Edit Profile Volkmann, Lutz Compute Distance To: Compute Author ID: volkmann.lutz Published as: Volkmann, L.; Volkmann, Lutz Homepage: http://www.math2.rwth-aachen.de/volkmann External Links: MGP · dblp Documents Indexed: 448 Publications since 1974, including 6 Books Reviewing Activity: 185 Reviews Biographic References: 3 Publications all top 5 Co-Authors 122 single-authored 78 Sheikholeslami, Seyed Mahmoud 27 Rautenbach, Dieter 22 Meierling, Dirk 21 Hansberg, Adriana 21 Jafari Rad, Nader 18 Winzen, Stefan 16 Fischermann, Miranca 15 Hellwig, Angelika 14 Amjadi, Jafar 14 Chellali, Mustapha 14 Dehgardi, Nasrin 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 Aram, Hamideh 6 Ahangar, Hossein Abdollahzadeh 5 Blidia, Mostafa 5 Favaron, Odile 5 Haynes, Teresa W. 4 Asgharsharghi, Leila 4 Holtkamp, Andreas 4 Khoeilar, Rana 4 Mojdeh, Doost Ali 4 Nazari-Moghaddam, Sakineh 3 Bahremandpour, A. 3 Ghameshlou, Arezoo Nazi 3 Hao, Guoliang 3 Henning, Michael Anthony 3 Karami, Hossein 3 Klinkenberg, Sabine 3 Samadi, Babak 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 Kämmerling, Karsten 2 Khodkar, Abdollah 2 Korneffel, Torsten 2 Milz, Sebastian 2 Norouzian, Sepideh 2 Samodivkin, Vladimir D. 2 Schiermeyer, Ingo 2 Soroudi, Marzieh 2 Ueffing, Nicola 2 Zingsem, Axel 2 Zverovich, Vadim E. 1 Alibeigi, Zeinab 1 Arumugam, Subramanian 1 Bodaghli, Asghar 1 Bongard, Kerstin 1 Bonsma, Paul S. 1 Brosch, Gunnar 1 Brüggemann, Franz 1 Butzer, Paul Leo 1 Chen, Zhibing 1 Doppel, Karl 1 Dunbar, Jean E. 1 Ebrahimi Targhi, E. 1 Escuadro, Henry E. 1 Falahat, Mohyedin 1 Fujisawa, Jun 1 Furuya, Michitaka 1 Gera, Ralucca 1 Golmohammadi, Hamidreza 1 Guo, Jia 1 Gutin, Gregory Z. 1 Hajian, Majid 1 Hajypory, Rana 1 Hasni, Roslan 1 Hosseini Moghaddam, Seyyed Mehdi 1 Jacob, Karl I. 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 1 Moghaddam, Seyed Mehdi Hosseini 1 Mohammadi, Negar 1 Mues, Erwin 1 Niessen, Thomas 1 Ouldrabah, Lyes ...and 27 more Co-Authors all top 5 Serials 69 Discrete Mathematics 34 The Australasian Journal of Combinatorics 33 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 30 Ars Combinatoria 28 Discrete Applied Mathematics 27 Discussiones Mathematicae. Graph Theory 24 Utilitas Mathematica 17 Journal of Graph Theory 10 Complex Variables. Theory and Application 10 Graphs and Combinatorics 8 Applied Mathematics Letters 8 AKCE International Journal of Graphs and Combinatorics 8 Communications in Combinatorics and Optimization 7 Journal of Combinatorial Optimization 6 Results in Mathematics 6 Aequationes Mathematicae 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Filomat 4 Information Processing Letters 4 Analele Universității București. Matematică 4 Czechoslovak Mathematical Journal 4 Tamkang Journal of Mathematics 4 The Electronic Journal of Combinatorics 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 Acta Mathematica Universitatis Comenianae. New Series 3 Opuscula Mathematica 3 Analele Ştiinţifice ale Universităţii “Ovidius” Constanţa. Seria: Matematică 3 Annales Mathematicae et Informaticae 3 Discrete Mathematics, Algorithms and Applications 2 Revue Roumaine de Mathématiques Pures et Appliquées 2 Analele Ştiinţifice ale Universităţii Al. I. Cuza din Iaşi. (Serie Nouă.) Secţiunea 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 RAIRO. Operations Research 2 Kragujevac Journal of 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 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 all top 5 Fields 414 Combinatorics (05-XX) 26 Functions of a complex variable (30-XX) 6 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 330 Publications have been cited 1,907 times in 1,010 Documents Cited by ▼ Year ▼ Einführung in die Theorie der ganzen und meromorphen Funktionen mit Anwendungen auf Differentialgleichungen. (Introduction to the theory of entire and meromorphic functions with applications to differential equations). Zbl 0682.30001Jank, Gerhard; Volkmann, Lutz 86 1985 Maximally edge-connected and vertex-connected graphs and digraphs: A survey. Zbl 1160.05038Hellwig, Angelika; Volkmann, Lutz 67 2008 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 57 2012 Edge-cuts leaving components of order at least three. Zbl 1017.05063Bonsma, Paul; Ueffing, Nicola; Volkmann, Lutz 52 2002 Wiener index versus maximum degree in trees. Zbl 0993.05061Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Székely, László; Volkmann, Lutz 49 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 45 1986 Sufficient conditions for graphs to be \(\lambda'\)-optimal, super-edge-connected, and maximally edge-connected. Zbl 1062.05084Hellwig, Angelika; Volkmann, Lutz 34 2005 Cycles in multipartite tournaments: Results and problems. Zbl 0996.05063Volkmann, Lutz 33 2002 A classification of locally semicomplete digraphs. Zbl 0873.05072Bang-Jensen, Jørgen; Guo, Yubao; Gutin, Gregory; Volkmann, Lutz 30 1997 Sufficient conditions for \(\lambda'\)-optimality in graphs of diameter 2. Zbl 1042.05056Hellwig, Angelika; Volkmann, Lutz 29 2004 Bondage, insensitivity, and reinforcement. Zbl 0894.05025Dunbar, Jean E.; Teschner, Ulrich; Haynes, Teresa W.; Volkmann, Lutz 26 1998 New bounds on the \(k\)-domination number and the \(k\)-tuple domination number. Zbl 1137.05054Rautenbach, Dieter; Volkmann, Lutz 25 2007 Upper bounds on the \(k\)-domination number and the \(k\)-Roman domination number. Zbl 1179.05081Hansberg, Adriana; Volkmann, Lutz 22 2009 Restricted arc-connectivity of digraphs. Zbl 1183.05046Volkmann, Lutz 22 2007 Multipartite tournaments: a survey. Zbl 1134.05033Volkmann, Lutz 22 2007 On \(k\)-domination and minimum degree in graphs. Zbl 1211.05110Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 19 2008 Connectivity properties of locally semicomplete digraphs. Zbl 0830.05043Guo, Yubao; Volkmann, Lutz 19 1994 Inverse degree and edge-connectivity. Zbl 1203.05082Dankelmann, Peter; Hellwig, Angelika; Volkmann, Lutz 18 2009 Restricted edge-connectivity and minimum edge-degree. Zbl 1078.05053Ueffing, Nicola; Volkmann, Lutz 18 2003 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 16 2018 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 16 2012 Signed Roman domination in digraphs. Zbl 1327.05141Sheikholeslami, S. M.; Volkmann, L. 15 2015 Cuts leaving components of given minimum order. Zbl 1063.05079Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 15 2005 Vertex pancyclic graphs. Zbl 1001.05070Randerath, Bert; Schiermeyer, Ingo; Tewes, Meike; Volkmann, Lutz 15 2002 Degree sequence conditions for maximally edge-connected graphs and digraphs. Zbl 0879.05049Dankelmann, Peter; Volkmann, Lutz 15 1997 New sufficient conditions for equality of minimum degree and edge-connectivity. Zbl 0839.05065Dankelmann, Peter; Volkmann, Lutz 15 1995 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 14 2018 Almost all almost regular \(c\)-partite tournaments with \(c\geq 5\) are vertex pancyclic. Zbl 0993.05083Tewes, Meike; Volkmann, Lutz; Yeo, Anders 14 2002 Fundaments of graph theory. Zbl 0844.05001Volkmann, Lutz 14 1996 Class 1 conditions depending on the minimum degree and the number of vertices of maximum degree. Zbl 0704.05041Niessen, Thomas; Volkmann, Lutz 14 1990 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 13 2016 Some bounds on the \(p\)-domination number in trees. Zbl 1100.05069Blidia, Mostafa; Chellali, Mustapha; Volkmann, Lutz 13 2006 Characterization of graphs with equal domination and covering number. Zbl 0955.05088Randerath, Bert; Volkmann, Lutz 13 1998 Cycles in multipartite tournaments. Zbl 0807.05034Guo, Yubao; Volkmann, Lutz 13 1994 On packing and covering numbers of graphs. Zbl 0759.05077Topp, Jerzy; Volkmann, Lutz 13 1991 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 12 2016 Signed domatic number of a graph. Zbl 1079.05071Volkmann, Lutz; Zelinka, Bohdan 12 2005 Vertex deletion and cycles in multipartite tournaments. Zbl 0939.05046Tewes, Meike; Volkmann, Lutz 12 1999 On complementary cycles in locally semicomplete digraphs. Zbl 0816.05036Guo, Yubao; Volkmann, Lutz 12 1994 A new domination conception. Zbl 0777.05074Stracke, Christoph; Volkmann, Lutz 12 1993 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 11 2011 Roman \(k\)-domination in graphs. Zbl 1177.05084Kämmerling, Karsten; Volkmann, Lutz 11 2009 Remarks on the bondage number of planar graphs. Zbl 1009.05104Fischermann, Miranca; Rautenbach, Dieter; Volkmann, Lutz 11 2003 On the well coveredness of products of graphs. Zbl 0776.05090Topp, Jerzy; Volkmann, Lutz 11 1992 Maximal Roman domination numbers in graphs. Zbl 1373.05133Ahangar, H. Abdollahzadeh; Bahremandpour, A.; Sheikholeslami, S. M.; Soner, N. D.; Tahmasbzadehbaee, Z.; Volkmann, L. 10 2017 The rainbow domination subdivision numbers of graph. Zbl 06749240Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 10 2015 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 10 2015 A linear-programming approach to the generalized Randić index. Zbl 1020.05036Fischermann, Miranca; Hoffmann, Arne; Rautenbach, Dieter; Volkmann, Lutz 10 2003 On cycles through a given vertex in multipartite tournaments. Zbl 0883.05087Guo, Yubao; Pinkernell, Axel; Volkmann, Lutz 10 1997 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 9 2017 New bounds on the rainbow domination subdivision number. Zbl 06704786Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2014 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 9 2014 The Roman domination number of a digraph. Zbl 1265.05470Sheikholeslami, S. M.; Volkmann, L. 9 2011 Independence and \(k\)-domination in graphs. Zbl 1210.05096Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 9 2011 Degree sequence conditions for maximally edge-connected graphs depending on the clique number. Zbl 0941.05019Dankelmann, Peter; Volkmann, Lutz 9 2000 Sufficient conditions for equality of connectivity and minimum degree of a graph. Zbl 0794.05063Topp, Jerzy; Volkmann, Lutz 9 1993 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 8 2018 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 8 2015 Changing and unchanging the roman domination number of graph. Zbl 1273.05162Jafari Rad, Nader; Volkmann, Lutz 8 2012 Roman domination perfect graphs. Zbl 1313.05284Rad, Nader Jafari; Volkmann, Lutz 8 2011 Total and connected domination in digraphs. Zbl 1244.05163Arumugam, S.; Jacob, K.; Volkmann, Lutz 8 2007 Complementary cycles in regular multipartite tournaments, where one cycle has length four. Zbl 1063.05064Volkmann, Lutz 8 2004 Vertex pancyclic in-tournaments. Zbl 0971.05052Tewes, Meike; Volkmann, Lutz 8 2001 Locally semicomplete digraphs that are complementary \(m\)-pancyclic. Zbl 0845.05048Guo, Yubao; Volkmann, Lutz 8 1996 A characterization of well covered block-cactus graphs. Zbl 0805.05070Randerath, Bert; Volkmann, Lutz 8 1994 Well covered and well dominated block graphs and unicyclic graphs. Zbl 0728.05031Topp, Jerzy; Volkmann, Lutz 8 1990 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 7 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 roman domatic number of a graph. Zbl 1193.05129Sheikholeslami, S. M.; Volkmann, L. 7 2010 On the geodetic and geodetic domination numbers of a graph. Zbl 1219.05119Hansberg, A.; Volkmann, L. 7 2010 On graphs with equal domination and 2-domination numbers. Zbl 1145.05041Hansberg, Adriana; Volkmann, Lutz 7 2008 Almost regular \(c\)-partite tournaments contain a strong subtournament of order \(c\) when \(c\geqslant 5\). Zbl 1139.05028Volkmann, Lutz; Winzen, Stefan 7 2008 Signed domatic numbers of the complete bipartite graphs. Zbl 1104.05058Volkmann, Lutz 7 2005 All regular multipartite tournaments that are cycle complementary. Zbl 1049.05043Volkmann, Lutz 7 2004 Strong subtournaments of multipartite tournaments. Zbl 0935.05051Volkmann, Lutz 7 1999 On the cycle structure of in-tournaments. Zbl 0914.05034Tewes, Meike; Volkmann, Lutz 7 1998 Tree-Ramsey numbers. Zbl 0828.05043Guo, Yubao; Volkmann, Lutz 7 1995 On graphs with equal domination and covering numbers. Zbl 0803.05049Volkmann, Lutz 7 1994 Estimations for the domination number of a graph. Zbl 0699.05055Flach, Peter; Volkmann, Lutz 7 1990 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 6 2016 Vertex and edge critical Roman domination in graphs. Zbl 1293.05264Jafari Rad, Nader; Hansberg, Adriana; Volkmann, Lutz 6 2013 The signed \(k\)-domination number of directed graphs. Zbl 1223.05092Atapour, Maryam; Sheikholeslami, Seyyed Mahmoud; Hajypory, Rana; Volkmann, Lutz 6 2010 Independence and 2-domination in bipartite graphs. Zbl 1147.05052Fujisawa, Jun; Hansberg, Adriana; Kubo, Takahiro; Saito, Akira; Sugita, Masahide; Volkmann, Lutz 6 2008 Complementary cycles in regular multipartite tournaments. Zbl 1076.05042Volkmann, Lutz 6 2005 A note on the number of matchings and independent sets in trees. Zbl 1056.05035Fischermann, Miranca; Volkmann, Lutz; Rautenbach, Dieter 6 2005 Note on the connectivity of line graphs. Zbl 1178.68088Hellwig, Angelika; Rautenbach, Dieter; Volkmann, Lutz 6 2004 Some remarks on \(\alpha\)-domination. Zbl 1068.05051Dahme, Franz; Rautenbach, Dieter; Volkmann, Lutz 6 2004 Vertex 6-pancyclic in-tournaments. Zbl 1050.05060Peters, Christian; Volkmann, Lutz 6 2004 Hamiltonian paths, containing a given path or collection of arcs, in close to regular multipartite tournaments. Zbl 1050.05061Volkmann, Lutz; Yeo, Anders 6 2004 Cycles through a given arc in almost regular multipartite tournaments. Zbl 1023.05071Volkmann, Lutz; Winzen, Stefan 6 2003 Estimations for the number of cycles in a graph. Zbl 0880.05057Volkmann, L. 6 1996 Regular graphs, regular factors, and the impact of Petersen’s theorems. Zbl 0822.05053Volkmann, L. 6 1995 On graphs with equal domination and independent domination numbers. Zbl 0746.05073Topp, Jerzy; Volkmann, Lutz 6 1991 Edge-connectivity in \(p\)-partite graphs. Zbl 0800.05008Volkmann, Lutz 6 1989 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 5 2016 The rainbow domination number of a digraph. Zbl 1299.05249Amjadi, J.; Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 5 2013 On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. Zbl 1261.05074Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 5 2013 Roman bondage in graphs. Zbl 1255.05137Jafari Rad, Nader; Volkmann, Lutz 5 2011 On the Roman bondage number of planar graphs. Zbl 1235.05105Jafari Rad, Nader; Volkmann, Lutz 5 2011 Signed total \(k\)-domination numbers of directed graphs. Zbl 1224.05216Sheikholeslami, S. M.; Volkmann, L. 5 2010 Total double Roman domination in graphs. Zbl 1449.05200Hao, Guoliang; Volkmann, Lutz; Mojdeh, Doost Ali 2 2020 Graphs with large Italian domination number. Zbl 1451.05174Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 1 2020 Double Roman domination in digraphs. Zbl 1419.05091Hao, Guoliang; Chen, Xiaodan; Volkmann, 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 Italian domination in digraphs. Zbl 1452.05132Volkmann, Lutz 1 2019 Double Roman domination and domatic numbers of graphs. Zbl 1384.05128Volkmann, Lutz 16 2018 An upper bound on the double Roman domination number. Zbl 1437.05177Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 14 2018 The double Roman domatic number of a graph. Zbl 1390.05181Volkmann, Lutz 8 2018 Signed total Roman \(k\)-domination in graphs. Zbl 1396.05087Volkmann, Lutz 1 2018 Relating the annihilation number and the Roman domination number. Zbl 1413.05278Aram, H.; 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. 10 2017 Total Roman domination number of trees. Zbl 1375.05190Amjadi, J.; Nazari-Moghaddam, S.; Sheikholeslami, S. M.; Volkmann, L. 9 2017 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 7 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. 3 2017 Twin signed domination numbers in directed graphs. Zbl 1386.05130Atapour, Maryam; Norouzian, Sepideh; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2017 Sufficient conditions for maximally edge-connected and super-edge-connected. Zbl 1386.05098Volkmann, Lutz; Hong, Zhen-Mu 2 2017 The signed total Roman \(k\)-domatic number of a graph. Zbl 1372.05165Volkmann, Lutz 2 2017 Lower bounds on the signed \(k\)-domination number of graphs. Zbl 06837000Volkmann, Lutz 1 2017 Universal arcs in local tournaments. Zbl 1370.05081Meng, Wei; Guo, Jia; Lu, Mei; Guo, Yubao; Volkmann, Lutz 1 2017 Roman game domination number of a graph. Zbl 1409.91056Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 1 2017 Signed Roman edge \(k\)-domination in graphs. Zbl 1354.05102Asgharsharghi, Leila; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2017 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170Henning, Michael A.; Volkmann, Lutz 13 2016 Signed total Roman domination in graphs. Zbl 1348.05159Volkmann, Lutz 12 2016 Signed Roman edge domination numbers in graphs. Zbl 1331.05165Ahangar, H. Abdollahzadeh; Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L.; Zhao, Y. 6 2016 Signed Roman \(k\)-domination in digraphs. Zbl 1338.05104Volkmann, Lutz 5 2016 Claw-free graphs with equal 2-domination and domination numbers. Zbl 06749924Hansberg, Adriana; Randerath, Bert; Volkmann, Lutz 3 2016 Twin signed Roman domination numbers in directed graphs. Zbl 1358.05209Bodaghli, Asghar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 3 2016 On the signed total Roman domination and domatic numbers of graphs. Zbl 1346.05221Volkmann, Lutz 3 2016 The signed Roman \(k\)-domatic number of digraphs. Zbl 1333.05232Volkmann, Lutz 3 2016 Global rainbow domination in graphs. Zbl 1389.05119Amjadi, J.; Sheikholeslami, S. M.; Volkmann, L. 2 2016 Sufficient conditions on the zeroth-order general Randić index for maximally edge-connected digraphs. Zbl 1365.05114Volkmann, L. 2 2016 Lower bounds on the signed total \(k\)-domination number of graphs. Zbl 1336.05105Volkmann, Lutz 2 2016 Signed total Roman \(k\)-domination in directed graphs. Zbl 1365.05218Dehgardi, Nasrin; Volkmann, Lutz 1 2016 Signed mixed Roman domination numbers in graphs. Zbl 1352.05140Abdollahzadeh Ahangar, H.; Asgharsharghi, L.; Sheikholeslami, S. M.; Volkmann, L. 1 2016 Total restrained reinforcement in graphs. Zbl 1346.05219Rad, Nader Jafari; Volkmann, Lutz 1 2016 The \(k\)-rainbow domination and domatic numbers of digraphs. Zbl 1342.05104Sheikholeslami, S. M.; Volkmann, Lutz 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. 15 2015 The rainbow domination subdivision numbers of graph. Zbl 06749240Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 10 2015 Signed Roman \(k\)-domination in trees. Zbl 1311.05150Henning, Michael A.; Volkmann, Lutz 10 2015 Global Roman domination in trees. Zbl 1318.05049Atapour, M.; Sheikholeslami, S. M.; Volkmann, L. 8 2015 Graphs with large geodetic number. Zbl 06749104Ahangar, Hossein Abdollahzadeh; Kosari, Saeed; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 3 2015 The signed Roman \(k\)-domatic number of a graph. Zbl 1303.05147Volkmann, Lutz 3 2015 On the signed (total) \(k\)-independence number in graphs. Zbl 1327.05261Khodkar, Abdollah; Samadi, Babak; Volkmann, Lutz 1 2015 The \(k\)-rainbow bondage number of a digraph. Zbl 1311.05142Amjadi, Jafar; Mohammadi, Negar; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2015 New bounds on the rainbow domination subdivision number. Zbl 06704786Falahat, Mohyedin; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 9 2014 The \(k\)-rainbow bondage number of a graph. Zbl 1297.05080Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, L. 9 2014 Upper bounds for the domination number in graphs of diameter two. Zbl 1293.05270Meierling, Dirk; Volkmann, Lutz 2 2014 Signed star \((k,k)\)-domatic number of a graph. Zbl 1328.05143Sheikholeslami, S. M.; Volkmann, L. 1 2014 Complementary cycles in almost regular multipartite tournaments. Zbl 1324.05078He, Zhihong; Volkmann, Lutz; Wang, Yan 1 2014 \(k\)-tuple total domatic number of a graph. Zbl 1310.05164Sheikholeslami, 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 6 2013 The rainbow domination number of a digraph. Zbl 1299.05249Amjadi, J.; Bahremandpour, A.; Sheikholeslami, S. M.; Volkmann, L. 5 2013 On the total \(\{ k\} \)-domination and total \(\{ k\} \)-domatic number of graphs. Zbl 1261.05074Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 5 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 A note on the independent domination number in graphs. Zbl 1287.05107Rad, Nader Jafari; Volkmann, Lutz 2 2013 Roman game domination subdivision number of a graph. Zbl 1301.05066Amjadi, Jafar; Karami, Hossein; Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2013 Bounds on the signed 2-independence number in graphs. Zbl 1295.05182Volkmann, Lutz 1 2013 Complementary cycles in almost regular multipartite tournaments, where one cycle has length four. Zbl 1286.05058Volkmann, Lutz 1 2013 \(k\)-domination and \(k\)-independence in graphs: A survey. Zbl 1234.05174Chellali, Mustapha; Favaron, Odile; Hansberg, Adriana; Volkmann, Lutz 57 2012 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 16 2012 Changing and unchanging the roman domination number of graph. Zbl 1273.05162Jafari Rad, Nader; Volkmann, Lutz 8 2012 On the total domatic number of regular graphs. Zbl 1293.05253Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 4 2012 The signed Roman domatic number of a graph. Zbl 1274.05366Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 4 2012 On regular \((2,q)\)-extendable graphs. Zbl 1274.05394Volkmann, Lutz 3 2012 Some results on roman domination edge critical graphs. Zbl 1257.05113Chellali, Mustapha; Jafari Rad, Nader; Volkmann, Lutz 3 2012 Sufficient conditions for triangle-free graphs to be optimally restricted edge-connected. Zbl 1245.05077Meierling, Dirk; Volkmann, Lutz 2 2012 Vertex-removal in \(K\)-domination. Zbl 1289.05359Rad, Nader Jafari; Volkmann, Lutz 1 2012 The signed \((k,k)\)-domatic number of digraphs. Zbl 1257.05052Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 1 2012 The distance Roman domatic number of a graph. Zbl 1256.05160Aram, H.; Sheikholeslami, S. M.; Volkmann, L. 1 2012 Global offensive \(k\)-alliance in bipartite graphs. Zbl 1245.05097Chellali, Mustapha; Volkmann, Lutz 1 2012 The total \(\{k\}\)-domatic number of a graph. Zbl 1243.90229Sheikholeslami, S. M.; Volkmann, L. 1 2012 Signed total \((k,k)\)-domatic number of digraphs. Zbl 1232.05171Sheikholeslami, S. M.; Volkmann, L. 1 2012 Signed 2-independence in digraphs. Zbl 1238.05113Volkmann, Lutz 1 2012 Nordhaus-Gaddum bounds on the \(k\)-rainbow domatic number of a graph. Zbl 1222.05200Meierling, D.; Sheikholeslami, S. M.; Volkmann, L. 11 2011 The Roman domination number of a digraph. Zbl 1265.05470Sheikholeslami, S. M.; Volkmann, L. 9 2011 Independence and \(k\)-domination in graphs. Zbl 1210.05096Hansberg, Adriana; Meierling, Dirk; Volkmann, Lutz 9 2011 Roman domination perfect graphs. Zbl 1313.05284Rad, Nader Jafari; Volkmann, Lutz 8 2011 Roman bondage in graphs. Zbl 1255.05137Jafari Rad, Nader; Volkmann, Lutz 5 2011 On the Roman bondage number of planar graphs. Zbl 1235.05105Jafari Rad, Nader; Volkmann, Lutz 5 2011 Signed domination and signed domatic numbers of digraphs. Zbl 1227.05207Volkmann, Lutz 4 2011 Geodetic domination in graphs. Zbl 1238.05072Escuadro, H.; Gera, R.; Hansberg, A.; Rad, N. Jafari; Volkmann, L. 4 2011 Unique response Roman domination in graphs. Zbl 1225.05196Targhi, E. Ebrahimi; Rad, N. Jafari; Volkmann, L. 3 2011 Signed star \(k\)-domatic number of a graph. Zbl 1317.05142Sheikholeslami, Seyed Mahmoud; Volkmann, Lutz 2 2011 On 2-domination and independence domination numbers of graphs. Zbl 1265.05460Hansberg, Adriana; Volkmann, Lutz 2 2011 Characterization of Roman domination critical unicyclic graphs. Zbl 1264.05092Hansberg, A.; Jafari Rad, N.; Volkmann, L. 2 2011 Degree sequence conditions for maximally edge-connected and super-edge-connected oriented graphs depending on the clique number. Zbl 1265.05335Volkmann, Lutz 1 2011 Connected global offensive \(k\)-alliances in graphs. Zbl 1255.05143Volkmann, Lutz 1 2011 Characterization of trees with equal 2-domination number and domination number plus two. Zbl 1255.05132Chellali, Mustapha; Volkmann, Lutz 1 2011 On the Roman \(k\)-bondage number of a graph. Zbl 1247.05172Dehgardi, N.; Sheikholeslami, S. M.; Volkmann, Lutz 1 2011 A note on signed total 2-independence in graphs. Zbl 1238.05205Wang, Haichao; Tong, Jie; Volkmann, Lutz 1 2011 Bounds on the \(k\)-tuple domatic number of a graph. Zbl 1289.05362Volkmann, Lutz 1 2011 Some remarks on degree sets of multigraphs. Zbl 1233.05089Volkmann, Lutz 1 2011 ...and 230 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 1,082 Authors 138 Volkmann, Lutz 51 Sheikholeslami, Seyed Mahmoud 27 Henning, Michael Anthony 26 Jafari Rad, Nader 26 Rautenbach, Dieter 23 Chellali, Mustapha 20 Amjadi, Jafar 20 Xu, Junming 19 Wang, Shiying 18 Balbuena, Camino 18 Guo, Yubao 16 Ahangar, Hossein Abdollahzadeh 16 García-Vázquez, Pedro 16 Meierling, Dirk 15 Meng, Jixiang 15 Yi, Hongxun 14 Zhang, Zhao 13 Bang-Jensen, Jørgen 13 Hao, Guoliang 11 Bergweiler, Walter 11 Dankelmann, Peter 11 Li, Xiaomin 11 Lin, Shangwei 11 Nazari-Moghaddam, Sakineh 10 Dehgardi, Nasrin 10 Hansberg, Adriana 10 Hellwig, Angelika 10 Mojdeh, Doost Ali 10 Montejano, Luis Pedro 10 Wang, Jun 10 Winzen, Stefan 10 Yeo, Anders 9 Shan, Erfang 9 Wang, Hua 8 Guo, Qiaoping 8 Li, Shengjia 8 Lu, Mei 8 Ou, Jianping 8 Shao, Zehui 8 Wang, Hua 8 Yang, Weihua 7 Blidia, Mostafa 7 Diánez, Ana 7 Haynes, Teresa W. 7 He, Zhihong 7 Klavžar, Sandi 7 Lahiri, Indrajit 7 Levit, Vadim E. 7 Li, Ruijuan 7 Liu, Qinghai 7 Mandrescu, Eugen 7 Meng, Wei 7 Samodivkin, Vladimir D. 7 Yero, Ismael Gonzalez 6 Bujtás, Csilla 6 Chen, Xiaodan 6 Fang, Mingliang 6 Galeana-Sánchez, Hortensia 6 Gutin, Gregory Z. 6 Hong, Yanmei 6 Huang, Jia 6 Kang, Liying 6 Laine, Ilpo 6 Li, Ping 6 Lu, You 6 Marcote, Xavier 6 Samadi, Babak 6 Zhang, Heping 6 Zverovich, Vadim E. 5 Cera, Martín 5 Cheng, Eddie 5 de Almeida, Regina 5 Hedetniemi, Stephen Travis 5 Holtkamp, Andreas 5 Hu, Fu-Tao 5 Kaish, Imrul 5 Kheddouci, Hamamache 5 Khoeilar, Rana 5 Li, Chunfang 5 Liu, Aixia 5 Miklavič, Štefko 5 Raczek, Joanna 5 Soroudi, Marzieh 5 Tian, Yingzhi 5 Topp, Jerzy 5 Tuza, Zsolt 5 Wagner, Stephan G. 5 Wu, Pu 5 Yuan, Jun 5 Zhao, Shuang 5 Zhao, Weisheng 5 Zhou, Sanming 4 Andriantiana, Eric Ould Dadah 4 Asgharsharghi, Leila 4 Atapour, Maryam 4 Bouchou, Ahmed 4 Caro, Yair 4 Chen, Xing 4 Chiang, Yik-Man 4 Das, Kinkar Chandra ...and 982 more Authors all top 5 Cited in 161 Serials 159 Discrete Mathematics 149 Discrete Applied Mathematics 61 Graphs and Combinatorics 38 Journal of Mathematical Analysis and Applications 36 Discussiones Mathematicae. Graph Theory 34 Journal of Combinatorial Optimization 30 Applied Mathematics and Computation 28 Theoretical Computer Science 26 Discrete Mathematics, Algorithms and Applications 23 Information Processing Letters 18 Applied Mathematics Letters 15 Acta Mathematica Sinica. English Series 14 Results in Mathematics 14 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 13 Journal of Graph Theory 13 The Australasian Journal of Combinatorics 12 Communications in Combinatorics and Optimization 9 Information Sciences 9 Quaestiones Mathematicae 9 International Journal of Computer Mathematics 9 Advances in Difference Equations 8 Czechoslovak Mathematical Journal 7 Aequationes Mathematicae 7 Computational Methods and Function Theory 7 Asian-European Journal of Mathematics 7 Transactions on Combinatorics 6 Archiv der Mathematik 6 Networks 6 Acta Mathematicae Applicatae Sinica. English Series 6 Discrete Optimization 5 Journal of Computer and System Sciences 5 Journal of Mathematical Chemistry 5 Journal of Applied Mathematics and Computing 5 AKCE International Journal of Graphs and Combinatorics 4 Computers & Mathematics with Applications 4 Journal of Approximation Theory 4 Journal of Combinatorial Theory. Series B 4 Linear Algebra and its Applications 4 The Electronic Journal of Combinatorics 4 RAIRO. Operations Research 4 Iranian Journal of Science and Technology. Transaction A: Science 4 Frontiers of Mathematics in China 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 Ars Mathematica Contemporanea 3 International Journal of Combinatorics 3 Science China. Mathematics 2 Indian Journal of Pure & Applied Mathematics 2 Israel Journal of Mathematics 2 Journal d’Analyse Mathématique 2 Linear and Multilinear Algebra 2 Monatshefte für Mathematik 2 Transactions of the American Mathematical Society 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 Annales Academiae Scientiarum Fennicae. Mathematica 2 Theory of Computing Systems 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 Journal of Discrete Mathematical Sciences & Cryptography 2 Communications of the Korean Mathematical Society 2 Complex Variables and Elliptic Equations 2 Complex Analysis and Operator Theory 2 Acta Universitatis Sapientiae. Informatica 2 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 2 Bollettino dell’Unione Matematica Italiana 1 Bulletin of the Australian Mathematical Society 1 Communications in Algebra 1 Mathematics Magazine 1 Acta Mathematica Vietnamica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Canadian Mathematical Bulletin 1 Illinois Journal of Mathematics 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Journal of Soviet Mathematics 1 Kyungpook Mathematical Journal 1 Le Matematiche 1 Mathematische Annalen 1 Mathematica Slovaca 1 Mathematische Zeitschrift 1 Nagoya Mathematical Journal 1 Utilitas Mathematica 1 Topology and its Applications 1 Advances in Applied Mathematics 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematica Hungarica 1 Bulletin of the Iranian Mathematical Society 1 Journal of Complexity 1 Constructive Approximation ...and 61 more Serials all top 5 Cited in 32 Fields 819 Combinatorics (05-XX) 126 Functions of a complex variable (30-XX) 103 Computer science (68-XX) 38 Ordinary differential equations (34-XX) 28 Operations research, mathematical programming (90-XX) 22 Biology and other natural sciences (92-XX) 16 Difference and functional equations (39-XX) 8 Information and communication theory, circuits (94-XX) 6 Dynamical systems and ergodic theory (37-XX) 6 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 4 Commutative algebra (13-XX) 4 Group theory and generalizations (20-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 2 Potential theory (31-XX) 2 Special functions (33-XX) 2 Partial differential equations (35-XX) 2 Approximations and expansions (41-XX) 2 Geometry (51-XX) 2 Convex and discrete geometry (52-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Operator theory (47-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) Citations by Year