Edit Profile Balbuena, Camino Compute Distance To: Compute Author ID: balbuena.camino Published as: Balbuena, C.; Balbuena, Camino External Links: ORCID Documents Indexed: 134 Publications since 1996 all top 5 Co-Authors 5 single-authored 50 Marcote, Xavier 39 García-Vázquez, Pedro 19 Valenzuela Tripodoro, Juan Carlos 17 Araujo-Pardo, Gabriela 13 Lin, Yuqing 13 Miller, Mirka 11 Pelayo, Ignacio M. 10 González-Moreno, Diego 9 Diánez, Ana 9 Montejano, Luis Pedro 8 Cera, Martín 8 Fàbrega, Josep 8 Olsen, Mika 8 Salas, Julian 6 Abajo, E. 6 Abreu, Marién 6 Labbate, Domenico 5 Guevara, Mucuy-kak 5 Hansberg, Adriana 4 Bendala, M. 4 Carmona, Adrián 3 Fiol, Miquel Angel 3 Galeana-Sánchez, Hortensia 3 Ždímalová, Mária 2 Dalfó, Cristina 2 Ferrero, Daniela 2 Gómez, J. S. 2 Gómez, Jorge Arturo 2 López-Chávez, Gloria 2 Marshall, Kim 2 Martínez-Barona, Berenice 2 Ortego, M. I. 2 Sugeng, Kiki Ariyanti 2 Tang, Jianmin 1 Araujo-Pardo, C. 1 Araujo, Gabriel M. 1 Araújo, Geraldo M. 1 Barker, Edward 1 Barker, Ewan J. 1 Das, Kinkar Chandra 1 Foucaud, Florent 1 Fresán-Figueroa, Julián 1 Gonzalez, Damaris Pascual 1 Haynes, Teresa W. 1 Héger, Tamás 1 Henning, Michael Anthony 1 Jiang, Tao 1 Lu, Hongliang 1 Márquez, Alberto 1 Montellano-Ballesteros, Juan José 1 Portillo, José Ramon 1 Ryan, Joe 1 Širáň, Jozef 1 Slamin, S. 1 Tkáč, Michal 1 Valencia, Pilar 1 Wu, Yunjian 1 Yu, Qinglin all top 5 Serials 33 Discrete Mathematics 21 Discrete Applied Mathematics 14 Networks 6 Applied Mathematics Letters 5 Acta Mathematica Sinica. English Series 4 Applied Mathematics and Computation 4 Ars Combinatoria 4 The Electronic Journal of Combinatorics 3 Discrete Mathematics and Theoretical Computer Science. DMTCS 2 Journal of Graph Theory 2 Graphs and Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Aequationes Mathematicae 1 Information Processing Letters 1 Utilitas Mathematica 1 European Journal of Combinatorics 1 Designs, Codes and Cryptography 1 International Journal of Computer Mathematics 1 Linear Algebra and its Applications 1 Discussiones Mathematicae. Graph Theory 1 AKCE International Journal of Graphs and Combinatorics 1 The Art of Discrete and Applied Mathematics all top 5 Fields 131 Combinatorics (05-XX) 5 Geometry (51-XX) 3 Computer science (68-XX) 2 Operations research, mathematical programming (90-XX) 1 Probability theory and stochastic processes (60-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 94 Publications have been cited 519 times in 242 Documents Cited by ▼ Year ▼ Sufficient conditions for \(\lambda'\)-optimality in graphs with girth \(g\). Zbl 1089.05024Balbuena, C.; García-Vázquez, P.; Marcote, X. 43 2006 On restricted connectivities of permutation graphs. Zbl 1078.05050Balbuena, C.; Marcote, X.; García-Vázquez, P. 19 2005 Extraconnectivity of graphs with large minimum degree and girth. Zbl 0874.05033Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 19 1997 On the restricted connectivity and superconnectivity in graphs with given girth. Zbl 1111.05053Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 18 2007 On the connectivity and the conditional diameter of graphs and digraphs. Zbl 0865.90047Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 17 1996 Superconnectivity of bipartite digraphs and graphs. Zbl 0933.05089Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 15 1999 Diameter-girth sufficient conditions for optimal extraconnectivity in graphs. Zbl 1172.05035Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 14 2008 Incidence matrices of projective planes and of some regular bipartite graphs of girth 6 with few vertices. Zbl 1229.05130Balbuena, C. 13 2008 (\(\delta ,g\))-cages with \(g\geqslant 10\) are 4-connected. Zbl 1079.05049Marcote, X.; Balbuena, C.; Pelayo, I.; Fàbrega, J. 13 2005 On the connectivity of cages with girth five, six and eight. Zbl 1118.05054Marcote, X.; Balbuena, C.; Pelayo, I. 12 2007 Sufficient conditions for \(\lambda ^{\prime}\)-optimality of graphs with small conditional diameter. Zbl 1185.68081Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 12 2005 Improved lower bound for the vertex connectivity of \((\delta ;g)\)-cages. Zbl 1080.05053Lin, Yuqing; Miller, Mirka; Balbuena, Camino 11 2005 On the connectivity and superconnectivity of bipartite digraphs and graphs. Zbl 1071.05544Balbuena, C.; Carmona, A. 10 2001 Edge fault tolerance analysis of super \(k\)-restricted connected networks. Zbl 1220.05067Balbuena, C.; García-Vázquez, P. 9 2010 On the 3-restricted edge connectivity of permutation graphs. Zbl 1172.05036Balbuena, C.; González-Moreno, D.; Marcote, X. 9 2009 Constructions of bi-regular cages. Zbl 1229.05129Araujo-Pardo, G.; Balbuena, C.; Valenzuela, J. C. 9 2009 On the edge-connectivity and restricted edge-connectivity of a product of graphs. Zbl 1127.05058Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 9 2007 All \((k;g)\)-cages are edge-superconnected. Zbl 1087.05034Lin, Yuqing; Miller, Mirka; Balbuena, C.; Marcote, X. 9 2006 Finding small regular graphs of girths 6, 8 and 12 as subgraphs of cages. Zbl 1205.05064Araujo-Pardo, G.; Balbuena, C.; Héger, T. 8 2010 On the order of \((\{r,m\};g)\)-cages of even girth. Zbl 1151.05024Araujo-Pardo, G.; Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 8 2008 Reliability of interconnection networks modeled by a product of graphs. Zbl 1108.05053Balbuena, C.; García-Vázquez, P.; Marcote, X. 8 2006 Edge-superconnectivity of cages. Zbl 1031.05078Marcote, X.; Balbuena, C. 8 2004 Superconnected digraphs and graphs with small conditional diameters. Zbl 0999.05048Balbuena, C.; Fàbrega, J.; Marcote, X.; Pelayo, I. 8 2002 Extraconnectivity of \(s\)-geodetic digraphs and graphs. Zbl 0927.05049Balbuena, C. 8 1999 On the super-restricted arc-connectivity of \(s\)-geodetic digraphs. Zbl 1269.05043Balbuena, Camino; García-Vázquez, Pedro; Hansberg, Adriana; Montejano, Luis Pedro 7 2013 On the restricted arc-connectivity of \(s\)-geodetic digraphs. Zbl 1222.05111Balbuena, Camino; García-Vázquez, Pedro 7 2010 Calculating the extremal number \(ex(v;\{C_3,C_4,\dots,C_n\})\). Zbl 1184.05069Tang, Jianmin; Lin, Yuqing; Balbuena, Camino; Miller, Mirka 7 2009 On the girth of extremal graphs without shortest cycles. Zbl 1158.05031Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P. 7 2008 Diameter, short paths and superconnectivity in digraphs. Zbl 1062.05085Marcote, X.; Balbuena, C.; Pelayo, I. 7 2004 Edge-connectivity and super edge-connectivity of \(P_{2}\)-path graphs. Zbl 1021.05061Balbuena, Camino; Ferrero, Daniela 7 2003 The \(k\)-restricted edge-connectivity of a product of graphs. Zbl 1262.05091Balbuena, C.; Marcote, X. 6 2013 Constructions of small regular bipartite graphs of girth 6. Zbl 1210.05075Araujo-Pardo, G.; Balbuena, Camino 6 2011 New families of graphs without short cycles and large size. Zbl 1230.05170Abajo, E.; Balbuena, C.; Diánez, A. 6 2010 Adjacency matrices of polarity graphs and of other \(C_{4}\)-free graphs of large size. Zbl 1214.05075Abreu, M.; Balbuena, C.; Labbate, D. 6 2010 On the connectivity of \((k,g)\)-cages of even girth. Zbl 1155.05038Lin, Yuqing; Balbuena, Camino; Marcote, Xavier; Miller, Mirka 6 2008 On the minimum order of extremal graphs to have a prescribed girth. Zbl 1154.05040Balbuena, C.; García-Vázquez, P. 6 2007 Connectivity of graphs with given girth pair. Zbl 1109.05060Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 6 2007 On the degrees of a strongly vertex-magic graph. Zbl 1176.05070Balbuena, C.; Barker, E.; Das, K. C.; Lin, Y.; Miller, M.; Ryan, J.; Slamin; Sugeng, K.; Tkac, M. 6 2006 Families of small regular graphs of girth 5. Zbl 1248.05169Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. 5 2012 Restricted arc-connectivity of generalized \(p\)-cycles. Zbl 1243.05129Balbuena, C.; García-Vázquez, P.; Hansberg, A.; Montejano, L. P. 5 2012 On the connectivity and superconnected graphs with small diameter. Zbl 1225.05153Balbuena, C.; Marshall, K.; Montejano, L. P. 5 2010 Every cubic cage is quasi 4-connected. Zbl 1024.05053Marcote, X.; Pelayo, I.; Balbuena, C. 5 2003 Total domination edge critical graphs with total domination number three and many dominating pairs. Zbl 1327.05248Balbuena, Camino; Hansberg, Adriana; Haynes, Teresa W.; Henning, Michael A. 4 2015 Structural properties of CKI-digraphs. Zbl 1301.05143Balbuena, C.; Guevara, M.; Olsen, M. 4 2014 A lower bound on the order of regular graphs with given girth pair. Zbl 1122.05051Balbuena, C.; Jiang, T.; Lin, Y.; Marcote, X.; Miller, M. 4 2007 On the superconnectivity of generalized \(p\)-cycles. Zbl 1008.05085Balbuena, C.; Pelayo, I.; Gómez, J. 4 2002 A family of mixed graphs with large order and diameter 2. Zbl 1352.05062Araujo-Pardo, G.; Balbuena, C.; Miller, M.; Ždímalová, M. 3 2017 Locating-dominating sets and identifying codes in graphs of girth at least 5. Zbl 1311.05144Balbuena, Camino; Foucaud, Florent; Hansberg, Adriana 3 2015 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 Diameter and connectivity of \((D; g)\)-cages. Zbl 1220.05068Balbuena, C.; Marcote, X. 3 2011 Kernels and partial line digraphs. Zbl 1193.05083Balbuena, C.; Guevara, M. 3 2010 Superconnectivity of regular graphs with small diameter. Zbl 1184.05074Balbuena, Camino; Tang, Jianmin; Marshall, Kim; Lin, Yuqing 3 2009 A sufficient condition for \(P_{k}\)-path graphs being \(r\)-connected. Zbl 1122.05050Balbuena, C.; García-Vázquez, P. 3 2007 Lower connectivities of regular graphs with small diameter. Zbl 1118.05051Balbuena, C.; Marcote, X. 3 2007 Diameter vulnerability of iterated line digraphs in terms of the girth. Zbl 1067.68099Balbuena, C.; Marcote, X.; Ferrero, D. 3 2005 Edge-connectivity in \(P_k\)-path graphs. Zbl 1057.05047Balbuena, C.; García-Vázquez, P. 3 2004 New small regular graphs of girth 5. Zbl 1362.05064Abajo, E.; Araujo-Pardo, G.; Balbuena, C.; Bendala, M. 2 2017 On the acyclic disconnection and the girth. Zbl 1311.05071Balbuena, Camino; Olsen, Mika 2 2015 A construction of small \((q-1)\)-regular graphs of girth 8. Zbl 1310.05152Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. 2 2015 On the connectivity and restricted edge-connectivity of 3-arc graphs. Zbl 1300.05150Balbuena, C.; García-Vázquez, P.; Montejano, L. P. 2 2014 Biregular cages of girth five. Zbl 1266.05072Abreu, Marién; Araujo-Pardo, Gabriela; Balbuena, Camino; Labbate, Domenico; López-Chávez, Gloria 2 2013 A sufficient condition for kernel perfectness of a digraph in terms of semikernels modulo \(F\). Zbl 1334.05049Balbuena, Camino; Galeana-Sánchez, Hortensia; Guevara, Mucuy-kak 2 2012 On the connectivity of semiregular cages. Zbl 1205.05123Balbuena, C.; González-Moreno, D.; Marcote, X. 2 2010 On \((k,g;\ell )\)-dicages. Zbl 1224.05245Araujo-Pardo, G.; Balbuena, C.; Olsen, M. 2 2009 A construction of small regular bipartite graphs of girth 8. Zbl 1196.05025Balbuena, Camino 2 2009 Diameter-sufficient conditions for a graph to be super-restricted connected. Zbl 1169.05342Balbuena, Camino; Lin, Yuqing; Miller, Mirka 2 2008 Extremal bipartite graphs with high girth. Zbl 1174.05064Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 Trees having an even or quasi even degree sequence are graceful. Zbl 1204.05086Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 Counterexample to a conjecture of Györi on \(C_{2l}\)-free bipartite graphs. Zbl 1124.05050Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 On extremal bipartite graphs with high girth. Zbl 1225.05141García-Vázquez, P.; Balbuena, C.; Marcote, X.; Valenzuela, J. C. 2 2006 On the connectivity of generalized \(p\)-cycles. Zbl 1065.05045Pelayo, I.; Balbuena, C.; Gómez, J. 2 2001 New large graphs with given degree and diameter six. Zbl 0959.90063Gómez, J.; Pelayo, I.; Balbuena, C. 2 1999 Characterizing identifying codes from the spectrum of a graph or digraph. Zbl 1411.05098Balbuena, C.; Dalfó, C.; Martínez-Barona, B. 1 2019 Bounds on the \(k\)-restricted arc connectivity of some bipartite tournaments. Zbl 1427.05095Balbuena, C.; González-Moreno, D.; Olsen, M. 1 2018 Rainbow connectivity of Moore cages of girth 6. Zbl 1398.05118Balbuena, C.; Fresán-Figueroa, J.; González-Moreno, D.; Olsen, M. 1 2018 Vertex disjoint 4-cycles in bipartite tournaments. Zbl 1380.05084Balbuena, C.; González-Moreno, D.; Olsen, M. 1 2018 Relation between number of kernels (and generalizations) of a digraph and its partial line digraphs. Zbl 1356.05060Guevara, Mucuy-kak; Balbuena, Camino; Galeana-Sánchez, Hortensia 1 2016 A construction of dense mixed graphs of diameter 2. Zbl 1356.05076Araujo-Pardo, C.; Balbuena, C.; Miller, M.; Ždímalová, M. 1 2016 Small regular graphs of girth 7. Zbl 1327.05163Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D.; Salas, J. 1 2015 On the order of graphs with a given girth pair. Zbl 1281.05051Balbuena, C.; Salas, J. 1 2014 On bi-regular cages of even girth at least 8. Zbl 1278.05128Araujo-Pardo, G.; Balbuena, C.; López-Chávez, G.; Montejano, L. 1 2013 A note on the upper bound and girth pair of (\(k;g\))-cages. Zbl 1262.05089Balbuena, C.; González-Moreno, D.; Montellano-Ballesteros, J. J. 1 2013 Girth of \(\{C_3, \ldots, C_s\}\)-free extremal graphs. Zbl 1243.05118Abajo, E.; Balbuena, C.; Diánez, A. 1 2012 Monotonicity of the order of \((D;g)\)-cages. Zbl 1234.05060Balbuena, C.; Marcote, X. 1 2011 On the \(\lambda ^{\prime}\)-optimality in graphs with odd girth \(g\) and even girth \(h\). Zbl 1223.05150Balbuena, C.; García-Vázquez, P.; Montejano, L. P.; Salas, J. 1 2011 Partial linear spaces and identifying codes. Zbl 1213.05041Araujo-Pardo, G.; Balbuena, C.; Montejano, L.; Valenzuela, J. C. 1 2011 Superconnectivity of graphs with odd girth \(g\) and even girth \(h\). Zbl 1203.05081Balbuena, C.; García-Vázquez, P.; Montejano, L. P. 1 2011 Some properties of semiregular cages. Zbl 1280.05109Balbuena, Camino; Marcote, Xavier; González-Moreno, Diego 1 2010 New results on the Zarankiewicz problem. Zbl 1123.05050Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 1 2007 New exact values of the maximum size of graphs free of topological complete subgraphs. Zbl 1122.05044Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P. 1 2007 Consecutive magic graphs. Zbl 1104.05063Balbuena, C.; Barker, E.; Lin, Yuqing; Miller, M.; Sugeng, K. 1 2006 Connectedness of digraphs and graphs under constraints on the conditional diameter. Zbl 1066.68098Marcote, X.; Balbuena, C.; Fàbrega, J. 1 2005 Diameter vulnerability of GC graphs. Zbl 1020.05038Gómez, J.; Pelayo, I.; Balbuena, C. 1 2003 Using a progressive withdrawal procedure to study superconnectivity in digraphs. Zbl 1025.05038Pelayo, I.; Marcote, X.; Balbuena, C.; Fàbrega, J. 1 2003 Characterizing identifying codes from the spectrum of a graph or digraph. Zbl 1411.05098Balbuena, C.; Dalfó, C.; Martínez-Barona, B. 1 2019 Bounds on the \(k\)-restricted arc connectivity of some bipartite tournaments. Zbl 1427.05095Balbuena, C.; González-Moreno, D.; Olsen, M. 1 2018 Rainbow connectivity of Moore cages of girth 6. Zbl 1398.05118Balbuena, C.; Fresán-Figueroa, J.; González-Moreno, D.; Olsen, M. 1 2018 Vertex disjoint 4-cycles in bipartite tournaments. Zbl 1380.05084Balbuena, C.; González-Moreno, D.; Olsen, M. 1 2018 A family of mixed graphs with large order and diameter 2. Zbl 1352.05062Araujo-Pardo, G.; Balbuena, C.; Miller, M.; Ždímalová, M. 3 2017 New small regular graphs of girth 5. Zbl 1362.05064Abajo, E.; Araujo-Pardo, G.; Balbuena, C.; Bendala, M. 2 2017 Relation between number of kernels (and generalizations) of a digraph and its partial line digraphs. Zbl 1356.05060Guevara, Mucuy-kak; Balbuena, Camino; Galeana-Sánchez, Hortensia 1 2016 A construction of dense mixed graphs of diameter 2. Zbl 1356.05076Araujo-Pardo, C.; Balbuena, C.; Miller, M.; Ždímalová, M. 1 2016 Total domination edge critical graphs with total domination number three and many dominating pairs. Zbl 1327.05248Balbuena, Camino; Hansberg, Adriana; Haynes, Teresa W.; Henning, Michael A. 4 2015 Locating-dominating sets and identifying codes in graphs of girth at least 5. Zbl 1311.05144Balbuena, Camino; Foucaud, Florent; Hansberg, Adriana 3 2015 On the acyclic disconnection and the girth. Zbl 1311.05071Balbuena, Camino; Olsen, Mika 2 2015 A construction of small \((q-1)\)-regular graphs of girth 8. Zbl 1310.05152Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. 2 2015 Small regular graphs of girth 7. Zbl 1327.05163Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D.; Salas, J. 1 2015 Structural properties of CKI-digraphs. Zbl 1301.05143Balbuena, C.; Guevara, M.; Olsen, M. 4 2014 On the connectivity and restricted edge-connectivity of 3-arc graphs. Zbl 1300.05150Balbuena, C.; García-Vázquez, P.; Montejano, L. P. 2 2014 On the order of graphs with a given girth pair. Zbl 1281.05051Balbuena, C.; Salas, J. 1 2014 On the super-restricted arc-connectivity of \(s\)-geodetic digraphs. Zbl 1269.05043Balbuena, Camino; García-Vázquez, Pedro; Hansberg, Adriana; Montejano, Luis Pedro 7 2013 The \(k\)-restricted edge-connectivity of a product of graphs. Zbl 1262.05091Balbuena, C.; Marcote, X. 6 2013 Large vertex-transitive graphs of diameter 2 from incidence graphs of biaffine planes. Zbl 1277.05049Balbuena, C.; Miller, M.; Širáň, J.; Ždímalová, M. 3 2013 Biregular cages of girth five. Zbl 1266.05072Abreu, Marién; Araujo-Pardo, Gabriela; Balbuena, Camino; Labbate, Domenico; López-Chávez, Gloria 2 2013 On bi-regular cages of even girth at least 8. Zbl 1278.05128Araujo-Pardo, G.; Balbuena, C.; López-Chávez, G.; Montejano, L. 1 2013 A note on the upper bound and girth pair of (\(k;g\))-cages. Zbl 1262.05089Balbuena, C.; González-Moreno, D.; Montellano-Ballesteros, J. J. 1 2013 Families of small regular graphs of girth 5. Zbl 1248.05169Abreu, M.; Araujo-Pardo, G.; Balbuena, C.; Labbate, D. 5 2012 Restricted arc-connectivity of generalized \(p\)-cycles. Zbl 1243.05129Balbuena, C.; García-Vázquez, P.; Hansberg, A.; Montejano, L. P. 5 2012 A sufficient condition for kernel perfectness of a digraph in terms of semikernels modulo \(F\). Zbl 1334.05049Balbuena, Camino; Galeana-Sánchez, Hortensia; Guevara, Mucuy-kak 2 2012 Girth of \(\{C_3, \ldots, C_s\}\)-free extremal graphs. Zbl 1243.05118Abajo, E.; Balbuena, C.; Diánez, A. 1 2012 Constructions of small regular bipartite graphs of girth 6. Zbl 1210.05075Araujo-Pardo, G.; Balbuena, Camino 6 2011 Diameter and connectivity of \((D; g)\)-cages. Zbl 1220.05068Balbuena, C.; Marcote, X. 3 2011 Monotonicity of the order of \((D;g)\)-cages. Zbl 1234.05060Balbuena, C.; Marcote, X. 1 2011 On the \(\lambda ^{\prime}\)-optimality in graphs with odd girth \(g\) and even girth \(h\). Zbl 1223.05150Balbuena, C.; García-Vázquez, P.; Montejano, L. P.; Salas, J. 1 2011 Partial linear spaces and identifying codes. Zbl 1213.05041Araujo-Pardo, G.; Balbuena, C.; Montejano, L.; Valenzuela, J. C. 1 2011 Superconnectivity of graphs with odd girth \(g\) and even girth \(h\). Zbl 1203.05081Balbuena, C.; García-Vázquez, P.; Montejano, L. P. 1 2011 Edge fault tolerance analysis of super \(k\)-restricted connected networks. Zbl 1220.05067Balbuena, C.; García-Vázquez, P. 9 2010 Finding small regular graphs of girths 6, 8 and 12 as subgraphs of cages. Zbl 1205.05064Araujo-Pardo, G.; Balbuena, C.; Héger, T. 8 2010 On the restricted arc-connectivity of \(s\)-geodetic digraphs. Zbl 1222.05111Balbuena, Camino; García-Vázquez, Pedro 7 2010 New families of graphs without short cycles and large size. Zbl 1230.05170Abajo, E.; Balbuena, C.; Diánez, A. 6 2010 Adjacency matrices of polarity graphs and of other \(C_{4}\)-free graphs of large size. Zbl 1214.05075Abreu, M.; Balbuena, C.; Labbate, D. 6 2010 On the connectivity and superconnected graphs with small diameter. Zbl 1225.05153Balbuena, C.; Marshall, K.; Montejano, L. P. 5 2010 Kernels and partial line digraphs. Zbl 1193.05083Balbuena, C.; Guevara, M. 3 2010 On the connectivity of semiregular cages. Zbl 1205.05123Balbuena, C.; González-Moreno, D.; Marcote, X. 2 2010 Some properties of semiregular cages. Zbl 1280.05109Balbuena, Camino; Marcote, Xavier; González-Moreno, Diego 1 2010 On the 3-restricted edge connectivity of permutation graphs. Zbl 1172.05036Balbuena, C.; González-Moreno, D.; Marcote, X. 9 2009 Constructions of bi-regular cages. Zbl 1229.05129Araujo-Pardo, G.; Balbuena, C.; Valenzuela, J. C. 9 2009 Calculating the extremal number \(ex(v;\{C_3,C_4,\dots,C_n\})\). Zbl 1184.05069Tang, Jianmin; Lin, Yuqing; Balbuena, Camino; Miller, Mirka 7 2009 Superconnectivity of regular graphs with small diameter. Zbl 1184.05074Balbuena, Camino; Tang, Jianmin; Marshall, Kim; Lin, Yuqing 3 2009 On \((k,g;\ell )\)-dicages. Zbl 1224.05245Araujo-Pardo, G.; Balbuena, C.; Olsen, M. 2 2009 A construction of small regular bipartite graphs of girth 8. Zbl 1196.05025Balbuena, Camino 2 2009 Diameter-girth sufficient conditions for optimal extraconnectivity in graphs. Zbl 1172.05035Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 14 2008 Incidence matrices of projective planes and of some regular bipartite graphs of girth 6 with few vertices. Zbl 1229.05130Balbuena, C. 13 2008 On the order of \((\{r,m\};g)\)-cages of even girth. Zbl 1151.05024Araujo-Pardo, G.; Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 8 2008 On the girth of extremal graphs without shortest cycles. Zbl 1158.05031Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P. 7 2008 On the connectivity of \((k,g)\)-cages of even girth. Zbl 1155.05038Lin, Yuqing; Balbuena, Camino; Marcote, Xavier; Miller, Mirka 6 2008 Diameter-sufficient conditions for a graph to be super-restricted connected. Zbl 1169.05342Balbuena, Camino; Lin, Yuqing; Miller, Mirka 2 2008 On the restricted connectivity and superconnectivity in graphs with given girth. Zbl 1111.05053Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 18 2007 On the connectivity of cages with girth five, six and eight. Zbl 1118.05054Marcote, X.; Balbuena, C.; Pelayo, I. 12 2007 On the edge-connectivity and restricted edge-connectivity of a product of graphs. Zbl 1127.05058Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 9 2007 On the minimum order of extremal graphs to have a prescribed girth. Zbl 1154.05040Balbuena, C.; García-Vázquez, P. 6 2007 Connectivity of graphs with given girth pair. Zbl 1109.05060Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 6 2007 A lower bound on the order of regular graphs with given girth pair. Zbl 1122.05051Balbuena, C.; Jiang, T.; Lin, Y.; Marcote, X.; Miller, M. 4 2007 A sufficient condition for \(P_{k}\)-path graphs being \(r\)-connected. Zbl 1122.05050Balbuena, C.; García-Vázquez, P. 3 2007 Lower connectivities of regular graphs with small diameter. Zbl 1118.05051Balbuena, C.; Marcote, X. 3 2007 Extremal bipartite graphs with high girth. Zbl 1174.05064Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 Trees having an even or quasi even degree sequence are graceful. Zbl 1204.05086Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 Counterexample to a conjecture of Györi on \(C_{2l}\)-free bipartite graphs. Zbl 1124.05050Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 2 2007 New results on the Zarankiewicz problem. Zbl 1123.05050Balbuena, C.; García-Vázquez, P.; Marcote, X.; Valenzuela, J. C. 1 2007 New exact values of the maximum size of graphs free of topological complete subgraphs. Zbl 1122.05044Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P. 1 2007 Sufficient conditions for \(\lambda'\)-optimality in graphs with girth \(g\). Zbl 1089.05024Balbuena, C.; García-Vázquez, P.; Marcote, X. 43 2006 All \((k;g)\)-cages are edge-superconnected. Zbl 1087.05034Lin, Yuqing; Miller, Mirka; Balbuena, C.; Marcote, X. 9 2006 Reliability of interconnection networks modeled by a product of graphs. Zbl 1108.05053Balbuena, C.; García-Vázquez, P.; Marcote, X. 8 2006 On the degrees of a strongly vertex-magic graph. Zbl 1176.05070Balbuena, C.; Barker, E.; Das, K. C.; Lin, Y.; Miller, M.; Ryan, J.; Slamin; Sugeng, K.; Tkac, M. 6 2006 On extremal bipartite graphs with high girth. Zbl 1225.05141García-Vázquez, P.; Balbuena, C.; Marcote, X.; Valenzuela, J. C. 2 2006 Consecutive magic graphs. Zbl 1104.05063Balbuena, C.; Barker, E.; Lin, Yuqing; Miller, M.; Sugeng, K. 1 2006 On restricted connectivities of permutation graphs. Zbl 1078.05050Balbuena, C.; Marcote, X.; García-Vázquez, P. 19 2005 (\(\delta ,g\))-cages with \(g\geqslant 10\) are 4-connected. Zbl 1079.05049Marcote, X.; Balbuena, C.; Pelayo, I.; Fàbrega, J. 13 2005 Sufficient conditions for \(\lambda ^{\prime}\)-optimality of graphs with small conditional diameter. Zbl 1185.68081Balbuena, C.; Cera, M.; Diánez, A.; García-Vázquez, P.; Marcote, X. 12 2005 Improved lower bound for the vertex connectivity of \((\delta ;g)\)-cages. Zbl 1080.05053Lin, Yuqing; Miller, Mirka; Balbuena, Camino 11 2005 Diameter vulnerability of iterated line digraphs in terms of the girth. Zbl 1067.68099Balbuena, C.; Marcote, X.; Ferrero, D. 3 2005 Connectedness of digraphs and graphs under constraints on the conditional diameter. Zbl 1066.68098Marcote, X.; Balbuena, C.; Fàbrega, J. 1 2005 Edge-superconnectivity of cages. Zbl 1031.05078Marcote, X.; Balbuena, C. 8 2004 Diameter, short paths and superconnectivity in digraphs. Zbl 1062.05085Marcote, X.; Balbuena, C.; Pelayo, I. 7 2004 Edge-connectivity in \(P_k\)-path graphs. Zbl 1057.05047Balbuena, C.; García-Vázquez, P. 3 2004 Edge-connectivity and super edge-connectivity of \(P_{2}\)-path graphs. Zbl 1021.05061Balbuena, Camino; Ferrero, Daniela 7 2003 Every cubic cage is quasi 4-connected. Zbl 1024.05053Marcote, X.; Pelayo, I.; Balbuena, C. 5 2003 Diameter vulnerability of GC graphs. Zbl 1020.05038Gómez, J.; Pelayo, I.; Balbuena, C. 1 2003 Using a progressive withdrawal procedure to study superconnectivity in digraphs. Zbl 1025.05038Pelayo, I.; Marcote, X.; Balbuena, C.; Fàbrega, J. 1 2003 Superconnected digraphs and graphs with small conditional diameters. Zbl 0999.05048Balbuena, C.; Fàbrega, J.; Marcote, X.; Pelayo, I. 8 2002 On the superconnectivity of generalized \(p\)-cycles. Zbl 1008.05085Balbuena, C.; Pelayo, I.; Gómez, J. 4 2002 On the connectivity and superconnectivity of bipartite digraphs and graphs. Zbl 1071.05544Balbuena, C.; Carmona, A. 10 2001 On the connectivity of generalized \(p\)-cycles. Zbl 1065.05045Pelayo, I.; Balbuena, C.; Gómez, J. 2 2001 Superconnectivity of bipartite digraphs and graphs. Zbl 0933.05089Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 15 1999 Extraconnectivity of \(s\)-geodetic digraphs and graphs. Zbl 0927.05049Balbuena, C. 8 1999 New large graphs with given degree and diameter six. Zbl 0959.90063Gómez, J.; Pelayo, I.; Balbuena, C. 2 1999 Extraconnectivity of graphs with large minimum degree and girth. Zbl 0874.05033Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 19 1997 On the connectivity and the conditional diameter of graphs and digraphs. Zbl 0865.90047Balbuena, C.; Carmona, A.; Fàbrega, J.; Fiol, M. A. 17 1996 all cited Publications top 5 cited Publications all top 5 Cited by 263 Authors 73 Balbuena, Camino 24 García-Vázquez, Pedro 24 Marcote, Xavier 20 Wang, Shiying 15 Araujo-Pardo, Gabriela 14 Lin, Yuqing 14 Miller, Mirka 12 Diánez, Ana 12 Montejano, Luis Pedro 11 Abajo, E. 11 Lin, Shangwei 10 Zhang, Zhao 9 Olsen, Mika 8 González-Moreno, Diego 8 Meng, Jixiang 8 Volkmann, Lutz 7 Galeana-Sánchez, Hortensia 7 Liu, Qinghai 7 Ou, Jianping 7 Valenzuela Tripodoro, Juan Carlos 6 Cera, Martín 6 Fàbrega, Josep 6 Salas, Julian 5 Guo, Yubao 5 Holtkamp, Andreas 5 Hong, Yanmei 5 Zhang, Lei 4 Bendala, M. 4 Cheng, Eddie 4 Guevara, Mucuy-kak 4 Liu, Aixia 4 Pelayo, Ignacio M. 4 Yi, Eunjeong 4 Yuan, Jun 4 Ždímalová, Mária 3 Abreu, Marién 3 Dankelmann, Peter 3 Fiol, Miquel Angel 3 Hansberg, Adriana 3 Labbate, Domenico 3 Li, Chunfang 3 Lipták, László 3 Llado, Anna S. 3 Lu, Hongliang 3 Marshall, Kim 3 Pérez-Rosés, Hebert 3 Tang, Jianmin 3 Wu, Yunjian 3 Xu, Junming 3 Yu, Qinglin 2 Chen, Guoliang 2 Chen, Xing 2 Cheng, Minquan 2 Exoo, Geoffrey 2 Feng, Yanquan 2 Ferrero, Daniela 2 Fresán-Figueroa, Julián 2 Fu, Hunglin 2 Garriga, E. 2 Gomez, Jose 2 Gómez, Jose Patricio 2 Grüter, Steffen 2 Guo, Litao 2 Hamidoune, Yahya Ould 2 Hao, Rongxia 2 Haynes, Teresa W. 2 Hellwig, Angelika 2 Hernández-Cruz, César 2 Hsieh, Sun-Yuan 2 Huang, Xiaohui 2 Jajcay, Robert 2 Jiang, Jing 2 Klavžar, Sandi 2 Kumar, Gurunathan 2 Li, Jing 2 Liu, Juan 2 Lo, Yuan-Hsun 2 López, Susana-Clara 2 Lu, Min 2 Marimuthu, Gurusamy Thevar 2 Meierling, Dirk 2 Miao, Ying 2 Montellano-Ballesteros, Juan José 2 Pineda-Villavicencio, Guillermo 2 Qiu, Ke 2 Rodriguez, Joel Arturo 2 Sau, Ignasi 2 Shen, Zhizhang 2 Tian, Yingzhi 2 Wang, Meiyu 2 Wang, Ruixia 2 Wu, Jichang 2 Yang, Chao 2 Yang, Yuxing 2 Yebra, J. Luis Andres 2 Zhou, Jinxin 2 Zhou, Sanming 2 Zhou, Shuming 1 Ahadi, Arash 1 Ali, Gohar ...and 163 more Authors all top 5 Cited in 37 Serials 48 Discrete Mathematics 45 Discrete Applied Mathematics 19 Networks 12 Graphs and Combinatorics 11 Information Processing Letters 11 Theoretical Computer Science 10 Applied Mathematics and Computation 8 Applied Mathematics Letters 6 Information Sciences 5 Designs, Codes and Cryptography 5 International Journal of Computer Mathematics 4 Journal of Graph Theory 4 Discussiones Mathematicae. Graph Theory 4 Acta Mathematica Sinica. English Series 2 Linear and Multilinear Algebra 2 Journal of Combinatorial Theory. Series B 2 Journal of Computer and System Sciences 2 European Journal of Combinatorics 2 International Journal of Foundations of Computer Science 2 The Australasian Journal of Combinatorics 2 Discrete Mathematics, Algorithms and Applications 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Applied Mathematics. Series B (English Edition) 1 Journal of Combinatorial Designs 1 Constraints 1 Taiwanese Journal of Mathematics 1 Journal of Combinatorial Optimization 1 Journal of Discrete Mathematical Sciences & Cryptography 1 Journal of Applied Mathematics 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Journal of Applied Mathematics and Computing 1 AKCE International Journal of Graphs and Combinatorics 1 Mathematics in Computer Science 1 Ars Mathematica Contemporanea 1 Communications in Combinatorics and Optimization 1 The Art of Discrete and Applied Mathematics all top 5 Cited in 8 Fields 233 Combinatorics (05-XX) 34 Computer science (68-XX) 6 Information and communication theory, circuits (94-XX) 5 Geometry (51-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Operations research, mathematical programming (90-XX) 1 Group theory and generalizations (20-XX) 1 Numerical analysis (65-XX) Citations by Year