan 9 2008 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 9 2021 Estimations for the number of cycles in a graph. Zbl 0880.05057Volkmann, L. 8 1996 Distance domination and distance irredundance in graphs. Zbl 1122.05070Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 8 2007 Tree-Ramsey numbers. Zbl 0828.05043Guo, Yubao; Volkmann, Lutz 8 1995 Locally semicomplete digraphs that are complementary \(m\)-pancyclic. Zbl 0845.05048Guo, Yubao; Volkmann, Lutz 8 1996 On graphs with equal domination and independent domination numbers. Zbl 0746.05073Topp, Jerzy; Volkmann, Lutz 8 1991 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 8 2017 Vertex pancyclic in-tournaments. Zbl 0971.05052Tewes, Meike; Volkmann, Lutz 8 2001 Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064Volkmann, Lutz 8 2004 Estimations for the domination number of a graph. Zbl 0699.05055Flach, Peter; Volkmann, Lutz 8 1990 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 8 2018 The signed Roman domatic number of a graph. Zbl 1274.05366Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 8 2012 Graphs with large geodetic number. Zbl 1464.05276Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 8 2015 The connectivity of a graph and its complement. Zbl 1178.05055Hellwig, Angelika; Volkmann, Lutz 8 2008 Geodetic domination in graphs. Zbl 1238.05072Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L. 8 2011 Graphs with large Italian domination number. Zbl 1451.05174Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 7 2020 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218Dehgardi, Nasrin; Volkmann, Lutz 7 2016 All regular multipartite tournaments that are cycle complementary. Zbl 1049.05043Volkmann, Lutz 7 2004 On the cycle structure of in-tournaments. Zbl 0914.05034Tewes, Meike; Volkmann, Lutz 7 1998 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 7 2016 Signed domatic numbers of the complete bipartite graphs. Zbl 1104.05058Volkmann, Lutz 7 2005 The Roman domatic problem in graphs and digraphs: a survey. Zbl 1492.05113Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 4 2022 Restrained double Roman domination of a graph. Zbl 1497.05210Mojdeh, Doost Ali; Masoumi, Iman; Volkmann, Lutz 2 2022 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 14 2021 Bounds on the outer-independent double Italian domination number. Zbl 1488.05362Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 9 2021 Domination number, independent domination number and 2-independence number in trees. Zbl 1453.05089Dehgardi, Nasrin; Sheikholeslami, Seyed Mahmoud; Valinavaz, Mina; Aram, Hamideh; Volkmann, Lutz 1 2021 Remarks on the outer-independent double Italian domination number. Zbl 1469.05138Volkmann, Lutz 1 2021 Weak signed Roman \(k\)-domination in graphs. Zbl 1488.05399Volkmann, Lutz 1 2021 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 27 2020 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 21 2020 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 11 2020 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 9 2020 Graphs with large Italian domination number. Zbl 1451.05174Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 7 2020 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165Mojdeh, Doost Ali; Volkmann, Lutz 7 2020 Weak signed Roman domination in graphs. Zbl 1488.05398Volkmann, Lutz 4 2020 On the signed Roman \(k\)-domination in graphs. Zbl 1452.05115Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 3 2020 Multiple domination. Zbl 1479.05267Hansberg, Adriana; Volkmann, Lutz 2 2020 A note on the Roman domatic number of a digraph. Zbl 1449.05205Volkmann, Lutz; Meierling, D. 1 2020 Nordhaus-Gaddum type inequalities for multiple domination and packing parameters in graphs. Zbl 07232879Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2020 The double Roman domatic number of a digraph. Zbl 1446.05074Volkmann, Lutz 1 2020 Nonnegative signed total Roman domination in graphs. Zbl 1488.05373Dehgardi, Nasrin; Volkmann, Lutz 1 2020 Double Roman domination in digraphs. Zbl 1419.05091Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz 6 2019 Nonnegative signed Roman domination in graphs. Zbl 1452.05119Dehgardi, Nasrin; Volkmann, L. 5 2019 The Italian domatic number of a digraph. Zbl 1412.05085Volkmann, Lutz 5 2019 The Roman \(\{2 \}\)-domatic number of graphs. Zbl 1407.05185Volkmann, Lutz 5 2019 Italian domination in digraphs. Zbl 1452.05132Volkmann, Lutz 4 2019 On the co-Roman domination in graphs. Zbl 1404.05158Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao 2 2019 Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168Hajian, Majid; Rad, Nader Jafari; Volkmann, Lutz 2 2019 Signed edge \(k\)-independence in graphs. Zbl 1428.05231Dehgardi, Nasrin; Volkmann, Lutz 1 2019 Locating Roman domination in graphs. Zbl 1427.05168Rad, Nader Jafari; Rahbani, Hadi; Volkmann, Lutz 1 2019 Bounds on the signed Roman \(k\)-domination number of a digraph. Zbl 1401.05213Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz 1 2019 Nonnegative signed edge domination in graphs. Zbl 1488.05374Dehgardi, N.; Volkmann, L. 1 2019 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 32 2018 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 22 2018 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 11 2018 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 8 2018 Relating the annihilation number and the Roman domination number. Zbl 1413.05278Aram, H.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 3 2018 The restrained rainbow bondage number of a graph. Zbl 1400.05168Amjadi, J.; Dehgardi, N.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 1 2018 Degree sequence conditions for maximally edge-connected and super-edge-connected digraphs depending on the clique number. Zbl 1376.05065Milz, Sebastian; Volkmann, Lutz 1 2018 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 17 2017 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 17 2017 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 13 2017 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 8 2017 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098Chen, Zhibing; Su, Guifu; Volkmann, Lutz 7 2017 Twin signed domination numbers in directed graphs. Zbl 1386.05130Atapour, Maryam; Norouzian, Sepideh; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 4 2017 Sufficient conditions for maximally edge-connected and super-edge-connected. Zbl 1386.05098Volkmann, Lutz; Hong, Zhen-Mu 3 2017 The signed total Roman \(k\)-domatic number of a graph. Zbl 1372.05165Volkmann, Lutz 3 2017 On the signed \(2\)-independence number of graphs. Zbl 1467.05189Hosseini Moghaddam, S. M.; Mojdeh, D. A.; Samadi, Babak; Volkmann, Lutz 2 2017 Roman game domination number of a graph. Zbl 1409.91056Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 2 2017 Signed Roman edge \(k\)-domination in graphs. Zbl 1354.05102Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 An introduction to the twin signed total -domination numbers in directed graphs. Zbl 1393.05195Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. 1 2017 Universal arcs in local tournaments. Zbl 1370.05081Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz 1 2017 Twin signed Roman domatic numbers in digraphs. Zbl 1377.05146Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Lower bounds on the signed \(k\)-domination number of graphs. Zbl 1463.05427Volkmann, Lutz 1 2017 Bounds on the \(l\)-total \(k\)-domatic number of a graph. Zbl 1383.05247Volkmann, Lutz 1 2017 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 22 2016 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 16 2016 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 10 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 10 2016 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 9 2016 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218Dehgardi, Nasrin; Volkmann, Lutz 7 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 7 2016 Claw-free graphs with equal 2-domination and domination numbers. Zbl 1462.05277Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz 6 2016 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected digraphs. Zbl 1365.05114Volkmann, L. 5 2016 The signed Roman \(k\)-domatic number of digraphs. Zbl 1333.05232Volkmann, Lutz 4 2016 Global rainbow domination in graphs. Zbl 1389.05119Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 4 2016 Signed mixed Roman domination numbers in graphs. Zbl 1352.05140Abdollahzadeh Ahangar, H.; Asgharsharghi, L.; Sheikholeslami, S. M.; Volkmann, L. 3 2016 Lower bounds on the signed total \(k\)-domination number of graphs. Zbl 1336.05105Volkmann, Lutz 3 2016 The \(k\)-rainbow domination and domatic numbers of digraphs. Zbl 1342.05104Sheikholeslami, S. M.; Volkmann, Lutz 2 2016 New bounds on the signed total domination number of graphs. Zbl 1334.05103Hosseini Moghaddam, Seyyed Mehdi; Mojdeh, Doost Ali; Samadi, Babak; Volkmann, Lutz 1 2016 Total restrained reinforcement in graphs. Zbl 1346.05219Rad, Nader Jafari; Volkmann, Lutz 1 2016 Rainbow restrained domination numbers in graphs. Zbl 1413.05275Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 1 2016 On the rainbow restrained domination number. Zbl 1413.05271Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Samodivkin, V.; Volkmann, L. 1 2016 Edge-removal and edge-addition in \(\alpha \)-domination. Zbl 1338.05203Jafari Rad, Nader; Volkmann, Lutz 1 2016 Signed Roman domination in digraphs. Zbl 1327.05141Sheikholeslami, S. M.; Volkmann, L. 20 2015 The rainbow domination subdivision numbers of graph. Zbl 1464.05284Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 13 2015 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 12 2015 Graphs with large geodetic number. Zbl 1464.05276Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 8 2015 The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147Volkmann, Lutz 5 2015 The signed Roman domatic number of a digraph. Zbl 1467.05099Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 3 2015 The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2015 Upper bounds on the signed \((k,k)\)-domatic number of digraphs. Zbl 1322.05067Volkmann, Lutz 1 2015 On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz 1 2015 New bounds on the rainbow domination subdivision number. Zbl 1464.05286Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 \(k\)-tuple total domatic number of a graph. Zbl 1310.05164Sheikholeslami, S. M.; Volkmann, L. 3 2014 Upper bounds for the domination number in graphs of diameter two. Zbl 1293.05270Meierling, Dirk; Volkmann, Lutz 3 2014 Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078He, Zhihong; Volkmann, Lutz; Wang, Yan 1 2014 Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143Sheikholeslami, S. M.; Volkmann, L. 1 2014 Bounds on the \(k\)-independence and \(k\)-chromatic numbers of graphs. Zbl 1313.05106Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz 1 2014 Signed \(k\)-independence in graphs. Zbl 1284.05205Volkmann, Lutz 1 2014 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 9 2013 On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. Zbl 1261.05074Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 7 2013 The rainbow domination number of a digraph. Zbl 1299.05249Amjadi, J.; Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 6 2013 A note on the independent domination number in graphs. Zbl 1287.05107Rad, Nader Jafari; Volkmann, Lutz 3 2013 Signed \(k\)-domatic numbers of digraphs. Zbl 1317.05067Aram, H.; Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 3 2013 Total restrained bondage in graphs. Zbl 1283.05208Rad, Nader Jafari; Hasni, Roslan; Raczek, Joanna; Volkmann, Lutz 3 2013 Roman game domination subdivision number of a graph. Zbl 1301.05066Amjadi, Jafar; Karami, Hossein; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2013 Bounds on the signed 2-independence number in graphs. Zbl 1295.05182Volkmann, Lutz 2 2013 Complementary cycles in almost regular multipartite tournaments, where one cycle has length four. Zbl 1286.05058Volkmann, Lutz 1 2013 ...and 274 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,316 Authors 154 Volkmann, Lutz 72 Sheikholeslami, Seyed Mahmoud 40 Chellali, Mustapha 37 Henning, Michael Anthony 35 Jafari Rad, Nader 27 Amjadi, Jafar 27 Rautenbach, Dieter 24 Ahangar, Hossein Abdollahzadeh 20 Meng, Jixiang 20 Wang, Shiying 20 Xu, Junming 20 Zhang, Zhao 19 Guo, Yubao 18 Balbuena, Camino 16 Dankelmann, Peter 16 García-Vázquez, Pedro 16 Meierling, Dirk 16 Mojdeh, Doost Ali 15 Dehgardi, Nasrin 15 Hao, Guoliang 15 Wang, Hua 15 Yi, Hongxun 13 Bang-Jensen, Jørgen 13 Nazari-Moghaddam, Sakineh 13 Shao, Zehui 12 Hansberg, Adriana 12 Khoeilar, Rana 12 Lin, Shangwei 11 Haynes, Teresa W. 11 Li, Xiaomin 11 Shan, Erfang 10 Hellwig, Angelika 10 Klavžar, Sandi 10 Montejano, Luis Pedro 10 Wang, Jun 10 Winzen, Stefan 10 Yeo, Anders 9 Bergweiler, Walter 9 Bujtás, Csilla 9 Guo, Qiaoping 9 Lu, Mei 9 Ou, Jianping 9 Samadi, Babak 9 Vatandoost, Ebrahim 8 Blidia, Mostafa 8 Cabrera Martínez, Abel 8 Levit, Vadim E. 8 Li, Ruijuan 8 Li, Shengjia 8 Mandrescu, Eugen 8 Meng, Wei 8 Yang, Weihua 8 Yero, Ismael Gonzalez 7 Chen, Xiaodan 7 Diánez, Ana 7 Fang, Mingliang 7 He, Zhihong 7 Hedetniemi, Stephen Travis 7 Kang, Liying 7 Lahiri, Indrajit 7 Liu, Qinghai 7 Rall, Douglas F. 7 Tian, Yingzhi 7 Zhao, Shuang 6 Caro, Yair 6 Galeana-Sánchez, Hortensia 6 Gutin, Gregory Z. 6 Hong, Yanmei 6 Hu, Futao 6 Huang, Jia 6 Kheddouci, Hamamache 6 Kuenzel, Kirsti 6 Laine, Ilpo 6 Li, Chunfang 6 Lu, You 6 Marcote, Xavier 6 Olsen, Mika 6 Sigarreta Almira, José María 6 Wu, Baoyindureng 6 Wu, Pu 6 Zhang, Heping 6 Zverovich, Vadim E. 5 Andriantiana, Eric Ould Dadah 5 Asgharsharghi, Leila 5 Atapour, Maryam 5 Bouchou, Ahmed 5 Cera, Martín 5 Cheng, Eddie 5 Davila, Randy Ryan 5 Faria, Luerbio 5 Favaron, Odile 5 Figueroa, Ana Paulina 5 Gagarin, Andrei 5 Holtkamp, Andreas 5 Kaish, Imrul 5 Krzywkowski, Marcin 5 Li, Xueliang 5 Liu, Aixia 5 Miklavič, Štefko 5 Ouldrabah, Lyes ...and 1,216 more Authors all top 5 Cited in 189 Serials 173 Discrete Mathematics 169 Discrete Applied Mathematics 69 Graphs and Combinatorics 45 Discussiones Mathematicae. Graph Theory 42 Discrete Mathematics, Algorithms and Applications 37 Journal of Combinatorial Optimization 33 Applied Mathematics and Computation 33 Theoretical Computer Science 27 Journal of Mathematical Analysis and Applications 24 Information Processing Letters 23 Communications in Combinatorics and Optimization 19 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 18 Applied Mathematics Letters 16 The Australasian Journal of Combinatorics 15 Results in Mathematics 15 Acta Mathematica Sinica. 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DMTCS 3 Parallel Processing Letters 3 Proyecciones 3 Contributions to Discrete Mathematics 3 Advances and Applications in Discrete Mathematics 3 Acta Universitatis Sapientiae. Informatica 3 International Journal of Combinatorics 3 Science China. Mathematics 3 AIMS Mathematics 2 Analysis Mathematica 2 Communications in Algebra 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 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 Communications of the Korean Mathematical Society 2 Complex Variables and Elliptic Equations 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 Korean Journal of Mathematics 2 Bollettino dell’Unione Matematica Italiana 2 The Art of Discrete and Applied Mathematics ...and 89 more Serials all top 5 Cited in 35 Fields 1,064 Combinatorics (05-XX) 134 Computer science (68-XX) 124 Functions of a complex variable (30-XX) 38 Ordinary differential equations (34-XX) 34 Biology and other natural sciences (92-XX) 32 Operations research, mathematical programming (90-XX) 17 Difference and functional equations (39-XX) 11 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 9 Information and communication theory, circuits (94-XX) 8 Commutative algebra (13-XX) 6 Dynamical systems and ergodic theory (37-XX) 5 Group theory and generalizations (20-XX) 4 History and biography (01-XX) 4 Number theory (11-XX) 3 General topology (54-XX) 2 General and overarching topics; collections (00-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Algebraic topology (55-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Systems theory; control (93-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Partial differential equations (35-XX) 1 Approximations and expansions (41-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Manifolds and cell complexes (57-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) Citations by Year