Edit Profile (opens in new tab) Henning, Michael Anthony Co-Author Distance Author ID: henning.michael-anthony Published as: Henning, Michael A.; Henning, M. A.; Henning, Michael; Henning, Michael Anthony; Henning, Michael. A. more...less Homepage: https://www.uj.ac.za/members/prof-michael-henning/ External Links: MGP · ORCID · Wikidata · Google Scholar · ResearchGate · dblp · GND · IdRef · theses.fr Documents Indexed: 575 Publications since 1987, including 6 Books and 16 Additional arXiv Preprints 3 Contributions as Editor Co-Authors: 202 Co-Authors with 530 Joint Publications 3,994 Co-Co-Authors all top 5 Co-Authors 47 single-authored 90 Haynes, Teresa W. 57 Yeo, Anders 48 Goddard, Wayne Dean 28 Hattingh, Johannes H. 28 Swart, Henda C. 23 Rautenbach, Dieter 22 Löwenstein, Christian 21 Hedetniemi, Stephen Travis 21 Oellermann, Ortrud R. 19 Desormeaux, Wyatt J. 19 Rall, Douglas F. 18 Southey, Justin 17 Jafari Rad, Nader 15 Chartrand, Gary Theodore 14 Klavžar, Sandi 13 Brešar, Boštjan 13 Slater, Peter James 13 van der Merwe, Lucas C. 12 Davila, Randy Ryan 11 Zhang, Ping 10 Dorbec, Paul 8 Dankelmann, Peter 8 Pandey, Arti 7 Bujtás, Csilla 7 Dorfling, Michael J. 7 Favaron, Odile 7 Pradhan, Dinabandhu 7 Topp, Jerzy 6 Dettlaff, Magda 6 Dunbar, Jean E. 6 Foucaud, Florent 6 Klostermeyer, William F. 6 Tripathi, Vikash 5 Babikir, Ammar 5 Caro, Yair 5 Joubert, Ernst J. 5 MacGillivray, Gary 5 Maharaj, Hiren 5 Maritz, J. E. 5 McCoy, John J. 5 Mynhardt, Christina Magdalena 5 Tuza, Zsolt 5 Vestergaard, Preben Dahl 4 Abrishami, Gholamreza 4 Fricke, Gerd H. 4 Fürst, Maximilian 4 Hajian, Majid 4 Harris, Laura M. 4 Kaemawichanurat, Pawaton 4 Kazemi, Adel P. 4 Marcon, Alister J. 4 Marcon, Sinclair A. 4 McRae, Alice A. 4 Pilśniak, Monika 4 Shan, Erfang 4 Shozi, Zekhaya B. 4 Ungerer, Elna 3 Bakhshesh, Davood 3 Bau, Sheng 3 Beineke, Lowell Wayne 3 Brause, Christoph 3 Broere, Izak 3 Cyman, Joanna 3 Dravec, Tanja 3 Frendrup, Allan 3 Gentner, Michael 3 Harant, Jochen 3 Hartnell, Bert L. 3 Hedetniemi, Sandra Lee Mitchell 3 Jäger, Simon B. 3 Kang, Liying 3 Lemańska, Magdalena 3 Markus, Lisa R. 3 Mohr, Elena 3 Naicker, Viroshan 3 Pepper, Ryan D. 3 Raczek, Joanna 3 Schiermeyer, Ingo 3 van Vuuren, Jan Harm 3 Volkmann, Lutz 3 Wash, Kirsti 3 Winter, Paul August 2 Ahangar, Hossein Abdollahzadeh 2 Akbari, Saieed 2 Bachstein, Anna Caroline 2 Banerjee, Sumanta 2 Baste, Julien 2 Burger, Alewyn Petrus 2 Cornet, María Gracia 2 Day, David P. 2 Domke, Gayla S. 2 Erwin, David John 2 Frick, Marietjie 2 Ghanbari, Nima 2 Gimbel, John G. 2 Gorzkowska, Aleksandra 2 Hansberg, Adriana 2 Hopkins, Lora S. 2 Iršič, Vesna 2 Jarrett, Elzbieta B. ...and 103 more Co-Authors all top 5 Serials 112 Discrete Mathematics 69 Discrete Applied Mathematics 35 Graphs and Combinatorics 31 Ars Combinatoria 28 Journal of Graph Theory 28 Discussiones Mathematicae. Graph Theory 27 Journal of Combinatorial Optimization 26 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 25 Utilitas Mathematica 24 Quaestiones Mathematicae 18 The Australasian Journal of Combinatorics 13 The Electronic Journal of Combinatorics 9 SIAM Journal on Discrete Mathematics 8 European Journal of Combinatorics 7 Applied Mathematics and Computation 6 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Bulletin of the Institute of Combinatorics and its Applications 5 Discrete Mathematics and Theoretical Computer Science. DMTCS 5 Central European Journal of Mathematics 4 Theoretical Computer Science 3 Applied Mathematics Letters 3 Congressus Numerantium 3 Discrete Optimization 3 Developments in Mathematics 3 Applicable Analysis and Discrete Mathematics 3 Ars Mathematica Contemporanea 2 Indian Journal of Pure & Applied Mathematics 2 Information Processing Letters 2 Journal of Combinatorics, Information & System Sciences 2 Journal of Global Optimization 2 Opuscula Mathematica 2 Taiwanese Journal of Mathematics 2 Annals of Combinatorics 2 Contributions to Discrete Mathematics 2 SpringerBriefs in Mathematics 2 Springer Monographs in Mathematics 1 Czechoslovak Mathematical Journal 1 Networks 1 Combinatorica 1 Mathematica Bohemica 1 Mathematica Pannonica 1 Filomat 1 Theory of Computing Systems 1 Acta Mathematica Sinica. English Series 1 Mediterranean Journal of Mathematics 1 Discrete Mathematics, Algorithms and Applications 1 Springer Optimization and Its Applications 1 Communications in Combinatorics and Optimization 1 Indian Journal of Discrete Mathematics 1 Mathematica Pannonica. New Series all top 5 Fields 560 Combinatorics (05-XX) 25 Computer science (68-XX) 19 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Operations research, mathematical programming (90-XX) 4 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Geometry (51-XX) 1 Convex and discrete geometry (52-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 472 Publications have been cited 5,376 times in 2,146 Documents Cited by ▼ Year ▼ Total domination in graphs. Zbl 1408.05002 Henning, Michael A.; Yeo, Anders 292 2013 A survey of selected recent results on total domination in graphs. Zbl 1219.05121 Henning, Michael A. 182 2009 Domination in graphs applied to electric power networks. Zbl 1006.05043 Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Henning, Michael A. 120 2002 Independent domination in graphs: A survey and recent results. Zbl 1260.05113 Goddard, Wayne; Henning, Michael A. 101 2013 Rainbow domination in graphs. Zbl 1163.05046 Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F. 88 2008 Defending the Roman Empire—a new strategy. Zbl 1024.05068 Henning, Michael A.; Hedetniemi, Stephen T. 80 2003 Signed domination in graphs. Zbl 0842.05051 Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; Slater, Peter J. 71 1995 Locating and total dominating sets in trees. Zbl 1091.05051 Haynes, Teresa W.; Henning, Michael A.; Howard, Jamie 63 2006 Hypergraphs with large transversal number and with edge sizes at least 3. Zbl 1211.05091 Henning, Michael A.; Yeo, Anders 57 2008 Graphs with large total domination number. Zbl 0959.05089 Henning, Michael A. 54 2000 Signed Roman domination in graphs. Zbl 1319.90070 Abdollahzadeh Ahangar, H.; Henning, Michael A.; Löwenstein, Christian; Zhao, Yancai; Samodivkin, Vladimir 54 2014 Topics in domination in graphs. Zbl 1470.05008 53 2020 Vizing’s conjecture: a survey and recent results. Zbl 1234.05173 Brešar, Boštjan; Dorbec, Paul; Goddard, Wayne; Hartnell, Bert L.; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 52 2012 Global defensive alliances in graphs. Zbl 1031.05096 Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 52 2003 Total version of the domination game. Zbl 1321.05159 Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 49 2015 Total roman domination in graphs. Zbl 1461.05151 Ahangar, Hossein Abdollahzadeh; Henning, Michael A.; Samodivkin, Vladimir; Yero, Ismael G. 49 2016 Italian domination in trees. Zbl 1358.05218 Henning, Michael A.; Klostermeyer, William F. 48 2017 A note on power domination in grid graphs. Zbl 1090.05054 Dorfling, Michael; Henning, Michael A. 44 2006 Paired-domination in claw-free cubic graphs. Zbl 1054.05074 Favaron, Odile; Henning, Michael A. 43 2004 A characterization of Roman trees. Zbl 1030.05093 Henning, Michael A. 43 2002 Inequalities relating domination parameters in cubic graphs. Zbl 0858.05058 Henning, Michael A.; Slater, Peter J. 41 1996 \(k\)-tuple total domination in graphs. Zbl 1210.05097 Henning, Michael A.; Kazemi, Adel P. 40 2010 Minus domination in graphs. Zbl 0928.05046 Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; McRae, Alice 37 1999 Transversals and domination in uniform hypergraphs. Zbl 1284.05224 Bujtás, Csilla; Henning, Michael A.; Tuza, Zsolt 37 2012 Semitotal domination in graphs. Zbl 1300.05220 Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 35 2014 Graphs with large paired-domination number. Zbl 1108.05069 Henning, Michael A. 35 2007 Domination game: a proof of the 3/5-conjecture for graphs with minimum degree at least two. Zbl 1329.05210 Henning, Michael A.; Kinnersley, William B. 34 2016 Signed total domination in graphs. Zbl 1036.05035 Henning, Michael A. 33 2004 The complementary product of two graphs. Zbl 1155.05051 Haynes, Teresa W.; Henning, Michael A.; Slater, Peter J.; van der Merwe, Lucas C. 33 2007 Locating-total domination in claw-free cubic graphs. Zbl 1252.05162 Henning, Michael A.; Löwenstein, Christian 30 2012 Tight lower bounds on the size of a maximum matching in a regular graph. Zbl 1143.05065 Henning, Michael A.; Yeo, Anders 30 2007 Defending the Roman Empire from multiple attacks. Zbl 1022.05055 Henning, Michael A. 28 2003 Structures of domination in graphs. Zbl 1470.05007 28 2021 The 4/5 upper bound on the game total domination number. Zbl 1399.05165 Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 27 2017 Paired domination in graphs: a survey and recent results. Zbl 1300.05216 Desormeaux, Wyatt J.; Henning, Michael A. 27 2014 Domination in planar graphs with small diameter. Zbl 0997.05072 Goddard, Wayne; Henning, Michael A. 27 2002 The diameter of total domination vertex critical graphs. Zbl 1055.05113 Goddard, Wayne; Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C. 27 2004 Semitotal domination in claw-free cubic graphs. Zbl 1354.05107 Henning, Michael A.; Marcon, Alister J. 27 2016 Transversal game on hypergraphs and the \(\frac{3}{4}\)-conjecture on the total domination game. Zbl 1345.05061 Bujtás, Csilla; Henning, Michael A.; Tuza, Zsolt 26 2016 Construction of trees and graphs with equal domination parameters. Zbl 1104.05053 Dorfling, Michael; Goddard, Wayne; Henning, Michael A.; Mynhardt, C. M. 26 2006 Paired-domination in generalized claw-free graphs. Zbl 1125.05072 Dorbec, Paul; Gravier, Sylvain; Henning, Michael A. 26 2007 On the irregularity of bipartite graphs. Zbl 1126.05060 Henning, Michael A.; Rautenbach, Dieter 25 2007 Restrained domination in trees. Zbl 0947.05057 Domke, Gayla S.; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R. 24 2000 Total domination in graphs with minimum degree three. Zbl 0945.05047 Favaron, Odile; Henning, Michael A.; Mynhart, Christina M.; Puech, Joël 24 2000 Domination in regular graphs. Zbl 0881.05101 Henning, M. A. 24 1996 The algorithmic complexity of minus domination in graphs. Zbl 0848.05041 Dunbar, Jean; Goddard, Wayne; Hedetniemi, Stephen; McRae, Alice; Henning, Michael A. 24 1996 Total dominating sequences in graphs. Zbl 1333.05214 Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F. 24 2016 On the independent domination number of regular graphs. Zbl 1256.05169 Goddard, Wayne; Henning, Michael A.; Lyle, Jeremy; Southey, Justin 24 2012 Majority domination in graphs. Zbl 0820.05037 Broere, Izak; Hattingh, Johannes H.; Henning, Michael A.; McRae, Alice A. 23 1995 On matching and semitotal domination in graphs. Zbl 1284.05196 Henning, Michael A.; Marcon, Alister J. 23 2014 Bipartite Ramsey theory. Zbl 0908.05064 Hattingh, Johannes H.; Henning, Michael A. 23 1998 On double domination in graphs. Zbl 1073.05049 Harant, Jochen; Henning, Michael A. 23 2005 Fair domination in graphs. Zbl 1251.05121 Caro, Yair; Hansberg, Adriana; Henning, Michael 23 2012 Bounds on distance domination parameters. Zbl 0766.05040 Henning, M. A.; Oellermann, Ortrud R.; Swart, Henda C. 23 1991 The locating-chromatic number of a graph. Zbl 1009.05056 Chartrand, Gary; Erwin, David; Henning, Michael A.; Slater, Peter J.; Zhang, Ping 22 2002 Restrained domination in graphs with minimum degree two. Zbl 0971.05087 Domke, Gayla S.; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R. 22 2000 Algorithmic aspects of semitotal domination in graphs. Zbl 1418.68169 Henning, Michael A.; Pandey, Arti 22 2019 Linear hypergraphs with large transversal number and maximum degree two. Zbl 1284.05188 Dorfling, Michael; Henning, Michael A. 22 2014 Locating-total domination in graphs. Zbl 1246.05119 Henning, Michael A.; Rad, Nader Jafari 22 2012 Vertex covers and secure domination in graphs. Zbl 1154.05048 Burger, Alewyn P.; Henning, Michael A.; van Vuuren, Jan H. 22 2008 Perfect Roman domination in trees. Zbl 1377.05141 Henning, Michael A.; Klostermeyer, William F.; MacGillivray, Gary 21 2018 Vertices contained in all or in no minimum semitotal dominating set of a tree. Zbl 1329.05232 Henning, Michael A.; Marcon, Alister J. 21 2016 Game total domination for cycles and paths. Zbl 1336.05101 Dorbec, Paul; Henning, Michael A. 21 2016 Strong transversals in hypergraphs and double total domination in graphs. Zbl 1221.05254 Henning, Michael A.; Yeo, Anders 21 2010 The algorithmic complexity of signed domination in graphs. Zbl 0835.68089 Hattingh, Johannes H.; Henning, Michael A.; Slater, Peter J. 20 1995 Independent sets and matchings in subcubic graphs. Zbl 1244.05177 Henning, Michael A.; Löwenstein, Christian; Rautenbach, Dieter 20 2012 Remarks about disjoint dominating sets. Zbl 1189.05130 Henning, Michael A.; Löwenstein, Christian; Rautenbach, Dieter 20 2009 Signed Roman \(k\)-domination in graphs. Zbl 1331.05170 Henning, Michael A.; Volkmann, Lutz 20 2016 Hypergraphs with large transversal number. Zbl 1262.05112 Henning, Michael A.; Yeo, Anders 20 2013 Locating-dominating sets in twin-free graphs. Zbl 1329.05231 Foucaud, Florent; Henning, Michael A.; Löwenstein, Christian; Sasse, Thomas 19 2016 Distance domaintion in graphs. Zbl 0891.05045 Henning, Michael A. 19 1998 Total domination subdivision numbers of graphs. Zbl 1065.05070 Haynes, Teresa W.; Henning, Michael A.; Hopkins, Lora S. 19 2004 On the total domination number of Cartesian products of graphs. Zbl 1062.05109 Henning, Michael A.; Rall, Douglas F. 19 2005 Total domination in 2-connected graphs and in graphs with no induced 6-cycles. Zbl 1189.05131 Henning, Michael A.; Yeo, Anders 19 2009 Domination and total domination in complementary prisms. Zbl 1197.05105 Haynes, Teresa W.; Henning, Michael A.; van der Merwe, Lucas C. 19 2009 Progress towards the total domination game \(\frac{3}{4}\)-conjecture. Zbl 1339.05255 Henning, Michael A.; Rall, Douglas F. 18 2016 Domination game: extremal families for the 3/5-conjecture for forests. Zbl 1359.05082 Henning, Michael A.; Löwenstein, Christian 18 2017 Distinguishing-transversal in hypergraphs and identifying open codes in cubic graphs. Zbl 1298.05236 Henning, Michael A.; Yeo, Anders 18 2014 Minus domination in regular graphs. Zbl 0843.05059 Dunbar, Jean; Hedetniemi, Stephen; Henning, Michael A.; McRae, Alice A. 18 1996 Vertex disjoint cycles of different length in digraphs. Zbl 1248.05079 Henning, Michael A.; Yeo, Anders 18 2012 Open packing in graphs. Zbl 0922.05040 Henning, Michael A.; Slater, Peter J. 18 1999 Vertices contained in all or in no minimum paired-dominating set of a tree. Zbl 1122.05071 Henning, Michael A.; Plummer, Michael D. 18 2005 Transversals and matchings in 3-uniform hypergraphs. Zbl 1255.05126 Henning, Michael A.; Yeo, Anders 18 2013 Graphs with large restrained domination number. Zbl 0932.05070 Henning, Michael A. 17 1999 Metric-locating-dominating sets in graphs. Zbl 1073.05051 Henning, Michael A.; Oellermann, Ortrud R. 17 2004 A characterization of trees with equal total domination and paired-domination numbers. Zbl 1054.05081 Shan, Erfang; Kang, Liying; Henning, Michael A. 17 2004 Generalized power domination in regular graphs. Zbl 1290.05117 Dorbec, Paul; Henning, Michael A.; Löwenstein, Christian; Montassier, Mickael; Raspaud, André 17 2013 Hypergraphs with large transversal number and with edge sizes at least four. Zbl 1242.05192 Henning, Michael A.; Löwenstein, Christian 17 2012 \(k\)-tuple total domination in cross products of graphs. Zbl 1261.90073 Henning, Michael A.; Kazemi, Adel P. 17 2012 Perfect Italian domination in trees. Zbl 1409.05148 Haynes, Teresa W.; Henning, Michael A. 16 2019 Trees with equal total domination and game total domination numbers. Zbl 1365.05199 Henning, Michael A.; Rall, Douglas F. 16 2017 The disjunctive domination number of a graph. Zbl 1404.05150 Goddard, Wayne; Henning, Michael A.; McPillan, Charles A. 16 2014 Extremal results on defective colorings of graphs. Zbl 0794.05029 Frick, Marietjie; Henning, Michael A. 16 1994 Independent and double domination in trees. Zbl 1110.05074 Blidia, Mostafa; Chellali, Mustapha; Haynes, Teresa W.; Henning, Michael A. 16 2006 Directed domination in oriented graphs. Zbl 1242.05198 Caro, Yair; Henning, Michael A. 16 2012 Characterizations of trees with equal domination parameters. Zbl 0947.05065 Hattingh, Johannes H.; Henning, Michael A. 15 2000 On the total forcing number of a graph. Zbl 1406.05072 Davila, Randy; Henning, Michael A. 15 2019 Bounds on the connected domination number of a graph. Zbl 1287.05100 Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. 15 2013 On equality in an upper bound for the restrained and total domination numbers of a graph. Zbl 1138.05049 Dankelmann, Peter; Day, David; Hattingh, Johannes H.; Henning, Michael A.; Markus, Lisa R.; Swart, Henda C. 15 2007 Paired-domination of Cartesian products of graphs. Zbl 1161.05053 Brešar, Boštjan; Henning, Michael A.; Rall, Douglas F. 15 2007 Domination in graphs: core concepts. Zbl 1526.05002 Haynes, Teresa; Hedetniemi, Stephen; Henning, Michael A. 12 2023 The Tuza-Vestergaard theorem. Zbl 1517.05175 Henning, Michael A.; Löwenstein, Christian; Yeo, Anders 2 2023 Unique minimum semipaired dominating sets in trees. Zbl 1504.05216 Haynes, Teresa W.; Henning, Michael A. 1 2023 Local metric dimension for graphs with small clique numbers. Zbl 1482.05076 Abrishami, Gholamreza; Henning, Michael A.; Tavakoli, Mostafa 3 2022 Independent domination in subcubic graphs. Zbl 1482.05247 Akbari, A.; Akbari, S.; Doosthosseini, A.; Hadizadeh, Z.; Henning, Michael A.; Naraghi, A. 2 2022 An improved upper bound on the independent domination number in cubic graphs of girth at least six. Zbl 1484.05148 Abrishami, Gholamreza; Henning, Michael A. 2 2022 Transversals in 6-uniform hypergraphs and total domination in graphs with minimum degree six. Zbl 1495.05192 Henning, Michael A.; Yeo, Anders 2 2022 Bounds on the paired domination number of graphs with minimum degree at least three. Zbl 1510.05233 Henning, Michael A.; Pilśniak, Monika; Tumidajewicz, Elżbieta 2 2022 Domination versus total domination in claw-free cubic graphs. Zbl 1482.05171 Babikir, Ammar; Henning, Michael A. 1 2022 Triangles and (total) domination in subcubic graphs. Zbl 1484.05151 Babikir, Ammar; Henning, Michael A. 1 2022 A classification of cactus graphs according to their domination number. Zbl 1485.05136 Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari 1 2022 The semitotal domination problem in block graphs. Zbl 1484.05155 Henning, Michael A.; Pal, Saikat; Pradhan, D. 1 2022 A characterization of graphs with given maximum degree and smallest possible matching number. II. Zbl 1480.05028 Henning, Michael A.; Shozi, Zekhaya B. 1 2022 Bounds on domination parameters in graphs: a brief survey. Zbl 1492.05116 Henning, Michael A. 1 2022 Structures of domination in graphs. Zbl 1470.05007 28 2021 Domination games played on graphs. Zbl 1467.91015 Brešar, Boštjan; Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 7 2021 Perfect Italian domination in cographs. Zbl 1462.05269 Banerjee, S.; Henning, Michael A.; Pradhan, D. 4 2021 A new framework to approach Vizing’s conjecture. Zbl 1459.05231 Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F. 3 2021 Upper bounds on the \(k\)-tuple (Roman) domination number of a graph. Zbl 1459.05239 Henning, Michael A.; Rad, Nader Jafari 3 2021 Zero forcing versus domination in cubic graphs. Zbl 1464.05282 Davila, Randy; Henning, Michael A. 3 2021 Matching and edge-connectivity in graphs with given maximum degree. Zbl 1466.05110 Henning, Michael A.; Yeo, Anders 3 2021 Dominator and total dominator colorings in graphs. Zbl 1484.05154 Henning, Michael A. 3 2021 A new upper bound on the total domination number in graphs with minimum degree six. Zbl 1469.05131 Henning, Michael A.; Yeo, Anders 3 2021 A characterization of graphs with given maximum degree and smallest possible matching number. Zbl 1466.05036 Henning, Michael A.; Shozi, Zekhaya B. 2 2021 Bounding and approximating minimum maximal matchings in regular graphs. Zbl 1458.90537 Baste, Julien; Fürst, Maximilian; Henning, Michael A.; Mohr, Elena; Rautenbach, Dieter 2 2021 Restrained domination in self-complementary graphs. Zbl 1458.05192 Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. 2 2021 Broadcast domination in graphs. Zbl 1479.05239 Henning, Michael A.; MacGillivray, Gary; Yang, Feiran 2 2021 Domination in digraphs. Zbl 1479.05270 Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 2 2021 A characterization of the subcubic graphs achieving equality in the Haxell-Scott lower bound for the matching number. Zbl 1521.05141 Henning, Michael A.; Shozi, Zekhaya B. 2 2021 Total connected domination game. Zbl 1476.05135 Bujtás, Csilla; Henning, Michael A.; Iršič, Vesna; Klavžar, Sandi 1 2021 Connected domination critical graphs with a block having maximum number of cut vertices. Zbl 1510.05232 Henning, Michael A.; Kaemawichanurat, Pawaton 1 2021 Bounds on the semipaired domination number of graphs with minimum degree at least two. Zbl 1464.05288 Haynes, Teresa W.; Henning, Michael A. 1 2021 On the domination number of graphs with minimum degree six. Zbl 1466.05159 Bujtás, Csilla; Henning, Michael A. 1 2021 Fractional domatic, idomatic, and total domatic numbers of a graph. Zbl 1486.05228 Goddard, Wayne; Henning, Michael A. 1 2021 An introduction to game domination in graphs. Zbl 1479.05225 Henning, Michael A. 1 2021 Independent domination subdivision in graphs. Zbl 1475.05130 Babikir, Ammar; Dettlaff, Magda; Henning, Michael A.; Lemańska, Magdalena 1 2021 Topics in domination in graphs. Zbl 1470.05008 53 2020 Paired domination in graphs. Zbl 1479.05259 Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. 10 2020 Total forcing sets and zero forcing sets in trees. Zbl 1439.05082 Davila, Randy; Henning, Michael A. 7 2020 Maker-breaker total domination game. Zbl 1441.05157 Gledel, Valentin; Henning, Michael A.; Iršič, Vesna; Klavžar, Sandi 7 2020 Transversals in linear uniform hypergraphs. Zbl 1454.05003 Henning, Michael A.; Yeo, Anders 7 2020 Graphs with large Italian domination number. Zbl 1451.05174 Haynes, Teresa W.; Henning, Michael A.; Volkmann, Lutz 7 2020 Domination versus independent domination in graphs of small regularity. Zbl 1440.05156 Babikir, Ammar; Henning, Michael A. 6 2020 Algorithmic aspects of upper paired-domination in graphs. Zbl 1436.68242 Henning, Michael A.; Pradhan, D. 6 2020 Algorithmic results on double Roman domination in graphs. Zbl 1434.05105 Banerjee, Sumanta; Henning, Michael A.; Pradhan, D. 6 2020 Zero forcing in claw-free cubic graphs. Zbl 1433.05117 Davila, Randy; Henning, Michael A. 4 2020 Models of domination in graphs. Zbl 1479.05271 Haynes, Teresa W.; Hedetniemi, Stephen T.; Henning, Michael A. 4 2020 Domination versus edge domination. Zbl 1466.05155 Baste, Julien; Fürst, Maximilian; Henning, Michael A.; Mohr, Elena; Rautenbach, Dieter 4 2020 Independent domination, colorings and the fractional idomatic number of a graph. Zbl 1508.05125 Goddard, Wayne; Henning, Michael A. 3 2020 2-limited broadcast domination in subcubic graphs. Zbl 1447.05155 Henning, Michael A.; MacGillivray, Gary; Yang, Frank 3 2020 Traceability of connected domination critical graphs. Zbl 1462.05279 Henning, Michael A.; Ananchuen, Nawarat; Kaemawichanurat, Pawaton 2 2020 Algorithm and hardness results on hop domination in graphs. Zbl 1481.05116 Henning, Michael A.; Pal, Saikat; Pradhan, D. 1 2020 Complexity and algorithms for semipaired domination in graphs. Zbl 1503.68223 Henning, Michael A.; Pandey, Arti; Tripathi, Vikash 1 2020 Equating \(\kappa\) maximum degrees in graphs without short cycles. Zbl 1439.05051 Fürst, Maximilian; Gentner, Michael; Jäger, Simon; Rautenbach, Dieter; Henning, Michael A. 1 2020 Trees with unique minimum semitotal dominating sets. Zbl 1439.05179 Haynes, Teresa W.; Henning, Michael A. 1 2020 Bounds on upper transversals in hypergraphs. Zbl 1434.05111 Henning, Michael A.; Yeo, Anders 1 2020 Matching, path covers, and total forcing sets. Zbl 1432.05039 Davila, Randy; Henning, Michael A. 1 2020 A classification of cactus graphs according to their total domination number. Zbl 1434.05110 Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari 1 2020 Total domination cover rubbling. Zbl 1442.05147 Beeler, Robert A.; Haynes, Teresa W.; Henning, Michael A.; Keaton, Rodney 1 2020 On the L-Grundy domination number of a graph. Zbl 1499.05448 Brešar, Boštjan; Gologranc, Tanja; Henning, Michael A.; Kos, Tim 1 2020 Algorithmic aspects of semitotal domination in graphs. Zbl 1418.68169 Henning, Michael A.; Pandey, Arti 22 2019 Perfect Italian domination in trees. Zbl 1409.05148 Haynes, Teresa W.; Henning, Michael A. 16 2019 On the total forcing number of a graph. Zbl 1406.05072 Davila, Randy; Henning, Michael A. 15 2019 Semipaired domination in maximal outerplanar graphs. Zbl 1435.05155 Henning, Michael A.; Kaemawichanurat, Pawaton 8 2019 Graphs with large semipaired domination number. Zbl 1411.05204 Haynes, Teresa W.; Henning, Michael A. 7 2019 Uniquely restricted matchings in subcubic graphs. Zbl 1411.05217 Fürst, Maximilian; Henning, Michael A.; Rautenbach, Dieter 7 2019 A new lower bound on the domination number of a graph. Zbl 1440.05160 Hajian, Majid; Henning, Michael A.; Rad, Nader Jafari 7 2019 Total forcing versus total domination in cubic graphs. Zbl 1428.05230 Davila, Randy; Henning, Michael A. 7 2019 Paired-domination game played in graphs. Zbl 1438.05192 Haynes, Teresa W.; Henning, Michael. A. 4 2019 Cutting lemma and union lemma for the domination game. Zbl 1405.05114 Dorbec, Paul; Henning, Michael A.; Klavžar, Sandi; Košmrlj, Gašper 3 2019 A characterization of double Roman trees. Zbl 1407.05179 Henning, Michael A.; Rad, Nader Jafari 3 2019 Upper transversals in hypergraphs. Zbl 1414.05295 Henning, Michael A.; Yeo, Anders 3 2019 Independent domination in bipartite cubic graphs. Zbl 1416.05205 Brause, Christoph; Henning, Michael A. 3 2019 A characterization of graphs with disjoint total dominating sets. Zbl 1416.05210 Henning, Michael A.; Peterin, Iztok 3 2019 Complexity and algorithms for semipaired domination in graphs. Zbl 1503.68222 Henning, Michael A.; Pandey, Arti; Tripathi, Vikash 3 2019 A note on improved upper bounds on the transversal number of hypergraphs. Zbl 1404.05137 Henning, Michael A.; Rad, Nader Jafari 2 2019 On independent domination in planar cubic graphs. Zbl 1415.05127 Abrishami, Gholamreza; Henning, Michael A.; Rahbarnia, Freydoon 2 2019 From domination to coloring. Stephen Hedetniemi’s graph theory and beyond. Zbl 1470.05001 Chartrand, Gary; Haynes, Teresa W.; Henning, Michael A.; Zhang, Ping 2 2019 Acyclic total dominating sets in cubic graphs. Zbl 1499.05462 Goddard, Wayne; Henning, Michael A. 2 2019 On the maximum number of minimum total dominating sets in forests. Zbl 1411.05205 Henning, Michael A.; Mohr, Elena; Rautenbach, Dieter 1 2019 Perfect Roman domination in trees. Zbl 1377.05141 Henning, Michael A.; Klostermeyer, William F.; MacGillivray, Gary 21 2018 The forcing number of graphs with given girth. Zbl 1385.05060 Davila, Randy; Henning, Michael A. 13 2018 Game total domination critical graphs. Zbl 1398.05135 Henning, Michael A.; Klavžar, Sandi; Rall, Douglas F. 13 2018 Tight lower bounds on the matching number in a graph with given maximum degree. Zbl 1401.05235 Henning, Michael A.; Yeo, Anders 13 2018 Thoroughly dispersed colorings. Zbl 1394.05088 Goddard, Wayne; Henning, Michael A. 12 2018 Perfect graphs involving semitotal and semipaired domination. Zbl 1392.05088 Haynes, Teresa W.; Henning, Michael A. 12 2018 Bounds on the connected forcing number of a graph. Zbl 1402.05163 Davila, Randy; Henning, Michael A.; Magnant, Colton; Pepper, Ryan 12 2018 Semipaired domination in graphs. Zbl 1390.05166 Haynes, Teresa W.; Henning, Michael A. 11 2018 Semipaired domination in claw-free cubic graphs. Zbl 1395.05127 Henning, Michael A.; Kaemawichanurat, Pawaton 11 2018 Bounding the order of a graph using its diameter and metric dimension: a study through tree decompositions and VC dimension. Zbl 1384.05077 Beaudou, Laurent; Dankelmann, Peter; Foucaud, Florent; Henning, Michael A.; Mary, Arnaud; Parreau, Aline 9 2018 Total forcing and zero forcing in claw-free cubic graphs. Zbl 1402.05063 Davila, Randy; Henning, Michael A. 9 2018 Semitotal domination in graphs: partition and algorithmic results. Zbl 1396.05085 Henning, Michael A.; Marcon, Alister J. 8 2018 Total domination versus domination in cubic graphs. Zbl 1382.05052 Cyman, Joanna; Dettlaff, Magda; Henning, Michael A.; Lemańska, Magdalena; Raczek, Joanna 7 2018 Independent domination in subcubic graphs of girth at least six. Zbl 1372.05154 Abrishami, Gholamreza; Henning, Michael A. 7 2018 Infinite families of circular and Möbius ladders that are total domination game critical. Zbl 1406.05069 Henning, Michael A.; Klavžar, Sandi 7 2018 Hereditary equality of domination and exponential domination. Zbl 1377.05140 Henning, Michael A.; Jäger, Simon; Rautenbach, Dieter 6 2018 Total domination stability in graphs. Zbl 1377.05142 Henning, Michael A.; Krzywkowski, Marcin 6 2018 A note on domination and total domination in prisms. Zbl 1434.05108 Goddard, Wayne; Henning, Michael A. 5 2018 The competition-independence game in trees. Zbl 1390.91072 Goddard, Wayne; Henning, Michael A. 5 2018 Smallest domination number and largest independence number of graphs and forests with given degree sequence. Zbl 1391.05085 Gentner, Michael; Henning, Michael A.; Rautenbach, Dieter 5 2018 ...and 372 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,147 Authors 311 Henning, Michael Anthony 87 Sheikholeslami, Seyed Mahmoud 76 Jafari Rad, Nader 74 Volkmann, Lutz 54 Haynes, Teresa W. 49 Klavžar, Sandi 49 Rautenbach, Dieter 43 Yeo, Anders 42 Chellali, Mustapha 42 Rodríguez-Velazquez, Juan Alberto 37 Shan, Erfang 35 Bujtás, Csilla 35 Kang, Liying 35 Yero, Ismael Gonzalez 34 Brešar, Boštjan 33 Mojdeh, Doost Ali 29 Cabrera Martínez, Abel 25 Ahangar, Hossein Abdollahzadeh 25 Hattingh, Johannes H. 25 Löwenstein, Christian 24 Goddard, Wayne Dean 24 Shao, Zehui 23 Amjadi, Jafar 23 Hedetniemi, Stephen Travis 22 Rall, Douglas F. 21 Foucaud, Florent 21 Sigarreta Almira, José María 20 Joubert, Ernst J. 20 Pandey, Arti 20 Pradhan, Dinabandhu 18 Furuya, Michitaka 18 Tuza, Zsolt 17 Bermudo, Sergio 17 Favaron, Odile 16 Davila, Randy Ryan 16 Desormeaux, Wyatt J. 16 Hao, Guoliang 16 Karami, Hossein 16 Khoeilar, Rana 16 Lemańska, Magdalena 16 Panda, Bhawani Sankar 16 Samadi, Babak 16 Wu, Baoyindureng 15 Chen, Xuegang 15 Dorbec, Paul 15 Raczek, Joanna 14 Caro, Yair 14 Fernau, Henning 14 Lu, Changhong 14 Southey, Justin 13 Chang, Gerard Jennhwa 13 Iršič, Vesna 13 Mora, Mercè 13 Mynhardt, Christina Magdalena 13 Peterin, Iztok 12 Dettlaff, Magda 12 Ferrero, Daniela 12 Kazemi, Adel P. 12 Klostermeyer, William F. 12 Li, Zepeng 12 Nazari-Moghaddam, Sakineh 12 Pushpam, P. Roushini Leely 12 Sohn, Moo Young 12 Xu, Junming 11 Hernando, Carmen 11 Kaemawichanurat, Pawaton 11 van der Merwe, Lucas C. 10 Chartrand, Gary Theodore 10 Dantas, Simone 10 Dehgardi, Nasrin 10 Hansberg, Adriana 10 Hu, Futao 10 Kuziak, Dorota 10 McRae, Alice A. 10 Poureidi, Abolfazl 10 Samodivkin, Vladimir D. 9 Dravec, Tanja 9 Hajian, Majid 9 Oellermann, Ortrud R. 9 Parreau, Aline 9 Pelayo, Ignacio M. 9 Soroudi, Marzieh 9 Wang, Yue-Li 9 Zhao, Yancai 8 Atapour, Maryam 8 Bazgan, Cristina 8 Brimkov, Boris 8 Dankelmann, Peter 8 Hogben, Leslie 8 Košmrlj, Gašper 8 Milanič, Martin 8 Pepper, Ryan D. 8 Puertas, María Luz 8 Rahbani, Hadi 8 Swart, Henda C. 8 Topp, Jerzy 8 Wu, Pu 8 Zhang, Ping 7 Asgharsharghi, Leila 7 Aytaç, Aysun Ozan ...and 2,047 more Authors all top 5 Cited in 205 Serials 343 Discrete Applied Mathematics 248 Discrete Mathematics 121 Graphs and Combinatorics 116 Journal of Combinatorial Optimization 98 Discrete Mathematics, Algorithms and Applications 89 Discussiones Mathematicae. Graph Theory 64 Theoretical Computer Science 44 Communications in Combinatorics and Optimization 43 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 37 Journal of Graph Theory 34 Applied Mathematics and Computation 33 AKCE International Journal of Graphs and Combinatorics 30 The Electronic Journal of Combinatorics 29 Information Processing Letters 28 Quaestiones Mathematicae 26 Advances and Applications in Discrete Mathematics 23 The Australasian Journal of Combinatorics 22 Electronic Journal of Graph Theory and Applications 20 Czechoslovak Mathematical Journal 19 European Journal of Combinatorics 17 Journal of Discrete Mathematical Sciences & Cryptography 16 Applied Mathematics Letters 16 Transactions on Combinatorics 15 Acta Mathematica Sinica. English Series 15 Discrete Optimization 14 Ars Mathematica Contemporanea 13 Asian-European Journal of Mathematics 12 Algorithmica 12 SIAM Journal on Discrete Mathematics 11 Opuscula Mathematica 10 Filomat 10 Central European Journal of Mathematics 9 Bulletin of the Iranian Mathematical Society 9 Aequationes Mathematicae 9 International Journal of Computer Mathematics 9 Linear Algebra and its Applications 9 AIMS Mathematics 8 Discrete Mathematics and Theoretical Computer Science. DMTCS 7 International Journal of Foundations of Computer Science 7 Applicable Analysis and Discrete Mathematics 7 Acta Universitatis Sapientiae. Informatica 6 Computers & Mathematics with Applications 6 Journal of Combinatorial Theory. Series B 6 RAIRO. Operations Research 6 South East Asian Journal of Mathematics and Mathematical Sciences 6 Proyecciones 6 DML. Discrete Mathematics Letters 5 Journal of Computer and System Sciences 5 Journal of Shanghai University 5 Journal of Discrete Algorithms 5 Mediterranean Journal of Mathematics 5 RAIRO. Theoretical Informatics and Applications 5 Journal of Mathematics 4 Computers & Operations Research 4 Numerical Methods for Partial Differential Equations 4 European Journal of Operational Research 4 Computational and Applied Mathematics 4 Theory of Computing Systems 4 Annals of Combinatorics 4 Fundamenta Informaticae 4 Journal of Applied Mathematics and Computing 4 Contributions to Discrete Mathematics 4 International Journal of Combinatorics 4 Symmetry 4 Open Mathematics 4 The Art of Discrete and Applied Mathematics 3 Linear and Multilinear Algebra 3 Information Sciences 3 Kyungpook Mathematical Journal 3 Networks 3 Operations Research Letters 3 Facta Universitatis. Series Mathematics and Informatics 3 Annals of Operations Research 3 Journal of Global Optimization 3 Turkish Journal of Mathematics 3 Iranian Journal of Science and Technology. Transaction A: Science 3 Journal of Algebra and its Applications 3 Mathematics in Computer Science 3 Diskretnyĭ Analiz i Issledovanie Operatsiĭ 3 Iranian Journal of Mathematical Sciences and Informatics 3 Cogent Mathematics 3 Ural Mathematical Journal 3 Journal of Algebraic Systems 2 Bulletin of the Australian Mathematical Society 2 Mathematical Notes 2 Periodica Mathematica Hungarica 2 Journal of Combinatorial Theory. Series A 2 Mathematica Slovaca 2 Results in Mathematics 2 Systems & Control Letters 2 Bulletin of the Korean Mathematical Society 2 Combinatorica 2 Journal of Symbolic Computation 2 Journal of Complexity 2 Mathematica Bohemica 2 Designs, Codes and Cryptography 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Expositiones Mathematicae 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Computer Science Journal of Moldova ...and 105 more Serials all top 5 Cited in 28 Fields 2,009 Combinatorics (05-XX) 304 Computer science (68-XX) 117 Operations research, mathematical programming (90-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Information and communication theory, circuits (94-XX) 15 Linear and multilinear algebra; matrix theory (15-XX) 15 Biology and other natural sciences (92-XX) 14 Commutative algebra (13-XX) 14 Convex and discrete geometry (52-XX) 8 Geometry (51-XX) 6 Group theory and generalizations (20-XX) 5 Numerical analysis (65-XX) 4 Manifolds and cell complexes (57-XX) 3 History and biography (01-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Number theory (11-XX) 3 Partial differential equations (35-XX) 3 Statistics (62-XX) 3 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 General algebraic systems (08-XX) 1 Category theory; homological algebra (18-XX) 1 Functional analysis (46-XX) 1 General topology (54-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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