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: 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 all top 5 Fields 438 Combinatorics (05-XX) 26 Functions of a complex variable (30-XX) 7 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 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 0682.30001Jank, Gerhard; Volkmann, Lutz 77 1985 Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038Hellwig, Angelika; Volkmann, Lutz 72 2008 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 68 2012 Edge-cuts leaving components of order at least three. Zbl 1017.05063Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz 55 2002 Wiener index versus maximum degree in trees. Zbl 0993.05061Fischermann, 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 0603.30037Jank, Gerhard; Mues, Erwin; Volkmann, Lutz 48 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 33 1997 New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054Rautenbach, Dieter; Volkmann, Lutz 31 2007 Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056Hellwig, Angelika; Volkmann, Lutz 28 2004 Multipartite tournaments: a survey. Zbl 1134.05033Volkmann, Lutz 27 2007 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 27 2018 Bondage, insensitivity, and reinforcement. Zbl 0894.05025Dunbar, 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 1179.05081Hansberg, Adriana; Volkmann, Lutz 26 2009 On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 24 2008 Inverse degree and edge-connectivity. Zbl 1203.05082Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz 23 2009 Restricted arc-connectivity of digraphs. Zbl 1183.05046Volkmann, Lutz 23 2007 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 Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043Guo, Yubao; Volkmann, Lutz 20 1994 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 19 2016 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 2018 Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053Ueffing, Nicola; Volkmann, Lutz 18 2003 Vertex pancyclic graphs. Zbl 1001.05070Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz 18 2002 Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049Dankelmann, Peter; Volkmann, Lutz 17 1997 Roman domination perfect graphs. Zbl 1313.05284Rad, Nader Jafari; Volkmann, Lutz 17 2011 Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041Niessen, Thomas; Volkmann, Lutz 16 1990 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 16 2017 Characterization of graphs with equal domination and covering number. Zbl 0955.05088Randerath, Bert; Volkmann, Lutz 16 1998 On packing and covering numbers of graphs. Zbl 0759.05077Topp, Jerzy; Volkmann, Lutz 16 1991 New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065Dankelmann, Peter; Volkmann, Lutz 16 1995 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 16 2020 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 15 2016 Cuts leaving components of given minimum order. Zbl 1063.05079Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 15 2005 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 15 2011 Roman \(k\)-domination in graphs. Zbl 1177.05084Kämmerling, Karsten; Volkmann, Lutz 15 2009 The rainbow domination subdivision numbers of graph. Zbl 1464.05284Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 14 2015 Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz 14 2006 On the well coveredness of products of graphs. Zbl 0776.05090Topp, Jerzy; Volkmann, Lutz 14 1992 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, 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 0993.05083Tewes, Meike; Volkmann, Lutz; Yeo, Anders 14 2002 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 13 2015 On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119Hansberg, A.; Volkmann, L. 13 2010 Signed domatic number of a graph. Zbl 1079.05071Volkmann, Lutz; Zelinka, Bohdan 13 2005 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 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 13 2017 Fundaments of graph theory. (Fundamente der Graphentheorie.) Zbl 0844.05001Volkmann, Lutz 13 1996 Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046Tewes, Meike; Volkmann, Lutz 12 1999 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 12 2015 New bounds on the rainbow domination subdivision number. Zbl 1464.05286Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 12 2014 The Roman domination number of a digraph. Zbl 1265.05470Sheikholeslami, S. M.; Volkmann, L. 12 2011 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 11 2014 On graphs with equal domination and 2-domination numbers. Zbl 1145.05041Hansberg, Adriana; Volkmann, Lutz 11 2008 Remarks on the bondage number of planar graphs. Zbl 1009.05104Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz 11 2003 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 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 11 2018 A characterization of well covered block-cactus graphs. Zbl 0805.05070Randerath, Bert; Volkmann, Lutz 11 1994 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2020 Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031Topp, Jerzy; Volkmann, Lutz 10 1990 A linear-programming approach to the generalized Randić index. Zbl 1020.05036Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz 10 2003 Total and connected domination in digraphs. Zbl 1244.05163Arumugam, S.; Jacob, K.; Volkmann, Lutz 10 2007 Independence and \(k\)-domination in graphs. Zbl 1210.05096Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 10 2011 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 9 2016 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 9 2013 Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019Dankelmann, Peter; Volkmann, Lutz 9 2000 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 9 2016 The roman domatic number of a graph. Zbl 1193.05129Sheikholeslami, S. M.; Volkmann, L. 9 2010 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 9 2020 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 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 9 2021 Estimations for the domination number of a graph. Zbl 0699.05055Flach, Peter; Volkmann, Lutz 8 1990 Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064Volkmann, Lutz 8 2004 Strong subtournaments of multipartite tournaments. Zbl 0935.05051Volkmann, Lutz 8 1999 Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028Volkmann, Lutz; Winzen, Stefan 8 2008 Vertex pancyclic in-tournaments. Zbl 0971.05052Tewes, Meike; Volkmann, Lutz 8 2001 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 8 2018 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 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2016 Graphs with large geodetic number. Zbl 1464.05276Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2015 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 7 2016 A note on the number of matchings and independent sets in trees. Zbl 1056.05035Fischermann, Miranca; Volkmann, Lutz; Rautenbach, Dieter 7 2005 Estimations for the number of cycles in a graph. Zbl 0880.05057Volkmann, L. 7 1996 On the cycle structure of in-tournaments. Zbl 0914.05034Tewes, Meike; Volkmann, Lutz 7 1998 All regular multipartite tournaments that are cycle complementary. Zbl 1049.05043Volkmann, Lutz 7 2004 The signed \(k\)-domination number of directed graphs. Zbl 1223.05092Atapour, Maryam; Sheikholeslami, Seyyed Mahmoud; Hajypory, Rana; Volkmann, Lutz 7 2010 Independence and 2-domination in bipartite graphs. Zbl 1147.05052Fujisawa, Jun; Hansberg, Adriana; Kubo, Takahiro; Saito, Akira; Sugita, Masahide; Volkmann, Lutz 7 2008 The signed Roman domatic number of a graph. Zbl 1274.05366Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2012 Geodetic domination in graphs. Zbl 1238.05072Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L. 7 2011 Signed domatic numbers of the complete bipartite graphs. Zbl 1104.05058Volkmann, Lutz 7 2005 Distance domination and distance irredundance in graphs. Zbl 1122.05070Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 7 2007 On graphs with equal domination and independent domination numbers. Zbl 0746.05073Topp, Jerzy; Volkmann, Lutz 7 1991 Roman bondage in graphs. Zbl 1255.05137Jafari Rad, Nader; Volkmann, Lutz 7 2011 The connectivity of a graph and its complement. Zbl 1178.05055Hellwig, Angelika; Volkmann, Lutz 7 2008 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected graphs. Zbl 1352.05098Chen, Zhibing; Su, Guifu; Volkmann, Lutz 7 2017 Varieties of Roman domination. Zbl 1479.05253Chellali, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 9 2021 Bounds on the outer-independent double Italian domination number. Zbl 07392978Azvin, Farzaneh; Jafari, Rad Nader; Volkmann, Lutz 3 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 Varieties of Roman domination. II. Zbl 1468.05202Chellali, M.; Jafari Rad, N.; Sheikholeslami, S. M.; Volkmann, L. 16 2020 Roman domination in graphs. Zbl 1479.05255Chellali, Mustapha; Rad, Nader Jafari; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 11 2020 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 9 2020 Graphs with large Italian domination number. Zbl 1451.05174Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 6 2020 A survey on Roman domination parameters in directed graphs. Zbl 1466.05161Chellalil, M.; Rad, N. Jafari; Sheikholeslami, S. M.; Volkmann, L. 6 2020 Roman \(\{ 3 \}\)-domination (double Italian domination). Zbl 1442.05165Mojdeh, Doost Ali; Volkmann, Lutz 5 2020 On the signed Roman \(k\)-domination in graphs. Zbl 1452.05115Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 3 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 A note on the Roman domatic number of a digraph. Zbl 1449.05205Volkmann, Lutz; Meierling, D. 1 2020 Weak signed Roman domination in graphs. Zbl 07392961Volkmann, Lutz 1 2020 Multiple domination. Zbl 1479.05267Hansberg, Adriana; Volkmann, Lutz 1 2020 Double Roman domination in digraphs. Zbl 1419.05091Hao, Guoliang; Chen, Xiaodan; Volkmann, Lutz 4 2019 Italian domination in digraphs. Zbl 1452.05132Volkmann, Lutz 4 2019 Nonnegative signed Roman domination in graphs. Zbl 1452.05119Dehgardi, Nasrin; Volkmann, L. 4 2019 The Italian domatic number of a digraph. Zbl 1412.05085Volkmann, Lutz 3 2019 The Roman \(\{2 \}\)-domatic number of graphs. Zbl 1407.05185Volkmann, Lutz 3 2019 Bounds on the fair total domination number in trees and unicyclic graphs. Zbl 1419.05168Hajian, Majid; Rad, Nader Jafari; Volkmann, Lutz 2 2019 On the co-Roman domination in graphs. Zbl 1404.05158Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao 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 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 27 2018 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 19 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. 2 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 The restrained rainbow bondage number of a graph. Zbl 1400.05168Amjadi, J.; Dehgardi, N.; Khoeilar, R.; Sheikholeslami, S. M.; Volkmann, L. 1 2018 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 16 2017 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 14 2017 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 13 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 The \(k\)-rainbow reinforcement numbers in graphs. Zbl 1358.05205Amjadi, J.; Asgharsharghi, L.; Dehgardi, N.; Furuya, M.; Sheikholeslami, S. M.; Volkmann, L. 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 Roman game domination number of a graph. Zbl 1409.91056Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 2 2017 An introduction to the twin signed total -domination numbers in directed graphs. Zbl 1393.05195Atapour, Maryam; Dehgardi, Nasrin; Volkmann, L. 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 Roman edge \(k\)-domination in graphs. Zbl 1354.05102Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 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 On the signed \(2\)-independence number of graphs. Zbl 1467.05189Hosseini Moghaddam, S. M.; Mojdeh, D. A.; Samadi, Babak; Volkmann, Lutz 1 2017 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 19 2016 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 15 2016 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, 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 1346.05221Volkmann, Lutz 9 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 7 2016 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218Dehgardi, Nasrin; Volkmann, Lutz 7 2016 Claw-free graphs with equal 2-domination and domination numbers. Zbl 1462.05277Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz 5 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 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 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 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 7 2015 The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147Volkmann, Lutz 4 2015 The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2015 On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz 1 2015 The signed Roman domatic number of a digraph. Zbl 1467.05099Sheikholeslami, Seyed Mahmoud; 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 Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143Sheikholeslami, S. M.; Volkmann, L. 1 2014 Signed \(k\)-independence in graphs. Zbl 1284.05205Volkmann, Lutz 1 2014 Bounds on the \(k\)-independence and \(k\)-chromatic numbers of graphs. Zbl 1313.05106Blidia, Mostafa; Bouchou, Ahmed; Volkmann, Lutz 1 2014 Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078He, Zhihong; Volkmann, Lutz; Wang, Yan 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. 6 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 Total restrained bondage in graphs. Zbl 1283.05208Rad, Nader Jafari; Hasni, Roslan; Raczek, Joanna; Volkmann, Lutz 3 2013 Signed \(k\)-domatic numbers of digraphs. Zbl 1317.05067Aram, H.; Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 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 Roman domination dot-critical graphs. Zbl 1267.05191Jafari Rad, Nader; Volkmann, Lutz 1 2013 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 68 2012 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 20 2012 Changing and unchanging the roman domination number of graph. Zbl 1273.05162Jafari Rad, Nader; Volkmann, Lutz 11 2012 The signed Roman domatic number of a graph. Zbl 1274.05366Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 7 2012 On the total domatic number of regular graphs. Zbl 1293.05253Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 5 2012 Some results on roman domination edge critical graphs. Zbl 1257.05113Chellali, Mustapha; Jafari Rad, Nader; Volkmann, Lutz 5 2012 ...and 266 more Documents all cited Publications top 5 cited Publications 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 all top 5 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. 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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 ...and 82 more Serials all top 5 Cited in 35 Fields 1,000 Combinatorics (05-XX) 125 Computer science (68-XX) 121 Functions of a complex variable (30-XX) 38 Ordinary differential equations (34-XX) 31 Operations research, mathematical programming (90-XX) 30 Biology and other natural sciences (92-XX) 17 Difference and functional equations (39-XX) 12 Information and communication theory, circuits (94-XX) 9 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Commutative algebra (13-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 History and biography (01-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 Number theory (11-XX) 3 Real functions (26-XX) 3 General topology (54-XX) 2 Mathematical logic and foundations (03-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 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