Discussiones Mathematicae. Graph Theory Short Title: Discuss. Math., Graph Theory Publisher: De Gruyter (Sciendo), Warsaw; University of Zielona Góra Press, Zielona Góra ISSN: 1234-3099; 2083-5892/e Online: https://content.sciendo.com/view/journals/dmgt/dmgt-overview.xmlhttp://www.discuss.wmie.uz.zgora.pl/gt/index.phphttps://bibliotekanauki.pl/journals/1099/issues Predecessor: Discussiones Mathematicae Comments: Indexed cover-to-cover; This journal is available open access. Documents Indexed: 1,315 Publications (since 1995) References Indexed: 604 Publications with 9,500 References. all top 5 Latest Issues 42, No. 2 (2022) 42, No. 1 (2022) 41, No. 4 (2021) 41, No. 3 (2021) 41, No. 2 (2021) 41, No. 1 (2021) 40, No. 4 (2020) 40, No. 3 (2020) 40, No. 2 (2020) 40, No. 1 (2020) 39, No. 4 (2019) 39, No. 3 (2019) 39, No. 2 (2019) 39, No. 1 (2019) 38, No. 4 (2018) 38, No. 3 (2018) 38, No. 2 (2018) 38, No. 1 (2018) 37, No. 4 (2017) 37, No. 3 (2017) 37, No. 2 (2017) 37, No. 1 (2017) 36, No. 4 (2016) 36, No. 3 (2016) 36, No. 2 (2016) 36, No. 1 (2016) 35, No. 4 (2015) 35, No. 3 (2015) 35, No. 2 (2015) 35, No. 1 (2015) 34, No. 4 (2014) 34, No. 3 (2014) 34, No. 2 (2014) 34, No. 1 (2014) 33, No. 4 (2013) 33, No. 3 (2013) 33, No. 2 (2013) 33, No. 1 (2013) 32, No. 4 (2012) 32, No. 3 (2012) 32, No. 2 (2012) 32, No. 1 (2012) 31, No. 4 (2011) 31, No. 3 (2011) 31, No. 2 (2011) 31, No. 1 (2011) 30, No. 4 (2010) 30, No. 3 (2010) 30, No. 2 (2010) 30, No. 1 (2010) 29, No. 3 (2009) 29, No. 2 (2009) 29, No. 1 (2009) 28, No. 3 (2008) 28, No. 2 (2008) 28, No. 1 (2008) 27, No. 3 (2007) 27, No. 2 (2007) 27, No. 1 (2007) 26, No. 3 (2006) 26, No. 2 (2006) 26, No. 1 (2006) 25, No. 3 (2005) 25, No. 1-2 (2005) 24, No. 3 (2004) 24, No. 2 (2004) 24, No. 1 (2004) 23, No. 2 (2003) 23, No. 1 (2003) 22, No. 2 (2002) 22, No. 1 (2002) 21, No. 2 (2001) 21, No. 1 (2001) 20, No. 2 (2000) 20, No. 1 (2000) 19, No. 2 (1999) 19, No. 1 (1999) 18, No. 2 (1998) 18, No. 1 (1998) 17, No. 2 (1997) 17, No. 1 (1997) 16, No. 2 (1996) 16, No. 1 (1996) 15, No. 2 (1995) 15, No. 1 (1995) all top 5 Authors 35 Galeana-Sánchez, Hortensia 27 Mihók, Peter 27 Volkmann, Lutz 26 Henning, Michael Anthony 26 Jendrol’, Stanislav 26 Schiermeyer, Ingo 22 Zhang, Ping 19 Li, Xueliang 18 Skupień, Zdzisław 17 Broere, Izak 17 Tuza, Zsolt 16 Chellali, Mustapha 16 Haynes, Teresa W. 15 Harant, Jochen 15 Klavžar, Sandi 14 Borodin, Oleg Veniaminovich 14 Jafari Rad, Nader 14 Sheikholeslami, Seyed Mahmoud 14 Woźniak, Mariusz 13 Borowiecki, Mieczysław 13 Chartrand, Gary Theodore 13 Jacobson, Michael Scott 13 MacKee, Terry Allan 13 Mynhardt, Christina Magdalena 13 Sidorowicz, Elżbieta 12 Drgas-Burchardt, Ewa 12 Gould, Ronald J. 12 Ivanova, Anna Olegovna 11 Brešar, Boštjan 11 Czap, Július 11 Faudree, Ralph Jasper jun. 11 Semanišin, Gabriel 10 Ivančo, Jaroslav 10 Kemnitz, Arnfried 10 Rautenbach, Dieter 9 Broersma, Hajo J. 9 Cichacz, Sylwia 9 Madaras, Tomáš 9 Rall, Douglas F. 9 Soták, Roman 9 Teichert, Hanns-Martin 8 Fabrici, Igor 8 Fan, Yizheng 8 Favaron, Odile 8 Frick, Marietjie 8 Fronček, Dalibor 8 Hammack, Richard H. 8 Hernández-Cruz, César 8 Klešč, Marián 8 Klostermeyer, William F. 8 Lemańska, Magdalena 8 Sonntag, Martin 7 Borowiecki, Piotr 7 Bucko, Jozef 7 Goddard, Wayne Dean 7 Horňák, Mirko 7 Imrich, Wilfried 7 Pilśniak, Monika 7 Raczek, Joanna 7 Rojas-Monroy, Rocío 7 Santhakumaran, Anandhapalpu P. 7 Wojda, Adam Paweł 7 Yero, Ismael Gonzalez 6 Bača, Martin 6 Bujtás, Csilla 6 Fouquet, Jean-Luc 6 Hedetniemi, Stephen Travis 6 Kheddouci, Hamamache 6 Magnant, Colton 6 Mao, Yaping 6 Marangio, Massimiliano 6 Montellano-Ballesteros, Juan José 6 Neumann-Lara, Víctor 6 Rodríguez-Velazquez, Juan Alberto 6 Sopena, Éric 6 Vanherpe, Jean-Marie 6 Vetrík, Tomáš 6 West, Douglas Brent 5 Bielak, Halina 5 Blidia, Mostafa 5 Caro, Yair 5 Flandrin, Evelyne 5 Hajian, Majid 5 Hartnell, Bert L. 5 Huang, Yuanqiu 5 Jaradat, Mohammed M. M. 5 Kathiresan, Kumarappan 5 Kostochka, Aleksandr Vasil’evich 5 MacGillivray, Gary 5 Marczyk, Antoni 5 Meszka, Mariusz 5 Miller, Mirka 5 Mojdeh, Doost Ali 5 Mulder, Henry Martyn 5 Muntaner-Batle, Francesc Antoni 5 Paulraja, P. 5 Peterin, Iztok 5 Przybyło, Jakub 5 Ryjáček, Zdeněk 5 Shan, Erfang ...and 1,353 more Authors all top 5 Fields 1,313 Combinatorics (05-XX) 45 Computer science (68-XX) 23 Linear and multilinear algebra; matrix theory (15-XX) 15 Convex and discrete geometry (52-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 General and overarching topics; collections (00-XX) 12 Information and communication theory, circuits (94-XX) 10 Biology and other natural sciences (92-XX) 8 Operations research, mathematical programming (90-XX) 7 Number theory (11-XX) 6 Group theory and generalizations (20-XX) 5 Order, lattices, ordered algebraic structures (06-XX) 5 General algebraic systems (08-XX) 4 Probability theory and stochastic processes (60-XX) 3 History and biography (01-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Numerical analysis (65-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Manifolds and cell complexes (57-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 884 Publications have been cited 3,975 times in 2,984 Documents Cited by ▼ Year ▼ Graph colorings with local constraints—a survey. Zbl 0923.05027Tuza, Zsolt 110 1997 On light subgraphs in plane graphs of minimum degree five. Zbl 0877.05050Jendrol’, Stanislav; Madaras, Tomáš 52 1996 Total edge irregularity strength of trees. Zbl 1135.05066Ivančo, Jaroslav; Jendrol, Stanislav 41 2006 A survey of hereditary properties of graphs. Zbl 0902.05026Borowiecki, Mieczysław; Broere, Izak; Frick, Marietjie; Mihók, Peter; Semanišin, Gabriel 39 1997 A characterization of Roman trees. Zbl 1030.05093Henning, Michael A. 38 2002 Associative graph products and their independence, domination and coloring numbers. Zbl 0865.05071Nowakowski, Richard J.; Rall, Douglas F. 34 1996 Offensive alliances in graphs. Zbl 1064.05112Favaron, Odile; Fricke, Gerd; Goddard, Wayne; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Kristiansen, Petter; Laskar, Renu C.; Skaggs, R. Duane 34 2004 On \(k\)-factor-critical graphs. Zbl 0865.05061Favaron, Odile 33 1996 Short cycles of low weight in normal plane maps with minimum degree 5. Zbl 0927.05069Borodin, Oleg V.; Woodall, Douglas R. 30 1998 On dominating the Cartesian product of a graph and \(K_2\). Zbl 1063.05107Hartnell, Bert L.; Rall, Douglas F. 30 2004 Maximizing spectral radii of uniform hypergraphs with few edges. Zbl 1350.05111Fan, Yi-Zheng; Tan, Ying-Ying; Peng, Xi-Xi; Liu, An-Hong 30 2016 Spanning trees with many or few colors in edge-colored graphs. Zbl 0923.05018Broersma, Hajo; Li, Xueliang 28 1997 On the rainbow vertex-connection. Zbl 1293.05116Li, Xueliang; Shi, Yongtang 26 2013 Graphs with rainbow connection number two. Zbl 1234.05092Kemnitz, Arnfried; Schiermeyer, Ingo 26 2011 Secure domination and secure total domination in graphs. Zbl 1156.05043Klostermeyer, William F.; Mynhardt, Christina M. 24 2008 5-stars of low weight in normal plane maps with minimum degree 5. Zbl 1310.05063Borodin, Oleg V.; Ivanova, Anna O.; Jensen, Tommy R. 24 2014 The Steiner Wiener index of a graph. Zbl 1334.05027Li, Xueliang; Mao, Yaping; Gutman, Ivan 24 2016 \(\gamma\)-graphs of graphs. Zbl 1229.05219Fricke, Gerd H.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Hutson, Kevin R. 23 2011 Minimal vertex degree sum of a 3-path in plane maps. Zbl 0906.05017Borodin, O. V. 22 1997 On a special case of Hadwiger’s conjecture. Zbl 1053.05052Plummer, Michael D.; Stiebitz, Michael; Toft, Bjarne 22 2003 Spectral study of alliances in graphs. Zbl 1133.05072Rodríguez-Velazquez, Juan Alberto; Sigarreta Almira, Jose Maria 21 2007 The leafage of a chordal graph. Zbl 0912.05053Lin, In-Jen; McKee, Terry A.; West, Douglas B. 21 1998 Partial covers of graphs. Zbl 1017.05094Fiala, Jiří; Kratochvíl, Jan 21 2002 On double domination in graphs. Zbl 1073.05049Harant, Jochen; Henning, Michael A. 21 2005 The \(S\)-packing chromatic number of a graph. Zbl 1293.05106Goddard, Wayne; Xu, Honghai 21 2012 Geodetic sets in graphs. Zbl 0958.05044Chartrand, Gary; Harary, Frank; Zhang, Ping 20 2000 Unavoidable set of face types for planar maps. Zbl 0877.05048Horňák, Mirko; Jendrol’, Stanislav 20 1996 The \(k\)-rainbow domatic number of a graph. Zbl 1255.05139Sheikholeslami, Seyyed Mahmoud; Volkmann, Lutz 20 2012 Mean value for the matching and dominating polynomial. Zbl 0958.05098Arocha, Jorge Luis; Llano, Bernardo 19 2000 Coloring some finite sets in \(\mathbb R^n\). Zbl 1296.05066Balogh, József; Kostochka, Alexandr; Raigorodskii, Andrei 19 2013 The forcing geodetic number of a graph. Zbl 0927.05025Chartrand, Gary; Zhang, Ping 18 1999 Total domination subdivision numbers of graphs. Zbl 1065.05070Haynes, Teresa W.; Henning, Michael A.; Hopkins, Lora S. 18 2004 Vertices contained in all or in no minimum semitotal dominating set of a tree. Zbl 1329.05232Henning, Michael A.; Marcon, Alister J. 18 2016 Rainbow connection number of dense graphs. Zbl 1275.05022Li, Xueliang; Liu, Mengmeng; Schiermeyer, Ingo 18 2013 Paired-domination. Zbl 0916.05061Fitzpatrick, S.; Hartnell, B. 17 1998 On locating and differentiating-total domination in trees. Zbl 1173.05034Chellali, Mustapha 17 2008 A note on total colorings of planar graphs without 4-cycles. Zbl 1056.05067Wang, Ping; Wu, Jianliang 17 2004 Lower bound on the domination number of a tree. Zbl 1063.05035Lemańska, Magdalena 17 2004 Two variants of the size Ramsey number. Zbl 1074.05062Kurek, Andrzej; Ruciński, Andrzej 17 2005 Domination game: extremal families for the 3/5-conjecture for forests. Zbl 1359.05082Henning, Michael A.; Löwenstein, Christian 17 2017 The 3-rainbow index of a graph. Zbl 1307.05066Chen, Lily; Li, Xueliang; Yang, Kang; Zhao, Yan 16 2015 Total domination edge critical graphs with maximum diameter. Zbl 1007.05077van der Merwe, Lucas C.; Mynhardt, Cristine M.; Haynes, Theresa W. 16 2001 Precise upper bound for the strong edge chromatic number of sparse planar graphs. Zbl 1301.05118Borodin, Oleg V.; Ivanova, Anna O. 16 2013 Total domination in categorical products of graphs. Zbl 1074.05068Rall, Douglas F. 16 2005 Some progress on the double Roman domination in graphs. Zbl 1401.05224Rad, Nader Jafari; Rahbani, Hadi 16 2019 Domination game critical graphs. Zbl 1327.05256Bujtás, Csilla; Klavžar, Sandi; Košmrlj, Gašper 16 2015 Wiener and vertex PI indices of the strong product of graphs. Zbl 1291.05050Pattabiraman, K.; Paulraja, P. 16 2012 Frequency planning and ramifications of coloring. Zbl 1055.05147Eisenblätter, Andreas; Grötschel, Martin; Koster, Arie M. C. A. 15 2002 Conflict-free connections of graphs. Zbl 1392.05039Czap, Július; Jendroľ, Stanislav; Valiska, Juraj 15 2018 Radio numbers for generalized prism graphs. Zbl 1284.05240Martinez, Paul; Ortiz, Juan; Tomova, Maggy; Wyels, Cindy 15 2011 Inverse problem on the Steiner Wiener index. Zbl 1377.05049Li, Xueliang; Mao, Yaping; Gutman, Ivan 14 2018 Domination subdivision numbers. Zbl 1006.05042Haynes, Teresa W.; Hedetniemi, Sandra M.; Hedetniemi, Stephen T.; Jacobs, David P.; Knisely, James; van der Merwe, Lucas C. 14 2001 Total Roman reinforcement in graphs. Zbl 1415.05128Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. 14 2019 Adjacent vertex distinguishing edge-colorings of planar graphs with girth at least six. Zbl 1229.05100Bu, Yuehua; Lih, Ko-Wei; Wang, Weifan 14 2011 Weak Roman domination in graphs. Zbl 1284.05201Roushini Leely Pushpam, P.; Malini Mai, T. N. M. 14 2011 On \({\mathcal F}\)-independence in graphs. Zbl 1194.05116Göring, Frank; Harant, Jochen; Rautenbach, Dieter; Schiermeyer, Ingo 13 2009 Heavy cycles in weighted graphs. Zbl 1012.05104Bondy, J. Adrian; Broersma, Hajo J.; van den Heuvel, Jan; Veldman, Henk Jan 13 2002 The irregularity of graphs under graph operations. Zbl 1290.05062Abdo, Hosam; Dimitrov, Darko 13 2014 How long can one bluff in the domination game? Zbl 1359.05081Brešar, Boštan; Dorbec, Paul; Klavžar, Sandi; Košmrlj, Gašper 13 2017 On the dominator colorings in trees. Zbl 1293.05256Boumediene Merouane, Houcine; Chellali, Mustapha 13 2012 The edge domination problem. Zbl 0827.05030Hwang, Shiow-Fen; Chang, Gerard J. 12 1995 Chromatic polynomials of hypergraphs. Zbl 0979.05044Borowiecki, Mieczysław; Łazuka, Ewa 12 2000 On-line ranking number for cycles and paths. Zbl 0958.05076Bruoth, Erik; Horňák, Mirko 12 1999 Isomorphic components of Kronecker product of bipartite graphs. Zbl 0906.05050Jha, Pranava K.; Klavžar, Sandi; Zmazek, Blaž 12 1997 Signed total Roman domination in digraphs. Zbl 1354.05063Volkmann, Lutz 12 2017 On the \(\alpha \)-spectral radius of uniform hypergraphs. Zbl 1433.05194Guo, Haiyan; Zhou, Bo 12 2020 Strong chromatic index of planar graphs with large girth. Zbl 1303.05063Jennhwa Chang, Gerard; Montassier, Mickael; Pêcher, Arnaud; Raspaud, André 11 2014 Intersection graph of gamma sets in the total graph. Zbl 1255.05110Tamizh Chelvam, T.; Asir, T. 11 2012 3-consecutive C-colorings of graphs. Zbl 1217.05087Bujtás, Csilla; Sampathkumar, E.; Tuza, Zsolt; Subramanya, M. S.; Dominic, Charles 11 2010 Perfect connected-dominant graphs. Zbl 1037.05038Zverovich, Igor Edmundovich 11 2003 List star edge-coloring of subcubic graphs. Zbl 1392.05040Kerdjoudj, Samia; Kostochka, Alexandr; Raspaud, André 11 2018 On the total Roman domination in trees. Zbl 1404.05146Amjadi, Jafar; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh 11 2019 Kernels by monochromatic paths and the color-class digraph. Zbl 1234.05111Galeana-Sánchez, Hortensia 11 2011 The crossing numbers of join products of paths with graphs of order four. Zbl 1227.05131Klešč, Marián; Schrötter, Štefan 11 2011 Linear and cyclic radio \(k\)-labelings of trees. Zbl 1137.05063Kchikech, Mustapha; Khennoufa, Riadh; Togni, Olivier 10 2007 Colouring vertices of plane graphs under restrictions given by faces. Zbl 1193.05065Czap, Július; Jendrol’, Stanislav 10 2009 Effect of edge-subdivision on vertex-domination in a graph. Zbl 1028.05072Bhattacharya, Amitava; Vijayakumar, Gurusamy Rengasamy 10 2002 \((H,k)\) stable graphs with minimum size. Zbl 1152.05035Dudek, Aneta; Szymański, Artur; Zwonek, Małgorzata 10 2008 Radio \(k\)-labelings for Cartesian products of graphs. Zbl 1171.05020Kchikech, Mustapha; Khennoufa, Riadh; Togni, Olivier 10 2008 Analogues of cliques for oriented coloring. Zbl 1063.05044Klostermeyer, William F.; MacGillivray, Gary 10 2004 Lower bounds for the domination number. Zbl 1217.05177Delaviña, Ermelinda; Pepper, Ryan; Waller, Bill 10 2010 Characterizations of graphs having large proper connection numbers. Zbl 1338.05088Lumduanhom, Chira; Laforge, Elliot; Zhang, Ping 10 2016 Rainbow disconnection in graphs. Zbl 1392.05038Chartrand, Gary; Devereaux, Stephen; Haynes, Teresa W.; Hedetniemi, Stephen T.; Zhang, Ping 10 2018 Strong equality between the Roman domination and independent Roman domination numbers in trees. Zbl 1293.05258Chellali, Mustapha; Rad, Nader Jafari 10 2013 On the non-\((p-1)\)-partite \(K_p\)-free graphs. Zbl 1291.05095Amin, Kinnari; Faudree, Jill; Gould, Ronald J.; Sidorowicz, Elżbieta 10 2013 \(C_7\)-decompositions of the tensor product of complete graphs. Zbl 1366.05081Manikandan, R. S.; Paulraja, P. 10 2017 \(k\)-kernels in generalizations of transitive digraphs. Zbl 1234.05113Galeana-Sánchez, Hortensia; Hernández-Cruz, César 10 2011 A characterization of locating-total domination edge critical graphs. Zbl 1284.05193Blidia, Mostafa; Dali, Widad 10 2011 Some maximum multigraphs and edge/vertex distance colourings. Zbl 0833.05036Skupień, Zdzisław 9 1995 Edge-connectivity of strong products of graphs. Zbl 1135.05034Brešar, Boštjan; Špacapan, Simon 9 2007 Packing parameters in graphs. Zbl 1307.05183Sahul Hamid, I.; Saravanakumar, S. 9 2015 Path and cycle factors of cubic bipartite graphs. Zbl 1173.05028Kano, M.; Lee, Changwoo; Suzuki, Kazuhiro 9 2008 Quasiperfect domination in triangular lattices. Zbl 1189.05125Dejter, Italo J. 9 2009 Arbitrarily vertex decomposable caterpillars with four or five leaves. Zbl 1142.05065Cichacz, Sylwia; Görlich, Agnieszka; Marczyk, Antoni; Przybyło, Jakub 9 2006 The directed path partition conjecture. Zbl 1118.05040Frick, Marietjie; van Aardt, Susan; Dlamini, Gcina; Dunbar, Jean; Oellermann, Ortrud 9 2005 Radio \(k\)-colorings of paths. Zbl 1056.05053Chartrand, Gary; Nebeský, Ladislav; Zhang, Ping 9 2004 Forbidden triples implying Hamiltonicity: for all graphs. Zbl 1060.05063Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S. 9 2004 Linear forests and ordered cycles. Zbl 1060.05054Chen, Guantao; Faudree, Ralph J.; Gould, Ronald J.; Jacobson, Michael S.; Lesniak, Linda; Pfender, Florian 9 2004 Completely independent spanning trees in (partial) \(k\)-trees. Zbl 1317.05029Matsushita, Masayoshi; Otachi, Yota; Araki, Toru 9 2015 Distinguishing Cartesian products of countable graphs. Zbl 1354.05065Estaji, Ehsan; Imrich, Wilfried; Kalinowski, Rafał; Pilśniak, Monika; Tucker, Thomas 9 2017 3-tuple total domination number of Rook’s graphs. Zbl 1484.05160Pahlavsay, Behnaz; Palezzato, Elisa; Torielli, Michele 1 2022 Open locating-dominating sets in circulant graphs. Zbl 1479.05265Givens, Robin M.; Yu, Gexin; Kincaid, Rex K. 1 2022 An analogue of DP-coloring for variable degeneracy and its applications. Zbl 1482.05121Sittitrai, Pongpat; Nakprasit, Kittikorn 1 2022 On \(\{a, b\}\)-edge-weightings of bipartite graphs with odd \(a, b\). Zbl 1484.05090Bensmail, Julien; Mc Inerney, Fionn; Lyngsie, Kasper Szabo 1 2022 On the \(\rho \)-edge stability number of graphs. Zbl 1479.05110Kemnitz, Arnfried; Marangio, Massimiliano 1 2022 Spanning trees with disjoint dominating and 2-dominating sets. Zbl 1479.05056Miotk, Mateusz; Żyliński, Paweł 1 2022 On \((p, 1)\)-total labelling of some 1-planar graphs. Zbl 1458.05231Niu, Bei; Zhang, Xin 4 2021 Domination number of graphs with minimum degree five. Zbl 1459.05232Bujtás, Csilla 4 2021 On Grundy total domination number in product graphs. Zbl 1453.05085Brešar, Boštjan; Bujtás, Csilla; Gologranc, Tanja; Klavžar, Sandi; Košmrlj, Gašper; Marc, Tilen; Patkós, Balázs; Tuza, Zsolt; Vizer, Máté 2 2021 Total 2-rainbow domination numbers of trees. Zbl 1460.05139Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. 2 2021 The general position problem on Kneser graphs and on some graph operations. Zbl 1468.05057Ghorbani, Modjtaba; Maimani, Hamid Reza; Momeni, Mostafa; Mahid, Farhad Rahimi; Klavžar, Sandi; Rus, Gregor 2 2021 A survey on the cyclic coloring and its relaxations. Zbl 1454.05036Czap, Július; Horňák, Mirko; Jendroľ, Stanislav 1 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 Generalized hypergraph coloring. Zbl 1453.05038Schweser, Thomas 1 2021 Dominating vertex covers: the vertex-edge domination problem. Zbl 1464.05293Klostermeyer, William F.; Messinger, Margaret-Ellen; Yeo, Anders 1 2021 On local antimagic chromatic number of cycle-related join graphs. Zbl 1470.05141Lau, Gee-Choon; Shiu, Wai-Chee; Ng, Ho-Kuen 1 2021 Intersection dimension and graph invariants. Zbl 1453.05074Aravind, N. R.; Subramanian, C. R. 1 2021 Independent transversal total domination versus total domination in trees. Zbl 1453.05087Cabrera Martínez, Abel; Peterin, Iztok; Yero, Ismael G. 1 2021 Decomposition of the tensor product of complete graphs into cycles of lengths 3 and 6. Zbl 1453.05104Paulraja, P.; Srimathi, R. 1 2021 A constructive characterization of vertex cover Roman trees. Zbl 1453.05086Cabrera Martínez, Abel; Kuziak, Dorota; Yero, Ismael G. 1 2021 Star-critical Ramsey numbers for cycles versus \(K_4\). Zbl 1458.05163Jayawardene, Chula J.; Narváez, David; Radziszowski, Stanisław 1 2021 \(H\)-kernels in unions of \(H\)-colored quasi-transitive digraphs. Zbl 1458.05088Campero-Alonzo, José Manuel; Sánchez-López, Rocío 1 2021 On proper (strong) rainbow connection of graphs. Zbl 1459.05080Jiang, Hui; Li, Wenjing; Li, Xueliang; Magnant, Colton 1 2021 Asymptotic behavior of the edge metric dimension of the random graph. Zbl 1460.05177Zubrilina, Nina 1 2021 Triameter of graphs. Zbl 1458.05052Das, Angsuman 1 2021 Restrained domination in self-complementary graphs. Zbl 1458.05192Desormeaux, Wyatt J.; Haynes, Teresa W.; Henning, Michael A. 1 2021 Hamiltonian cycle problem in strong \(k\)-quasi-transitive digraphs with large diameter. Zbl 1458.05095Wang, Ruixia 1 2021 Graph operations and neighborhood polynomials. Zbl 1459.05278Alipour, Maryam; Tittmann, Peter 1 2021 A new framework to approach Vizing’s conjecture. Zbl 1459.05231Brešar, Boštjan; Hartnell, Bert L.; Henning, Michael A.; Kuenzel, Kirsti; Rall, Douglas F. 1 2021 The Lagrangian density of \(\{123, 234, 456\}\) and the Turán number of its extension. Zbl 1468.05194Chen, Pingge; Liang, Jinhua; Peng, Yuejian 1 2021 \( \mathbb{Z}_2 \times \mathbb{Z}_2\)-cordial cycle-free hypergraphs. Zbl 1468.05195Cichacz, Sylwia; Görlich, Agnieszka; Tuza, Zsolt 1 2021 Total domination in generalized prisms and a new domination invariant. Zbl 1468.05222Tepeh, Aleksandra 1 2021 On the \(\alpha \)-spectral radius of uniform hypergraphs. Zbl 1433.05194Guo, Haiyan; Zhou, Bo 12 2020 Strong geodetic problem in networks. Zbl 1430.05028Manuel, Paul; Klavžar, Sandi; Xavier, Antony; Arokiaraj, Andrew; Thomas, Elizabeth 6 2020 Neighbor sum distinguishing total choosability of IC-planar graphs. Zbl 1430.05023Song, Wen-Yao; Miao, Lian-Ying; Duan, Yuan-Yuan 6 2020 Total forcing sets and zero forcing sets in trees. Zbl 1439.05082Davila, Randy; Henning, Michael A. 4 2020 Trees with distinguishing index equal distinguishing number plus one. Zbl 1439.05075Alikhani, Saeid; Klavžar, Sandi; Lehner, Florian; Soltani, Samaneh 4 2020 Balancedness and the least Laplacian eigenvalue of some complex unit gain graphs. Zbl 1433.05185Belardo, Francesco; Brunetti, Maurizio; Reff, Nathan 4 2020 Cospectral pairs of regular graphs with different connectivity. Zbl 1433.05195Haemers, Willem H. 4 2020 Determining graphs by the complementary spectrum. Zbl 1433.05205Pinheiro, Lucélia K.; Souza, Bruna S.; Trevisan, Vilmar 4 2020 Congruences and Hoehnke radicals on graphs. Zbl 1446.05043Broere, Izak; Heidema, Johannes; Veldsman, Stefan 3 2020 Conflict-free vertex-connections of graphs. Zbl 1433.05125Li, Xueliang; Zhang, Yingying; Zhu, Xiaoyu; Mao, Yaping; Zhao, Haixing; Jendrol’, Stanislav 3 2020 A survey on packing colorings. Zbl 1446.05031Brešar, Boštjan; Ferme, Jasmina; Klavžar, Sandi; Rall, Douglas F. 2 2020 Connected domination critical graphs with cut vertices. Zbl 1446.05072Kaemawichanurat, Pawaton; Ananchuen, Nawarat 2 2020 Power domination in the generalized Petersen graphs. Zbl 1439.05181Zhao, Min; Shan, Erfang; Kang, Liying 2 2020 Decompositions of cubic traceable graphs. Zbl 1430.05096Liu, Wenzhong; Li, Panpan 2 2020 A short proof for a lower bound on the zero forcing number. Zbl 1430.05088Fürst, Maximilian; Rautenbach, Dieter 2 2020 Signed complete graphs with maximum index. Zbl 1433.05138Akbari, Saieed; Dalvandi, Soudabeh; Heydari, Farideh; Maghasedi, Mohammad 2 2020 On regular signed graphs with three eigenvalues. Zbl 1433.05139Anđelić, Milica; Koledin, Tamara; Stanić, Zoran 2 2020 Some observations on the smallest adjacency eigenvalue of a graph. Zbl 1433.05189Cioabă, Sebastian M.; Elzinga, Randall J.; Gregory, David A. 2 2020 A spectral characterization of the \(s\)-clique extension of the triangular graphs. Zbl 1433.05212Tan, Ying-Ying; Koolen, Jack H.; Xia, Zheng-Jiang 2 2020 Graphs whose \(A_\alpha \) -spectral radius does not exceed 2. Zbl 1433.05213Wang, Jian Feng; Wang, Jing; Liu, Xiaogang; Belardo, Francesco 2 2020 Comparing eccentricity-based graph invariants. Zbl 1446.05023Hua, Hongbo; Wang, Hongzhuan; Gutman, Ivan 1 2020 Eccentricity of networks with structural constraints. Zbl 1447.91117Krnc, Matjaž; Sereni, Jean-Sébastien; Škrekovski, Riste; Yilma, Zelealem B. 1 2020 Extremal graphs for a bound on the Roman domination number. Zbl 1439.05175Bouchou, Ahmed; Blidia, Mostafa; Chellali, Mustapha 1 2020 On the metric dimension of directed and undirected circulant graphs. Zbl 1437.05114Vetrík, Tomáš 1 2020 The proper diameter of a graph. Zbl 1430.05026Coll, Vincent; Hook, Jonelle; Magnant, Colton; McCready, Karen; Ryan, Kathleen 1 2020 The compared costs of domination location-domination and identification. Zbl 07148543Hudry, Olivier; Lobstein, Antoine 1 2020 The Slater and sub-\(k\)-domination number of a graph with applications to domination and \(k\)-domination. Zbl 1430.05086Amos, David; Asplund, John; Brimkov, Boris; Davila, Randy 1 2020 More on the minimum size of graphs with given rainbow index. Zbl 1430.05045Zhao, Yan 1 2020 Longer cycles in essentially 4-connected planar graphs. Zbl 1430.05061Fabrici, Igor; Harant, Jochen; Mohr, Samuel; Schmidt, Jens M. 1 2020 Lower bound on the number of Hamiltonian cycles of generalized Petersen graphs. Zbl 1430.05055Lu, Weihua; Yang, Chao; Ren, Han 1 2020 Incidence coloring – cold cases. Zbl 1430.05037Kardoš, František; Maceková, Mária; Mockovčiaková, Martina; Sopena, Éric; Soták, Roman 1 2020 On the displacement of eigenvalues when removing a twin vertex. Zbl 1433.05187Briffa, Johann A.; Sciriha, Irene 1 2020 Graphs with clusters perturbed by regular graphs – \(A_\alpha \)-spectrum and applications. Zbl 1433.05188Cardoso, Domingos M.; Pastén, Germain; Rojo, Oscar 1 2020 Existence of regular nut graphs for degree at most 11. Zbl 1433.05153Fowler, Patrick W.; Gauci, John Baptist; Goedgebeur, Jan; Pisanski, Tomaž; Sciriha, Irene 1 2020 Fractional revival of threshold graphs under Laplacian dynamics. Zbl 1433.05198Kirkland, Steve; Zhang, Xiaohong 1 2020 Turán’s theorem implies Stanley’s bound. Zbl 1433.05203Nikiforov, V. 1 2020 A few examples and counterexamples in spectral graph theory. Zbl 1433.05211Stevanović, Dragan; Milosavljević, Nikola; Vukičević, Damir 1 2020 Some progress on the double Roman domination in graphs. Zbl 1401.05224Rad, Nader Jafari; Rahbani, Hadi 16 2019 Total Roman reinforcement in graphs. Zbl 1415.05128Ahangar, H. Abdollahzadeh; Amjadi, J.; Chellali, M.; Nazari-Moghaddam, S.; Sheikholeslami, S. M. 14 2019 On the total Roman domination in trees. Zbl 1404.05146Amjadi, Jafar; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh 11 2019 Independence number, connectivity and all fractional \((a, b, k)\)-critical graphs. Zbl 1401.05228Yuan, Yuan; Hao, Rong-Xia 7 2019 Fair domination number in cactus graphs. Zbl 1404.05151Hajian, Majid; Rad, Nader Jafari 5 2019 The second neighbourhood for bipartite tournaments. Zbl 1404.05069Li, Ruijuan; Sheng, Bin 5 2019 Bounding the locating-total domination number of a tree in terms of its annihilation number. Zbl 1401.05221Ning, Wenjie; Lu, Mei; Wang, Kun 4 2019 Graphs with large semipaired domination number. Zbl 1411.05204Haynes, Teresa W.; Henning, Michael A. 4 2019 Erdős-Gallai-type results for total monochromatic connection of graphs. Zbl 1415.05053Jiang, Hui; Li, Xueliang; Zhang, Yingying 4 2019 A note on Roman domination of digraphs. Zbl 1401.05219Hao, Guoliang; Xie, Zhihong; Chen, Xiaodan 3 2019 An efficient polynomial time approximation scheme for the vertex cover \(P_3\) problem on planar graphs. Zbl 1401.05286Tu, Jianhua; Shi, Yongtang 3 2019 \(L(2, 1)\)-labeling of circulant graphs. Zbl 1401.05261Mitra, Sarbari; Bhoumik, Soumya 3 2019 Error-correcting codes from \(k\)-resolving sets. Zbl 1406.94095Bailey, Robert F.; Yero, Ismael G. 3 2019 On some characterizations of antipodal partial cubes. Zbl 1404.05043Polat, Norbert 3 2019 The crossing number of the hexagonal graph \(H_{3,n}\). Zbl 1404.05038Wang, Jing; Ouyang, Zhangdong; Huang, Yuanqiu 3 2019 The super-connectivity of Kneser graphs. Zbl 1401.05164Ekinci, Gülnaz Boruzanli; Gauci, John Baptist 2 2019 Decomposition of the product of cycles based on degree partition. Zbl 1401.05230Borse, Y. M.; Shaikh, S. R. 2 2019 Generalized sum List colorings of graphs. Zbl 1441.05079Kemnitz, Arnfried; Marangio, Massimiliano; Voigt, Margit 2 2019 Domination subdivision and domination multisubdivision numbers of graphs. Zbl 1415.05131Dettlaff, Magda; Raczek, Joanna; Topp, Jerzy 2 2019 On independent domination in planar cubic graphs. Zbl 1415.05127Abrishami, Gholamreza; Henning, Michael A.; Rahbarnia, Freydoon 2 2019 The path-pairability number of product of stars. Zbl 1415.05094Jobson, Adam S.; Kézdy, André.; Lehel, Jenő; Mészáros, Gábor 2 2019 On graphs representable by pattern-avoiding words. Zbl 1404.05132Mandelshtam, Yelena 2 2019 On the co-Roman domination in graphs. Zbl 1404.05158Shao, Zehui; Sheikholeslami, Seyed Mahmoud; Soroudi, Marzieh; Volkmann, Lutz; Liu, Xinmiao 2 2019 Orientable \(\mathbb{Z}_N\)-distance magic graphs. Zbl 1404.05185Cichacz, Sylwia; Freyberg, Bryan; Froncek, Dalibor 2 2019 Bounds on the signed Roman \(k\)-domination number of a digraph. Zbl 1401.05213Chen, Xiaodan; Hao, Guoliang; Volkmann, Lutz 1 2019 Hamilton cycles in double generalized Petersen graphs. Zbl 1401.05176Sakamoto, Yutaro 1 2019 Oriented chromatic number of Cartesian products and strong products of paths. Zbl 1401.05111Dybizbański, Janusz; Nenca, Anna 1 2019 Anti-Ramsey number of Hanoi graphs. Zbl 1401.05192Gorgol, Izolda; Lechowska, Anna 1 2019 Facial \([r,s,t]\)-colorings of plane graphs. Zbl 1411.05065Czap, Július; Šugerek, Peter; Jendrol’, Stanislav; Valiska, Juraj 1 2019 A note on lower bounds for induced Ramsey numbers. Zbl 1411.05253Gorgol, Izolda 1 2019 Hamiltonian normal Cayley graphs. Zbl 1411.05152Montellano-Ballesteros, Juan José; Arguello Santiago, Anahy 1 2019 ...and 784 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,199 Authors 94 Henning, Michael Anthony 66 Klavžar, Sandi 57 Borodin, Oleg Veniaminovich 57 Ivanova, Anna Olegovna 54 Sheikholeslami, Seyed Mahmoud 50 Li, Xueliang 45 Volkmann, Lutz 44 Jafari Rad, Nader 36 Jendrol’, Stanislav 35 Paulusma, Daniël 32 Brešar, Boštjan 30 Rodríguez-Velazquez, Juan Alberto 30 Schiermeyer, Ingo 29 Haynes, Teresa W. 28 Tuza, Zsolt 28 Yero, Ismael Gonzalez 27 Galeana-Sánchez, Hortensia 25 Chellali, Mustapha 23 Rautenbach, Dieter 22 Bača, Martin 22 Golovach, Petr A. 19 Bujtás, Csilla 19 Rall, Douglas F. 19 Sigarreta Almira, José María 18 Lemańska, Magdalena 18 Peterin, Iztok 18 Woźniak, Mariusz 18 Wu, Baoyindureng 17 Ahangar, Hossein Abdollahzadeh 17 Cabrera Martínez, Abel 17 Hedetniemi, Stephen Travis 17 Kostochka, Aleksandr Vasil’evich 17 Semaničová-Feňovčíková, Andrea 17 Shao, Zehui 16 Chang, Gerard Jennhwa 16 Horňák, Mirko 16 Zhu, Xuding 15 Amjadi, Jafar 15 Khoeilar, Rana 15 Mao, Yaping 14 Broersma, Hajo J. 14 Cichacz, Sylwia 14 Favaron, Odile 14 Mojdeh, Doost Ali 14 Semanišin, Gabriel 14 Sidorowicz, Elżbieta 14 Škrekovski, Riste 14 Sopena, Éric 14 Soták, Roman 14 Wang, Ligong 13 Czap, Július 13 Drgas-Burchardt, Ewa 13 Goddard, Wayne Dean 13 Iršič, Vesna 13 Karami, Hossein 13 Madaras, Tomáš 13 Sanchez-Lopez, Rocio 13 Zhang, Heping 12 Dehgardi, Nasrin 12 Fabrici, Igor 12 Harant, Jochen 12 Hernández-Cruz, César 12 Paulraja, P. 12 Pilśniak, Monika 12 Horvat, Aleksandra Tepeh 12 Wu, Jian-Liang 11 Akbari, Saieed 11 Alikhani, Saeid 11 Fiala, Jiří 11 Frick, Marietjie 11 Gutman, Ivan M. 11 Ma, Yingbin 11 Magnant, Colton 11 MacKee, Terry Allan 11 Mynhardt, Christina Magdalena 11 Panigrahi, Pratima 11 Przybyło, Jakub 11 Pushpam, P. Roushini Leely 11 Saha, Laxman 11 Shi, Yongtang 11 Voigt, Margit 11 West, Douglas Brent 11 Žerovnik, Janez 11 Zhao, Yan 10 Bensmail, Julien 10 Borowiecki, Mieczysław 10 Dettlaff, Magda 10 Ekim, Tınaz 10 Gould, Ronald J. 10 Kang, Liying 10 Liu, Guizhen 10 Muntaner-Batle, Francesc Antoni 10 Raczek, Joanna 10 Raspaud, André 10 Siddiqui, Muhammad Kamran 10 Togni, Olivier 10 Wang, Wei-Fan 10 Wang, Zhao 9 Ahmad, Ali 9 Bermudo, Sergio ...and 3,099 more Authors all top 5 Cited in 239 Journals 463 Discrete Mathematics 388 Discrete Applied Mathematics 206 Discussiones Mathematicae. Graph Theory 192 Graphs and Combinatorics 84 Journal of Combinatorial Optimization 80 Discrete Mathematics, Algorithms and Applications 77 Applied Mathematics and Computation 76 Theoretical Computer Science 73 AKCE International Journal of Graphs and Combinatorics 61 The Electronic Journal of Combinatorics 57 European Journal of Combinatorics 54 Journal of Graph Theory 47 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 43 Linear Algebra and its Applications 41 Information Processing Letters 36 Electronic Journal of Graph Theory and Applications 35 The Australasian Journal of Combinatorics 27 Acta Mathematica Sinica. English Series 22 Journal of Combinatorial Theory. Series B 20 Communications in Combinatorics and Optimization 19 Asian-European Journal of Mathematics 18 Algorithmica 17 Czechoslovak Mathematical Journal 17 Applied Mathematics Letters 17 Opuscula Mathematica 15 Acta Mathematicae Applicatae Sinica. 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DMTCS 5 Discrete Dynamics in Nature and Society 5 Lobachevskii Journal of Mathematics 5 Frontiers of Mathematics in China 4 Computers & Mathematics with Applications 4 Problems of Information Transmission 4 Mathematica Slovaca 4 Advances in Applied Mathematics 4 Bulletin of the Korean Mathematical Society 4 Computers & Operations Research 4 Annals of Operations Research 4 Journal of Algebraic Combinatorics 3 Indian Journal of Pure & Applied Mathematics 3 Periodica Mathematica Hungarica 3 Acta Mathematica Hungarica 3 Bulletin of the Iranian Mathematical Society 3 Information and Computation 3 Random Structures & Algorithms 3 Journal of Global Optimization 3 Journal of Combinatorial Designs 3 Boletín de la Sociedad Matemática Mexicana. 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Informatica 3 Algorithms 3 Iranian Journal of Mathematical Chemistry ...and 139 more Journals all top 5 Cited in 44 Fields 2,838 Combinatorics (05-XX) 293 Computer science (68-XX) 133 Operations research, mathematical programming (90-XX) 60 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 51 Linear and multilinear algebra; matrix theory (15-XX) 42 Convex and discrete geometry (52-XX) 32 Information and communication theory, circuits (94-XX) 24 Biology and other natural sciences (92-XX) 19 Number theory (11-XX) 13 Commutative algebra (13-XX) 13 Group theory and generalizations (20-XX) 11 Numerical analysis (65-XX) 7 Associative rings and algebras (16-XX) 6 Geometry (51-XX) 5 History and biography (01-XX) 5 Mathematical logic and foundations (03-XX) 5 Statistical mechanics, structure of matter (82-XX) 4 General and overarching topics; collections (00-XX) 4 General algebraic systems (08-XX) 4 Probability theory and stochastic processes (60-XX) 4 Quantum theory (81-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 General topology (54-XX) 3 Manifolds and cell complexes (57-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Algebraic topology (55-XX) 2 Statistics (62-XX) 1 Field theory and polynomials (12-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 Topological groups, Lie groups (22-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Approximations and expansions (41-XX) 1 Abstract harmonic analysis (43-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Systems theory; control (93-XX) 1 Mathematics education (97-XX) Citations by Year