Edit Profile (opens in new tab) Bermudo, Sergio Compute Distance To: Compute Author ID: bermudo.sergio Published as: Bermudo, Sergio; Bermudo, S. External Links: MGP · ORCID Documents Indexed: 45 Publications since 2006 Co-Authors: 33 Co-Authors with 40 Joint Publications 526 Co-Co-Authors all top 5 Co-Authors 4 single-authored 24 Sigarreta Almira, José María 8 Rodríguez García, José Manuel 7 Rodríguez-Velazquez, Juan Alberto 6 Yero, Ismael Gonzalez 5 Fernau, Henning 4 Rada, Juan 3 Basilio, Ludwin A. 3 Hernández-Gómez, Juan Carlos 3 Mancera, Carmen H. 3 Paúl, Pedro José 2 Higuita, Robinson A. 2 Leanos, Jesus 2 Marcantognini, Stefania A. M. 2 Morán, María Dolores 2 Vasyunin, Vasiliĭ Ivanovich 1 Cabrera Martínez, Abel 1 Carballosa, Walter 1 Cruz, Roberto 1 Delatorre, Leonel G. 1 Dettlaff, Magda 1 Dolores, Crisólogo 1 Hernández Mira, Frank Ángel 1 Kórus, Péter 1 Lemańska, Magdalena 1 Martín-Caraballo, A. M. 1 Montes-Rodríguez, Alfonso 1 Nápoles Valdés, Juan E. 1 Rosario, Omar 1 Ruesga, Pilar 1 Sánchez, José L. 1 Shkarin, Stanislav A. 1 Touris, Eva 1 Vilaire, Jean-Marie all top 5 Serials 9 Discrete Applied Mathematics 4 Discrete Mathematics 2 Applied Mathematics and Computation 2 Utilitas Mathematica 2 Applied Mathematics Letters 2 Acta Mathematica Sinica. English Series 1 Computers & Mathematics with Applications 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Ars Combinatoria 1 Czechoslovak Mathematical Journal 1 Theoretical Computer Science 1 Note di Matematica 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 International Journal of Computer Mathematics 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Filomat 1 Discussiones Mathematicae. Graph Theory 1 Journal of Mathematical Chemistry 1 Taiwanese Journal of Mathematics 1 MATCH - Communications in Mathematical and in Computer Chemistry 1 Mediterranean Journal of Mathematics 1 Applied Mathematical Sciences (Ruse) 1 Applicable Analysis and Discrete Mathematics 1 Ars Mathematica Contemporanea 1 Symmetry all top 5 Fields 36 Combinatorics (05-XX) 7 Operator theory (47-XX) 5 Computer science (68-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Real functions (26-XX) 1 Functions of a complex variable (30-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 32 Publications have been cited 287 times in 145 Documents Cited by ▼ Year ▼ Gromov hyperbolic graphs. Zbl 1279.05017Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M.; Vilaire, Jean-Marie 34 2013 Computing the hyperbolicity constant. Zbl 1247.53043Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M. 33 2011 The differential and the Roman domination number of a graph. Zbl 1464.05280Bermudo, Sergio; Fernau, Henning; Sigarreta, José M. 26 2014 Hyperbolicity and complement of graphs. Zbl 1242.05061Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M.; Tourís, Eva 26 2011 On \(q\)-Hermite-Hadamard inequalities for general convex functions. Zbl 1474.26085Bermudo, S.; Kórus, P.; Nápoles Valdés, J. E. 21 2020 Computing the differential of a graph: hardness, approximability and exact algorithms. Zbl 1288.05262Bermudo, S.; Fernau, H. 12 2014 Lower bounds on the differential of a graph. Zbl 1252.05089Bermudo, S.; Fernau, H. 12 2012 On the complement graph and defensive \(k\)-alliances. Zbl 1211.05125Sigarreta, J. M.; Bermudo, S.; Fernau, H. 10 2009 Partitioning a graph into defensive \(k\)-alliances. Zbl 1222.05206Yero, Ismael G.; Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M. 9 2011 On the hyperbolicity of edge-chordal and path-chordal graphs. Zbl 1462.05260Bermudo, Sergio; Carballosa, Walter; Rodríguez, José M.; Sigarreta, José M. 9 2016 Partitioning a graph into offensive \(k\)-alliances. Zbl 1210.05114Sigarreta, José M.; Yero, Ismael G.; Bermudo, Sergio; Rodríguez-Velázquez, Juan A. 9 2011 Small values of the hyperbolicity constant in graphs. Zbl 1343.05112Bermudo, Sergio; Rodríguez, José M.; Rosario, Omar; Sigarreta, José M. 8 2016 Total \(k\)-domination in Cartesian product graphs. Zbl 1413.05279Bermudo, S.; Sanchéz, J. L.; Sigarreta, J. M. 8 2017 On the total \(k\)-domination in graphs. Zbl 1377.05137Bermudo, Sergio; Hernández-Gómez, Juan C.; Sigarreta, José M. 8 2018 Combinatorics for smaller kernels: the differential of a graph. Zbl 1305.05216Bermudo, Sergio; Fernau, Henning 8 2015 On the differential in graphs. Zbl 1339.05277Bermudo, S.; Rodriguez, Jose M.; Sigarreta, José M. 7 2015 On global offensive \(k\)-alliances in graphs. Zbl 1208.05096Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M.; Yero, Ismael G. 7 2010 On the differential and Roman domination number of a graph with minimum degree two. Zbl 1372.05157Bermudo, Sergio 6 2017 The differential of the strong product graphs. Zbl 1314.05146Bermudo, S.; de la Torre, L.; Martín-Caraballo, A. M.; Sigarreta, J. M. 6 2015 Orbits of operators commuting with the Volterra operator. Zbl 1137.47036Bermudo, Sergio; Montes-Rodríguez, Alfonso; Shkarin, Stanislav 5 2008 Relations between the differential and parameters in graphs. Zbl 1338.05210Bermudo, Sergio; Hernández-Gómez, Juan C.; Rodríguez, José M.; Sigarreta, José M. 4 2014 Bounds on the differential of a graph. Zbl 1373.05136Basilio, Ludwin A.; Bermudo, Sergio; Sigarreta, José M. 4 2017 Domination in hexagonal chains. Zbl 1433.05243Bermudo, Sergio; Higuita, Robinson A.; Rada, Juan 2 2020 On the global total \(k\)-domination number of graphs. Zbl 1414.05216Bermudo, Sergio; Cabrera Martínez, Abel; Hernández Mira, Frank A.; Sigarreta, José M. 2 2019 Total \(k\)-domination in strong product graphs. Zbl 1414.05217Bermudo, S.; Hernández-Gómez, J. C.; Sigarreta, J. M. 2 2019 On geodetic and \(k\)-geodetic sets in graphs. Zbl 1249.05088Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M.; Yero, Ismael G. 2 2010 Operators of Hankel type. Zbl 1164.47326Bermudo, S.; Marcantognini, S. A. M.; Morán, M. D. 2 2006 Graphs with small hyperbolicity constant. Zbl 1338.05060Bermudo, Sergio 1 2014 Lifting the solutions of a Toeplitz type equation; the semigroup case \(X = T_sX{T_s}^*\). Zbl 1150.47015Bermudo, Sergio; Mancera, Carmen H.; Paúl, Pedro J. 1 2006 Is every graph the extremal value of a vertex-degree-based topological index. Zbl 1471.92456Rada, J.; Bermudo, S. 1 2019 Alliance free and alliance cover sets. Zbl 1248.05142Rodriguez-Velazquez, Juan Alberto; Sigarreta, José María; Yero, Ismael Gonzalez; Bermudo, Sergio 1 2011 Quasi-similarity of contractions having a \(2 \times 1\). Zbl 1147.47001Bermudo, Sergio; Mancera, Carmen H.; Paùl, Pedro J.; Vasyunin, Vasily 1 2007 On \(q\)-Hermite-Hadamard inequalities for general convex functions. Zbl 1474.26085Bermudo, S.; Kórus, P.; Nápoles Valdés, J. E. 21 2020 Domination in hexagonal chains. Zbl 1433.05243Bermudo, Sergio; Higuita, Robinson A.; Rada, Juan 2 2020 On the global total \(k\)-domination number of graphs. Zbl 1414.05216Bermudo, Sergio; Cabrera Martínez, Abel; Hernández Mira, Frank A.; Sigarreta, José M. 2 2019 Total \(k\)-domination in strong product graphs. Zbl 1414.05217Bermudo, S.; Hernández-Gómez, J. C.; Sigarreta, J. M. 2 2019 Is every graph the extremal value of a vertex-degree-based topological index. Zbl 1471.92456Rada, J.; Bermudo, S. 1 2019 On the total \(k\)-domination in graphs. Zbl 1377.05137Bermudo, Sergio; Hernández-Gómez, Juan C.; Sigarreta, José M. 8 2018 Total \(k\)-domination in Cartesian product graphs. Zbl 1413.05279Bermudo, S.; Sanchéz, J. L.; Sigarreta, J. M. 8 2017 On the differential and Roman domination number of a graph with minimum degree two. Zbl 1372.05157Bermudo, Sergio 6 2017 Bounds on the differential of a graph. Zbl 1373.05136Basilio, Ludwin A.; Bermudo, Sergio; Sigarreta, José M. 4 2017 On the hyperbolicity of edge-chordal and path-chordal graphs. Zbl 1462.05260Bermudo, Sergio; Carballosa, Walter; Rodríguez, José M.; Sigarreta, José M. 9 2016 Small values of the hyperbolicity constant in graphs. Zbl 1343.05112Bermudo, Sergio; Rodríguez, José M.; Rosario, Omar; Sigarreta, José M. 8 2016 Combinatorics for smaller kernels: the differential of a graph. Zbl 1305.05216Bermudo, Sergio; Fernau, Henning 8 2015 On the differential in graphs. Zbl 1339.05277Bermudo, S.; Rodriguez, Jose M.; Sigarreta, José M. 7 2015 The differential of the strong product graphs. Zbl 1314.05146Bermudo, S.; de la Torre, L.; Martín-Caraballo, A. M.; Sigarreta, J. M. 6 2015 The differential and the Roman domination number of a graph. Zbl 1464.05280Bermudo, Sergio; Fernau, Henning; Sigarreta, José M. 26 2014 Computing the differential of a graph: hardness, approximability and exact algorithms. Zbl 1288.05262Bermudo, S.; Fernau, H. 12 2014 Relations between the differential and parameters in graphs. Zbl 1338.05210Bermudo, Sergio; Hernández-Gómez, Juan C.; Rodríguez, José M.; Sigarreta, José M. 4 2014 Graphs with small hyperbolicity constant. Zbl 1338.05060Bermudo, Sergio 1 2014 Gromov hyperbolic graphs. Zbl 1279.05017Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M.; Vilaire, Jean-Marie 34 2013 Lower bounds on the differential of a graph. Zbl 1252.05089Bermudo, S.; Fernau, H. 12 2012 Computing the hyperbolicity constant. Zbl 1247.53043Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M. 33 2011 Hyperbolicity and complement of graphs. Zbl 1242.05061Bermudo, Sergio; Rodríguez, José M.; Sigarreta, José M.; Tourís, Eva 26 2011 Partitioning a graph into defensive \(k\)-alliances. Zbl 1222.05206Yero, Ismael G.; Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M. 9 2011 Partitioning a graph into offensive \(k\)-alliances. Zbl 1210.05114Sigarreta, José M.; Yero, Ismael G.; Bermudo, Sergio; Rodríguez-Velázquez, Juan A. 9 2011 Alliance free and alliance cover sets. Zbl 1248.05142Rodriguez-Velazquez, Juan Alberto; Sigarreta, José María; Yero, Ismael Gonzalez; Bermudo, Sergio 1 2011 On global offensive \(k\)-alliances in graphs. Zbl 1208.05096Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M.; Yero, Ismael G. 7 2010 On geodetic and \(k\)-geodetic sets in graphs. Zbl 1249.05088Bermudo, Sergio; Rodríguez-Velázquez, Juan A.; Sigarreta, José M.; Yero, Ismael G. 2 2010 On the complement graph and defensive \(k\)-alliances. Zbl 1211.05125Sigarreta, J. M.; Bermudo, S.; Fernau, H. 10 2009 Orbits of operators commuting with the Volterra operator. Zbl 1137.47036Bermudo, Sergio; Montes-Rodríguez, Alfonso; Shkarin, Stanislav 5 2008 Quasi-similarity of contractions having a \(2 \times 1\). Zbl 1147.47001Bermudo, Sergio; Mancera, Carmen H.; Paùl, Pedro J.; Vasyunin, Vasily 1 2007 Operators of Hankel type. Zbl 1164.47326Bermudo, S.; Marcantognini, S. A. M.; Morán, M. D. 2 2006 Lifting the solutions of a Toeplitz type equation; the semigroup case \(X = T_sX{T_s}^*\). Zbl 1150.47015Bermudo, Sergio; Mancera, Carmen H.; Paúl, Pedro J. 1 2006 all cited Publications top 5 cited Publications all top 5 Cited by 164 Authors 36 Rodríguez García, José Manuel 34 Sigarreta Almira, José María 23 Bermudo, Sergio 15 Budak, Hüseyin 14 Ali, Muhammad Aamir 13 Carballosa, Walter 11 Pestana, Domingo 10 Rodríguez-Velazquez, Juan Alberto 7 Fernau, Henning 6 Chellali, Mustapha 6 Chu, Yuming 6 Granados, Ana 6 Hernández-Gómez, Juan Carlos 6 Jafari Rad, Nader 6 Yero, Ismael Gonzalez 5 Cabrera Martínez, Abel 5 Haynes, Teresa W. 5 Sitthiwirattham, Thanin 4 Abbas, Mujahid 4 Bazgan, Cristina 4 Cantón, Alicia 4 De La Cruz, Amauris 4 Hernández, Verónica 4 Kalsoom, Humaira 4 Martínez-Pérez, Álvaro 4 Portilla, Ana 4 Reyes, Rosalío 4 Rosario, Omar 4 Villeta, María 3 Ahangar, Hossein Abdollahzadeh 3 Gaikwad, Ajinkya 3 Hedetniemi, Stephen Travis 3 Leanos, Jesus 3 Maity, Soumen 3 Volkmann, Lutz 3 You, Xuexiao 2 Alp, Necmettin 2 Anwar, Matloob 2 Basilio, Ludwin A. 2 Branković, Ljiljana 2 Casel, Katrin 2 Chasreechai, Saowaluck 2 Goyal, Pooja 2 Hernández Mira, Frank Ángel 2 Kashuri, Artion 2 Klavžar, Sandi 2 Levit, Vadim E. 2 Mandrescu, Eugen 2 Murtaza, Ghulam 2 Panda, Bhawani Sankar 2 Rada, Juan 2 Raees, Muhammad 2 Rahbani, Hadi 2 Reyna, Gerardo 2 Samodivkin, Vladimir D. 2 Sheikholeslami, Seyed Mahmoud 2 Shkarin, Stanislav A. 2 Slimani, Hachem 2 Torres-Nuñez, Yadira 1 Abdeljawad, Thabet 1 Abu-Khzam, Faisal N. 1 Agarwal, Praveen 1 Akkurt, Abdullah 1 Alqudah, Manar A. 1 Anu, V. 1 Asawasamrit, Suphawat 1 Aslam, Waqas 1 Banerjee, Sumanta 1 Barbosa, Rommel M. 1 Basilio-Hernández, Ludwin A. 1 Beeler, Robert A. 1 Beltrán-Meneu, María J. 1 Blidia, Mostafa 1 Bouchou, Ahmed 1 Casablanca, Rocío M. 1 Chen, Hanlin 1 Chopin, Morgan 1 Cohen, Nathann 1 Coudert, David 1 Cruz, Roberto 1 da Silva, Leila R. S. 1 Delatorre, Leonel G. 1 Dell’Amico, Mauro 1 Dourado, Mitre Costa 1 Dubickas, Artūras 1 Ducoffe, Guillaume 1 Egunjobi, Ayotunde T. 1 Erden, Samet 1 Espinobarros, Ivan 1 Etemad, Sina 1 Fatima, Nawal 1 Gomilko, Oleksandr 1 Hamed, Yasser S. 1 Hansberg, Adriana 1 Hedetniemi, Sandra Lee Mitchell 1 Higuita, Robinson A. 1 Infanta, L. G. Bino 1 Jamil, Ferdinand P. 1 Jha, Anupriya 1 Jordá, Enrique ...and 64 more Authors all top 5 Cited in 60 Serials 24 Discrete Applied Mathematics 6 Acta Mathematica Sinica. English Series 6 Open Mathematics 5 Theoretical Computer Science 5 Graphs and Combinatorics 5 Symmetry 4 Discrete Mathematics 4 International Journal of Computer Mathematics 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 AIMS Mathematics 3 Discussiones Mathematicae. Graph Theory 3 Journal of Mathematical Chemistry 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Integral Equations and Operator Theory 2 Quaestiones Mathematicae 2 Bulletin of the Iranian Mathematical Society 2 The Electronic Journal of Combinatorics 2 Journal of Inequalities and Applications 2 Central European Journal of Mathematics 2 Advances in Difference Equations 2 Advances and Applications in Discrete Mathematics 2 Discrete Mathematics, Algorithms and Applications 2 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 2 Journal of Mathematics 1 Computers & Mathematics with Applications 1 Information Processing Letters 1 Journal of Mathematical Analysis and Applications 1 Periodica Mathematica Hungarica 1 Collectanea Mathematica 1 Glasgow Mathematical Journal 1 Journal of Computer and System Sciences 1 Journal of Functional Analysis 1 Journal of the Mathematical Society of Japan 1 Pacific Journal of Mathematics 1 Results in Mathematics 1 Semigroup Forum 1 European Journal of Combinatorics 1 Acta Mathematica Hungarica 1 Applied Mathematics Letters 1 Aequationes Mathematicae 1 The Australasian Journal of Combinatorics 1 The Journal of Analysis 1 Filomat 1 Revista Investigación Operacional 1 Mathematical Methods of Operations Research 1 Annals of Mathematics. Second Series 1 CEJOR. Central European Journal of Operations Research 1 Communications in Contemporary Mathematics 1 Kragujevac Journal of Mathematics 1 Mediterranean Journal of Mathematics 1 AKCE International Journal of Graphs and Combinatorics 1 Boundary Value Problems 1 Proyecciones 1 Contributions to Discrete Mathematics 1 Complex Analysis and Operator Theory 1 Tbilisi Mathematical Journal 1 Advances in Mathematical Physics 1 Korean Journal of Mathematics 1 DML. Discrete Mathematics Letters 1 Advanced Studies: Euro-Tbilisi Mathematical Journal all top 5 Cited in 23 Fields 112 Combinatorics (05-XX) 21 Real functions (26-XX) 20 Computer science (68-XX) 9 Differential geometry (53-XX) 8 Operator theory (47-XX) 4 Biology and other natural sciences (92-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 1 Number theory (11-XX) 1 Group theory and generalizations (20-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Partial differential equations (35-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Convex and discrete geometry (52-XX) 1 Manifolds and cell complexes (57-XX) 1 Quantum theory (81-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year