Edit Profile Richter, Robert Bruce Compute Distance To: Compute Author ID: richter.r-bruce Published as: Bruce Richter, R.; Richter, Bruce; Richter, Bruce R.; Richter, R.; Richter, R. B.; Richter, R. Bruce; Richter, Robert Homepage: http://www.math.uwaterloo.ca/~brichter/ External Links: MGP · Wikidata · ORCID · dblp Documents Indexed: 141 Publications since 1984, including 1 Book all top 5 Co-Authors 18 single-authored 13 Salazar, Gelasio 9 Zweig Chinn, Phyllis 9 McQuillan, Dan 9 Širáň, Jozef 8 Cvetič, Mirjam 8 Thomassen, Carsten 6 Archdeacon, Dan Steven 5 Anastasopoulos, Pascal 5 Christian, Robin 5 Gao, Zhicheng 5 Rooney, Brendan 5 Truszczyński, Mirosław 4 Arroyo, Alan 4 Brunet, Richard 4 Shank, Herbert S. 4 Wardlaw, William P. 3 Anderson, Mark S. 3 Bonnington, C. Paul 3 Farrugia, Alastair 3 Pan, Shengjun 3 Seymour, Paul D. 3 Weigand, Timo 2 Bianchi, Massimo 2 de Figueiredo, Celina M. Herrera 2 Dean, Alice M. 2 Faria, Luerbio 2 Halberstam, Fay Y. 2 Halverson, James 2 Luiz, Atílio G. 2 Lüst, Dieter 2 Mihók, Peter 2 Mohar, Bojan 2 Pinontoan, Benny 2 Rodney, Peter 2 Schellekens, A. N. 2 Semanišin, Gabriel 2 Thoelecke, Paul A. 2 Vrto, Imrich 2 Watkins, Mark E. 2 Yu, Xingxing 1 Ábrego, Bernardo Manuel 1 Adamsson, Jay 1 Aichholzer, Oswin 1 Bailey, Craig K. 1 Balamohan, Balasingham 1 Balogh, József 1 Benard, Dominique 1 Blumenhagen, Ralph 1 Bokal, Drago 1 Bouchet, André 1 Bowler, Nathan 1 Buhler, Joe P. 1 Campos, C. N. 1 Casteels, Karel 1 Cunningham, Bill 1 de Klerk, Etienne 1 Ellingham, Mark Norman 1 Farber, Martin 1 Fernández-Merchant, Silvia 1 Fiedler, J. R. 1 García-Etxebarria, Iñaki 1 Geelen, James F. 1 Geelen, Jim 1 Goddyn, Luis A. 1 Griggs, Terry S. 1 Gustafson, William H. 1 Haxell, Penny E. 1 Hoffman, Dean G. 1 Hoffman, Peter N. 1 Huneke, John Philip 1 Hutchinson, Joan P. 1 Huynh, Tony 1 Jajcay, Robert 1 Kauffman, Louis Hirsch 1 Keir, Jennifer 1 Kidwell, Mark Elliot 1 Klešč, Marián 1 Kündgen, André 1 Langacker, Paul 1 Leanos, Jesus 1 Lee, Orlando 1 Leontaris, George K. 1 Lins, Sóstenes L. 1 Lipman, Drew J. 1 Lopez, Luca 1 Maharry, John 1 Mayr, Peter 1 Metzlar, Alice 1 Mutzel, Petra 1 Ok, Seongmin 1 Oporowski, Bogdan 1 Pasechnik, Dmitrii V. 1 Ramos, Pedro A. 1 Regener, Eric 1 Richmond, Bruce 1 Robertson, Neil 1 Robinson, Donald W. 1 Silva, André C. 1 Škoviera, Martin 1 Stieberger, Stephan ...and 11 more Co-Authors all top 5 Serials 31 Journal of Graph Theory 20 Journal of Combinatorial Theory. Series B 9 Journal of High Energy Physics 8 Discrete Mathematics 7 The Australasian Journal of Combinatorics 6 American Mathematical Monthly 4 Congressus Numerantium 4 The Electronic Journal of Combinatorics 3 Ars Combinatoria 3 Combinatorica 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 2 Nuclear Physics. B 2 European Journal of Combinatorics 2 Graphs and Combinatorics 2 SIAM Journal on Discrete Mathematics 2 Discussiones Mathematicae. Graph Theory 1 Discrete Applied Mathematics 1 Journal of Combinatorial Theory. Series A 1 Transactions of the American Mathematical Society 1 Advances in Applied Mathematics 1 Discrete & Computational Geometry 1 Aequationes Mathematicae 1 Linear Algebra and its Applications 1 Journal of Knot Theory and its Ramifications 1 Bulletin of the Institute of Combinatorics and its Applications 1 Physical Review Letters 1 Contemporary Mathematics 1 Ars Mathematica Contemporanea 1 Journal of Combinatorics all top 5 Fields 117 Combinatorics (05-XX) 14 Quantum theory (81-XX) 9 Manifolds and cell complexes (57-XX) 5 Algebraic geometry (14-XX) 5 Convex and discrete geometry (52-XX) 5 Computer science (68-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 3 Relativity and gravitational theory (83-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 General topology (54-XX) 1 General and overarching topics; collections (00-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Group theory and generalizations (20-XX) 1 Partial differential equations (35-XX) 1 Algebraic topology (55-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 105 Publications have been cited 783 times in 524 Documents Cited by ▼ Year ▼ Scattering of gauge, matter, and moduli fields from intersecting branes. Zbl 1236.81167Lüst, D.; Mayr, P.; Richter, R.; Stieberger, S. 62 2004 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 42 2005 Nonperturbative Yukawa couplings from string instantons. Zbl 1228.81224Blumenhagen, Ralph; Cvetič, Mirjam; Lüst, Dieter; Richter, Robert; Weigand, Timo 37 2008 Computing the orientable genus of projective graphs. Zbl 0837.05051Fiedler, J. R.; Huneke, John P.; Richter, R. B.; Robertson, N. 27 1995 The crossing number of \(K_{11}\) is 100. Zbl 1128.05018Pan, Shengjun; Richter, R. Bruce 24 2007 Intersections of curve systems and the crossing number of \(C_ 5\times C_ 5\). Zbl 0820.05015Richter, R. B.; Thomassen, C. 21 1995 Improved bounds for the crossing numbers of \(K_{m,n}\) and \(K_{n}\). Zbl 1111.05029de Klerk, E.; Maharry, J.; Pasechnik, D. V.; Richter, R. B.; Salazar, G. 20 2006 2-walks in circuit graphs. Zbl 0807.05027Gao, Zhicheng; Richter, R. Bruce 17 1994 String constraints on discrete symmetries in MSSM type II quivers. Zbl 1342.81390Anastasopoulos, Pascal; Cvetič, Mirjam; Richter, Robert; Vaudrevange, Patrick K. S. 15 2013 The Weinberg operator and a lower string scale in orientifold compactifications. Zbl 1291.81306Cvetič, Mirjam; Halverson, James; Langacker, Paul; Richter, Robert 15 2010 Cycle spaces in topological spaces. Zbl 1159.05017Vella, Antoine; Richter, R. Bruce 15 2008 Relations between crossing numbers of complete and complete bipartite graphs. Zbl 0872.05010Richter, R. Bruce; Thomassen, Carsten 15 1997 Minimal graphs with crossing number at least \(k\). Zbl 0733.05035Richter, Bruce R.; Thomassen, Carsten 15 1993 Colouring Eulerian triangulations. Zbl 1025.05015Hutchinson, Joan; Richter, R. Bruce; Seymour, Paul 14 2002 3-connected planar spaces uniquely embed in the sphere. Zbl 1010.57002Richter, R. Bruce; Thomassen, Carsten 14 2002 The construction and classification of self-dual spherical polyhedra. Zbl 0696.52006Archdeacon, Dan; Richter, R. Bruce 14 1990 On stable higher spin states in heterotic string theories. Zbl 1301.81187Bianchi, Massimo; Lopez, Luca; Richter, Robert 12 2011 Mass hierarchies from MSSM orientifold compactifications. Zbl 1290.81201Cvetič, Mirjam; Halverson, James; Richter, Robert 12 2010 Separating and nonseparating disjoint homotopic cycles in graph embeddings. Zbl 0855.05048Brunet, Richard; Mohar, Bojan; Richter, R. Bruce 12 1996 Spanning planar subgraphs of graphs in the torus and Klein bottle. Zbl 0837.05049Brunet, Richard; Ellingham, Mark N.; Gao, Zhicheng; Metzlar, Alice; Richter, R. Bruce 12 1995 The crossing number of \(C_ 4\times C_ 4\). Zbl 0813.05018Dean, Alice M.; Richter, R. Bruce 12 1995 The Gauss code problem off the plane. Zbl 0591.05024Lins, S.; Richter, R. Bruce; Shank, Herbert S. 12 1987 Branes and instantons intersecting at angles. Zbl 1269.81118Cvetič, Mirjam; García-Etxebarria, Iñaki; Richter, Robert 11 2010 Proton decay via dimension-six operators in intersecting D6-brane models. Zbl 1116.81356Cvetič, Mirjam; Richter, Robert 11 2007 The crossing number of \(C_ 5\times C_ n\). Zbl 0854.05036Klešč, Marián; Richter, R. Bruce; Stobert, Ian 11 1996 On the crossing numbers of certain generalized Petersen graphs. Zbl 0756.05048McQuillan, Dan; Richter, R. Bruce 11 1992 Embedding grids in surfaces. Zbl 1050.05035Geelen, J. F.; Richter, R. B.; Salazar, G. 10 2004 Branched coverings of maps and lifts of map homomorphisms. Zbl 0804.05025Archdeacon, Dan; Richter, R. Bruce; Širáň, Jozef; Škoviera, Martin 10 1994 SU(5) D-brane realizations, Yukawa couplings and proton stability. Zbl 1294.81308Anastasopoulos, P.; Leontaris, G. K.; Richter, R.; Schellekens, A. N. 9 2010 Crossing numbers of sequences of graphs. I: General tiles. Zbl 1053.05036Pinontoan, Benny; Richter, R. Bruce 9 2004 Graphs embedded in the plane with a bounded number of accumulation points. Zbl 1030.05032Bonnington, C. Paul; Richter, R. Bruce 9 2003 Crossing numbers of sequences of graphs. II: Planar tiles. Zbl 1017.05037Pinontoan, Benny; Richter, R. Bruce 9 2003 The crossing number of \(P(N,3)\). Zbl 0999.05022Richter, R. Bruce; Salazar, Gelasio 9 2002 Edge-disjoint spanning trees: A connectedness theorem. Zbl 0583.05023Farber, M.; Richter, R. Bruce; Shank, Herbert S. 9 1985 Zarankiewicz’s conjecture is finite for each fixed \(m\). Zbl 1262.05030Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 8 2013 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 8 2007 Arrangements, circular arrangements and the crossing number of \(C_{7} \times C_{n}\). Zbl 1033.05026Adamsson, Jay; Richter, R. Bruce 8 2004 The cycle space of an embedded graph. Zbl 0547.05028Richter, R. Bruce; Shank, Herbert S. 8 1984 Light stringy states. Zbl 1309.81191Anastasopoulos, Pascal; Bianchi, Massimo; Richter, Robert 7 2012 The planarity theorems of MacLane and Whitney for graph-like continua. Zbl 1221.05076Christian, Robin; Richter, R. Bruce; Rooney, Brendan 7 2010 The bond and cycle spaces of an infinite graph. Zbl 1229.05091Casteels, Karel; Richter, R. Bruce 7 2008 Hamiltonicity of 5-connected toroidal triangulations. Zbl 0841.05061Brunet, Richard; Richter, R. Bruce 7 1995 Embedding graphs in surfaces. Zbl 0514.05028Hoffman, Peter; Richter, Bruce 7 1984 Characterizing 2-crossing-critical graphs. Zbl 1330.05047Bokal, D.; Oporowski, B.; Richter, R. B.; Salazar, G. 6 2016 A polynomial invariant for flat virtual links. Zbl 1147.57017Kauffman, Louis H.; Richter, R. Bruce 6 2008 The crossing number of \(C_6\times C_n\). Zbl 0972.05015Richter, R. Bruce; Salazar, Gelasio 6 2001 The crossing number of \(C_7\times C_7\). Zbl 0894.05012Anderson, Mark; Richter, R. Bruce; Rodney, Peter 6 1997 The crossing number of \(C_6\times C_6\). Zbl 0896.05032Anderson, Mark; Richter, R. Bruce; Rodney, Peter 6 1996 Irreducible triangulations of surfaces. Zbl 0863.05029Gao, Z.; Richter, R. B.; Seymour, P. D. 6 1996 2-walks in 3-connected planar graphs. Zbl 0837.05050Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 6 1995 Circular embedding of planar graphs in nonspherical surfaces. Zbl 0798.05020Richter, R. B.; Seymour, P. D.; Širáň, J. 6 1994 Cubic graphs with crossing number two. Zbl 0659.05044Richter, Bruce 6 1988 On the crossing number of \(K_{13}\). Zbl 1319.05045McQuillan, Dan; Pan, Shengjun; Richter, R. Bruce 5 2015 Crossing numbers. Zbl 1197.05036Richter, R. Bruce; Salazar, G. 5 2009 Diagonalization over commutative rings. Zbl 0737.15007Richter, R. Bruce; Wardlaw, William P. 5 1990 On the parity of crossing numbers. Zbl 0659.05043Archdeacon, Dan; Richter, R. Bruce 5 1988 Walks through every edge exactly twice. II. Zbl 0876.05022Keir, Jennifer; Richter, Bruce 4 1996 On the non-orientable genus of a 2-connected graph. Zbl 0591.05026Richter, R. Bruce 4 1987 Explicit bounds for graph minors. Zbl 1391.05243Geelen, Jim; Huynh, Tony; Bruce Richter, R. 3 2018 On the crossing number of \(K_n\) without computer assistance. Zbl 1342.05091McQuillan, Dan; Richter, R. Bruce 3 2016 Discrete symmetries from hidden sectors. Zbl 1388.81232Anastasopoulos, Pascal; Richter, Robert; Schellekens, A. N. 3 2015 On planarity of compact, locally connected, metric spaces. Zbl 1249.05080Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 3 2011 Unique factorisation of additive induced-hereditary properties. Zbl 1061.05070Farrugia, Alastair; Richter, R. Bruce 3 2004 On essential and inessential polygons in embedded graphs. Zbl 1025.05016Richter, R. Bruce; Vitray, R. P. 3 2002 Self-dual Cayley maps. Zbl 0947.05020Anderson, Mark S.; Richter, R. Bruce 3 2000 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 3 1996 Walks through every edge exactly twice. Zbl 0809.05040Richter, R. Bruce 3 1994 On the Euler genus of a 2-connected graph. Zbl 0591.05025Richter, R. Bruce 3 1987 Group-colouring, group-connectivity, claw-decompositions, and orientations in 5-edge-connected planar graphs. Zbl 1360.05066Richter, R. Bruce; Thomassen, Carsten; Younger, Daniel H. 2 2016 On 2-factors with long cycles in cubic graphs. Zbl 1236.05115Kündgen, André; Richter, R. Bruce 2 2011 A parity theorem for drawings of complete and complete. Zbl 1210.05112McQuillan, Dan; Richter, R. Bruce 2 2010 Two maps with large representativity on one surface. Zbl 1080.05025Richter, R. Bruce; Salazar, Gelasio 2 2005 Factorizations and characterizations of induced-hereditary and compositive properties. Zbl 1067.05057Farrugia, Alastair; Mihók, Peter; Richter, R. Bruce; Semanišin, Gabriel 2 2005 Decomposing infinite 2-connected graphs into 3-connected components. Zbl 1058.05053Richter, R. Bruce 2 2004 Good matrices: Matrices that preserve ideals. Zbl 0912.15014Richter, R. Bruce; Wardlaw, William P. 2 1997 Sunlike primal graphs. Zbl 0792.05108Chinn, P. Z.; Richter, R. B.; Truszczyński, M. 2 1989 Families of primal graphs. Zbl 0679.05063Chinn, P. Z.; Thoelecke, P. A.; Richter, R. B. 2 1988 Left-right paths off the plane. Zbl 0566.05026Richter, R. Bruce; Shank, Herbert S. 2 1984 Bishellable drawings of \(K_n\). Zbl 1400.05061Ábrego, Bernardo M.; Aichholzer, Oswin; Fernández-Merchant, Silvia; McQuillan, Dan; Mohar, Bojan; Mutzel, Petra; Ramos, Pedro; Richter, R. Bruce; Vogtenhuber, Birgit 1 2018 Levi’s lemma, pseudolinear drawings of \(K_n\), and empty triangles. Zbl 1388.52018Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 1 2018 Drawings of \(K_n\) with the same rotation scheme are the same up to Reidemeister moves (Gioan’s theorem). Zbl 1375.05180Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 1 2017 Characterizing graphs with crossing number at least 2. Zbl 1368.05078Arroyo, Alan; Richter, R. Bruce 1 2017 The same upper bound for both: the 2-page and the rectilinear crossing numbers of the \(n\)-cube. Zbl 1346.05041Faria, Luerbio; De Figueiredo, Celina M. H.; Richter, R. Bruce; Vrt’o, Imrich 1 2016 Embedding a graph-like continuum in a surface. Zbl 1374.54037Richter, R. Bruce; Rooney, Brendan 1 2015 Production of light stringy states. Zbl 1333.81424Anastasopoulos, Pascal; Richter, Robert 1 2014 Addendum: Commentary for “On planarity of compact, locally connected, metric spaces”. Zbl 1313.05357Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 1 2014 Hamilton paths in generalized Petersen graphs. Zbl 1279.05042Bruce Richter, R. 1 2013 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 1 2012 Asymptotically settling Zarankiewicz’s conjecture in finite time, for each \(m\). Zbl 1274.05090Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 1 2011 Relating different cycle spaces of the same infinite graph. Zbl 1217.05076Richter, R. Bruce; Rooney, Brendan 1 2011 Graph minors: generalizing Kuratowski’s theorem. Zbl 1225.05225Richter, R. Bruce 1 2009 Matrix completions over principal ideal rings. Zbl 1167.15306Gustafson, William H.; Robinson, Donald W.; Richter, R. Bruce; Wardlaw, William P. 1 2008 New stringy instanton effects. Zbl 1180.81111Cvetič, M.; Richter, R.; Weigand, T. 1 2007 New stringy instanton effects and neutrino Majorana masses. Zbl 1145.81429Cvetič, M.; Richter, R.; Weigand, T. 1 2007 The convex hull of every optimal pseudolinear drawing of \(K_n\) is a triangle. Zbl 1138.05015Balogh, J.; Leaños, J.; Pan, S.; Richter, R. B.; Salazar, G. 1 2007 Erratum to: “2-walks in 3-connected planar graphs”. Zbl 1104.05021Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 1 2006 Sewing ribbons on graphs in space. Zbl 1028.05027Archdeacon, Dan; Bonnington, C. Paul; Richter, R. Bruce; Širáň, Jozef 1 2002 On 3-regular graphs having crossing number at least 2. Zbl 0813.05019McQuillan, Dan; Richter, R. Bruce 1 1994 The cycle space of an embedded graph. III. Zbl 0791.05030Richter, R. Bruce 1 1993 The smallest matrix of given period and primitive roots of unity. Zbl 0755.15015Richter, R. Bruce; Wardlaw, William P. 1 1992 Explicit bounds for graph minors. Zbl 1391.05243Geelen, Jim; Huynh, Tony; Bruce Richter, R. 3 2018 Bishellable drawings of \(K_n\). Zbl 1400.05061Ábrego, Bernardo M.; Aichholzer, Oswin; Fernández-Merchant, Silvia; McQuillan, Dan; Mohar, Bojan; Mutzel, Petra; Ramos, Pedro; Richter, R. Bruce; Vogtenhuber, Birgit 1 2018 Levi’s lemma, pseudolinear drawings of \(K_n\), and empty triangles. Zbl 1388.52018Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 1 2018 Drawings of \(K_n\) with the same rotation scheme are the same up to Reidemeister moves (Gioan’s theorem). Zbl 1375.05180Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 1 2017 Characterizing graphs with crossing number at least 2. Zbl 1368.05078Arroyo, Alan; Richter, R. Bruce 1 2017 Characterizing 2-crossing-critical graphs. Zbl 1330.05047Bokal, D.; Oporowski, B.; Richter, R. B.; Salazar, G. 6 2016 On the crossing number of \(K_n\) without computer assistance. Zbl 1342.05091McQuillan, Dan; Richter, R. Bruce 3 2016 Group-colouring, group-connectivity, claw-decompositions, and orientations in 5-edge-connected planar graphs. Zbl 1360.05066Richter, R. Bruce; Thomassen, Carsten; Younger, Daniel H. 2 2016 The same upper bound for both: the 2-page and the rectilinear crossing numbers of the \(n\)-cube. Zbl 1346.05041Faria, Luerbio; De Figueiredo, Celina M. H.; Richter, R. Bruce; Vrt’o, Imrich 1 2016 On the crossing number of \(K_{13}\). Zbl 1319.05045McQuillan, Dan; Pan, Shengjun; Richter, R. Bruce 5 2015 Discrete symmetries from hidden sectors. Zbl 1388.81232Anastasopoulos, Pascal; Richter, Robert; Schellekens, A. N. 3 2015 Embedding a graph-like continuum in a surface. Zbl 1374.54037Richter, R. Bruce; Rooney, Brendan 1 2015 Production of light stringy states. Zbl 1333.81424Anastasopoulos, Pascal; Richter, Robert 1 2014 Addendum: Commentary for “On planarity of compact, locally connected, metric spaces”. Zbl 1313.05357Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 1 2014 String constraints on discrete symmetries in MSSM type II quivers. Zbl 1342.81390Anastasopoulos, Pascal; Cvetič, Mirjam; Richter, Robert; Vaudrevange, Patrick K. S. 15 2013 Zarankiewicz’s conjecture is finite for each fixed \(m\). Zbl 1262.05030Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 8 2013 Hamilton paths in generalized Petersen graphs. Zbl 1279.05042Bruce Richter, R. 1 2013 Light stringy states. Zbl 1309.81191Anastasopoulos, Pascal; Bianchi, Massimo; Richter, Robert 7 2012 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 1 2012 On stable higher spin states in heterotic string theories. Zbl 1301.81187Bianchi, Massimo; Lopez, Luca; Richter, Robert 12 2011 On planarity of compact, locally connected, metric spaces. Zbl 1249.05080Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 3 2011 On 2-factors with long cycles in cubic graphs. Zbl 1236.05115Kündgen, André; Richter, R. Bruce 2 2011 Asymptotically settling Zarankiewicz’s conjecture in finite time, for each \(m\). Zbl 1274.05090Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 1 2011 Relating different cycle spaces of the same infinite graph. Zbl 1217.05076Richter, R. Bruce; Rooney, Brendan 1 2011 The Weinberg operator and a lower string scale in orientifold compactifications. Zbl 1291.81306Cvetič, Mirjam; Halverson, James; Langacker, Paul; Richter, Robert 15 2010 Mass hierarchies from MSSM orientifold compactifications. Zbl 1290.81201Cvetič, Mirjam; Halverson, James; Richter, Robert 12 2010 Branes and instantons intersecting at angles. Zbl 1269.81118Cvetič, Mirjam; García-Etxebarria, Iñaki; Richter, Robert 11 2010 SU(5) D-brane realizations, Yukawa couplings and proton stability. Zbl 1294.81308Anastasopoulos, P.; Leontaris, G. K.; Richter, R.; Schellekens, A. N. 9 2010 The planarity theorems of MacLane and Whitney for graph-like continua. Zbl 1221.05076Christian, Robin; Richter, R. Bruce; Rooney, Brendan 7 2010 A parity theorem for drawings of complete and complete. Zbl 1210.05112McQuillan, Dan; Richter, R. Bruce 2 2010 Crossing numbers. Zbl 1197.05036Richter, R. Bruce; Salazar, G. 5 2009 Graph minors: generalizing Kuratowski’s theorem. Zbl 1225.05225Richter, R. Bruce 1 2009 Nonperturbative Yukawa couplings from string instantons. Zbl 1228.81224Blumenhagen, Ralph; Cvetič, Mirjam; Lüst, Dieter; Richter, Robert; Weigand, Timo 37 2008 Cycle spaces in topological spaces. Zbl 1159.05017Vella, Antoine; Richter, R. Bruce 15 2008 The bond and cycle spaces of an infinite graph. Zbl 1229.05091Casteels, Karel; Richter, R. Bruce 7 2008 A polynomial invariant for flat virtual links. Zbl 1147.57017Kauffman, Louis H.; Richter, R. Bruce 6 2008 Matrix completions over principal ideal rings. Zbl 1167.15306Gustafson, William H.; Robinson, Donald W.; Richter, R. Bruce; Wardlaw, William P. 1 2008 The crossing number of \(K_{11}\) is 100. Zbl 1128.05018Pan, Shengjun; Richter, R. Bruce 24 2007 Proton decay via dimension-six operators in intersecting D6-brane models. Zbl 1116.81356Cvetič, Mirjam; Richter, Robert 11 2007 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 8 2007 New stringy instanton effects. Zbl 1180.81111Cvetič, M.; Richter, R.; Weigand, T. 1 2007 New stringy instanton effects and neutrino Majorana masses. Zbl 1145.81429Cvetič, M.; Richter, R.; Weigand, T. 1 2007 The convex hull of every optimal pseudolinear drawing of \(K_n\) is a triangle. Zbl 1138.05015Balogh, J.; Leaños, J.; Pan, S.; Richter, R. B.; Salazar, G. 1 2007 Improved bounds for the crossing numbers of \(K_{m,n}\) and \(K_{n}\). Zbl 1111.05029de Klerk, E.; Maharry, J.; Pasechnik, D. V.; Richter, R. B.; Salazar, G. 20 2006 Erratum to: “2-walks in 3-connected planar graphs”. Zbl 1104.05021Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 1 2006 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 42 2005 Two maps with large representativity on one surface. Zbl 1080.05025Richter, R. Bruce; Salazar, Gelasio 2 2005 Factorizations and characterizations of induced-hereditary and compositive properties. Zbl 1067.05057Farrugia, Alastair; Mihók, Peter; Richter, R. Bruce; Semanišin, Gabriel 2 2005 Scattering of gauge, matter, and moduli fields from intersecting branes. Zbl 1236.81167Lüst, D.; Mayr, P.; Richter, R.; Stieberger, S. 62 2004 Embedding grids in surfaces. Zbl 1050.05035Geelen, J. F.; Richter, R. B.; Salazar, G. 10 2004 Crossing numbers of sequences of graphs. I: General tiles. Zbl 1053.05036Pinontoan, Benny; Richter, R. Bruce 9 2004 Arrangements, circular arrangements and the crossing number of \(C_{7} \times C_{n}\). Zbl 1033.05026Adamsson, Jay; Richter, R. Bruce 8 2004 Unique factorisation of additive induced-hereditary properties. Zbl 1061.05070Farrugia, Alastair; Richter, R. Bruce 3 2004 Decomposing infinite 2-connected graphs into 3-connected components. Zbl 1058.05053Richter, R. Bruce 2 2004 Graphs embedded in the plane with a bounded number of accumulation points. Zbl 1030.05032Bonnington, C. Paul; Richter, R. Bruce 9 2003 Crossing numbers of sequences of graphs. II: Planar tiles. Zbl 1017.05037Pinontoan, Benny; Richter, R. Bruce 9 2003 Colouring Eulerian triangulations. Zbl 1025.05015Hutchinson, Joan; Richter, R. Bruce; Seymour, Paul 14 2002 3-connected planar spaces uniquely embed in the sphere. Zbl 1010.57002Richter, R. Bruce; Thomassen, Carsten 14 2002 The crossing number of \(P(N,3)\). Zbl 0999.05022Richter, R. Bruce; Salazar, Gelasio 9 2002 On essential and inessential polygons in embedded graphs. Zbl 1025.05016Richter, R. Bruce; Vitray, R. P. 3 2002 Sewing ribbons on graphs in space. Zbl 1028.05027Archdeacon, Dan; Bonnington, C. Paul; Richter, R. Bruce; Širáň, Jozef 1 2002 The crossing number of \(C_6\times C_n\). Zbl 0972.05015Richter, R. Bruce; Salazar, Gelasio 6 2001 Self-dual Cayley maps. Zbl 0947.05020Anderson, Mark S.; Richter, R. Bruce 3 2000 Relations between crossing numbers of complete and complete bipartite graphs. Zbl 0872.05010Richter, R. Bruce; Thomassen, Carsten 15 1997 The crossing number of \(C_7\times C_7\). Zbl 0894.05012Anderson, Mark; Richter, R. Bruce; Rodney, Peter 6 1997 Good matrices: Matrices that preserve ideals. Zbl 0912.15014Richter, R. Bruce; Wardlaw, William P. 2 1997 Separating and nonseparating disjoint homotopic cycles in graph embeddings. Zbl 0855.05048Brunet, Richard; Mohar, Bojan; Richter, R. Bruce 12 1996 The crossing number of \(C_ 5\times C_ n\). Zbl 0854.05036Klešč, Marián; Richter, R. Bruce; Stobert, Ian 11 1996 The crossing number of \(C_6\times C_6\). Zbl 0896.05032Anderson, Mark; Richter, R. Bruce; Rodney, Peter 6 1996 Irreducible triangulations of surfaces. Zbl 0863.05029Gao, Z.; Richter, R. B.; Seymour, P. D. 6 1996 Walks through every edge exactly twice. II. Zbl 0876.05022Keir, Jennifer; Richter, Bruce 4 1996 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 3 1996 Computing the orientable genus of projective graphs. Zbl 0837.05051Fiedler, J. R.; Huneke, John P.; Richter, R. B.; Robertson, N. 27 1995 Intersections of curve systems and the crossing number of \(C_ 5\times C_ 5\). Zbl 0820.05015Richter, R. B.; Thomassen, C. 21 1995 Spanning planar subgraphs of graphs in the torus and Klein bottle. Zbl 0837.05049Brunet, Richard; Ellingham, Mark N.; Gao, Zhicheng; Metzlar, Alice; Richter, R. Bruce 12 1995 The crossing number of \(C_ 4\times C_ 4\). Zbl 0813.05018Dean, Alice M.; Richter, R. Bruce 12 1995 Hamiltonicity of 5-connected toroidal triangulations. Zbl 0841.05061Brunet, Richard; Richter, R. Bruce 7 1995 2-walks in 3-connected planar graphs. Zbl 0837.05050Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 6 1995 2-walks in circuit graphs. Zbl 0807.05027Gao, Zhicheng; Richter, R. Bruce 17 1994 Branched coverings of maps and lifts of map homomorphisms. Zbl 0804.05025Archdeacon, Dan; Richter, R. Bruce; Širáň, Jozef; Škoviera, Martin 10 1994 Circular embedding of planar graphs in nonspherical surfaces. Zbl 0798.05020Richter, R. B.; Seymour, P. D.; Širáň, J. 6 1994 Walks through every edge exactly twice. Zbl 0809.05040Richter, R. Bruce 3 1994 On 3-regular graphs having crossing number at least 2. Zbl 0813.05019McQuillan, Dan; Richter, R. Bruce 1 1994 Minimal graphs with crossing number at least \(k\). Zbl 0733.05035Richter, Bruce R.; Thomassen, Carsten 15 1993 The cycle space of an embedded graph. III. Zbl 0791.05030Richter, R. Bruce 1 1993 On the crossing numbers of certain generalized Petersen graphs. Zbl 0756.05048McQuillan, Dan; Richter, R. Bruce 11 1992 The smallest matrix of given period and primitive roots of unity. Zbl 0755.15015Richter, R. Bruce; Wardlaw, William P. 1 1992 Spanning trees, Euler tours, medial graphs, left-right paths and cycle spaces. Zbl 0728.05015Richter, R. Bruce 1 1991 The construction and classification of self-dual spherical polyhedra. Zbl 0696.52006Archdeacon, Dan; Richter, R. Bruce 14 1990 Diagonalization over commutative rings. Zbl 0737.15007Richter, R. Bruce; Wardlaw, William P. 5 1990 On the parity of planar covers. Zbl 0715.05020Archdeacon, Dan; Richter, R. Bruce 1 1990 Sunlike primal graphs. Zbl 0792.05108Chinn, P. Z.; Richter, R. B.; Truszczyński, M. 2 1989 Sum zero (mod n), size n subsets of integers. Zbl 0675.10036Bailey, Craig; Richter, R. Bruce 1 1989 Cubic graphs with crossing number two. Zbl 0659.05044Richter, Bruce 6 1988 On the parity of crossing numbers. Zbl 0659.05043Archdeacon, Dan; Richter, R. Bruce 5 1988 Families of primal graphs. Zbl 0679.05063Chinn, P. Z.; Thoelecke, P. A.; Richter, R. B. 2 1988 Primal graphs with maximum degree at most 3. Zbl 0717.05039Chinn, P. Z.; Richter, R. B.; Truszczynski, M. 1 1988 The Gauss code problem off the plane. Zbl 0591.05024Lins, S.; Richter, R. Bruce; Shank, Herbert S. 12 1987 On the non-orientable genus of a 2-connected graph. Zbl 0591.05026Richter, R. Bruce 4 1987 On the Euler genus of a 2-connected graph. Zbl 0591.05025Richter, R. Bruce 3 1987 ...and 5 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 670 Authors 39 Richter, Robert Bruce 22 Salazar, Gelasio 16 Nakamoto, Atsuhiro 15 Cvetič, Mirjam 15 Mohar, Bojan 14 Archdeacon, Dan Steven 11 Honecker, Gabriele 11 Širáň, Jozef 10 Kawarabayashi, Ken-ichi 10 Weigand, Timo 9 Bianchi, Massimo 9 Halverson, James 9 Hliněný, Petr 9 Lüst, Dieter 8 de Klerk, Etienne 8 Jajcay, Robert 8 Ozeki, Kenta 7 Anastasopoulos, Pascal 7 Blumenhagen, Ralph 7 Bruhn, Henning 7 Ren, Han 7 Stieberger, Stephan 7 Thomassen, Carsten 7 Tucker, Thomas W. 7 Yang, Yuansheng 6 Bokal, Drago 6 García-Etxebarria, Iñaki 6 Grimm, Thomas W. 6 Huang, Yuanqiu 6 Kwak, Jin Ho 6 Mutzel, Petra 6 Nedela, Roman 6 Ota, Katsuhiro 6 Staessens, Wieland 5 Chimani, Markus 5 Conder, Marston D. E. 5 Conlon, Joseph Patrick 5 Georgakopoulos, Agelos 5 Langacker, Paul 5 Leanos, Jesus 5 Li, Caiheng 5 Liu, Yanpei 5 Marušič, Dragan 5 McQuillan, Dan 5 Morales, Jose Francisco 5 Pasechnik, Dmitrii V. 5 Quevedo Rodriguez, Fernando 5 Škoviera, Martin 5 Uranga, Angel M. 5 Zha, Xiaoya 4 Ábrego, Bernardo Manuel 4 Aichholzer, Oswin 4 Berasaluce-González, Mikel 4 Christian, Robin 4 Feng, Yanquan 4 Fernández-Merchant, Silvia 4 Golovach, Petr A. 4 Ibáñez, Luis E. 4 Krippendorf, Sven 4 Kwon, Young Soo 4 Leontaris, George K. 4 Lerda, Alberto 4 Malnič, Aleksander 4 Plummer, Michael D. 4 Reffert, Susanne 4 Schellekens, A. N. 4 Schlotterer, Oliver 4 Suzuki, Yusuke 4 Taylor, Tomasz R. 4 Thomas, Robin 4 Yu, Xingxing 3 Balogh, József 3 Berg, Marcus 3 Billó, Marco 3 Bonnington, C. Paul 3 Diestel, Reinhard 3 Ellingham, Mark Norman 3 Feng, Rongquan 3 Fomin, Fedor V. 3 Förste, Stefan 3 Frau, Marialuisa 3 Fucito, Francesco 3 Haack, Michael 3 Haythorpe, Michael 3 Ho, Pak Tung 3 Hutchinson, Joan P. 3 Im, Young Ho 3 Kang, Jin U 3 Kim, Sera 3 Kiritsis, Elias B. 3 Kovács, István 3 Kutnar, Klavdija 3 Kyncl, Jan 3 Lee, Kyeonghui 3 Lin, Xiaohui 3 Manturov, Vassiliĭ Olegovich 3 Marchesano, Fernando 3 Marsano, Joseph 3 Negami, Seiya 3 Newcombe, Alex ...and 570 more Authors all top 5 Cited in 90 Serials 81 Journal of High Energy Physics 77 Discrete Mathematics 62 Journal of Combinatorial Theory. Series B 33 Nuclear Physics. B 28 Journal of Graph Theory 18 European Journal of Combinatorics 17 Graphs and Combinatorics 12 Fortschritte der Physik 9 Combinatorica 9 Discrete & Computational Geometry 7 SIAM Journal on Discrete Mathematics 7 Journal of Knot Theory and its Ramifications 7 Journal of Algebraic Combinatorics 6 Mathematica Slovaca 6 Transactions of the American Mathematical Society 5 International Journal of Modern Physics A 5 Discrete Applied Mathematics 5 Linear Algebra and its Applications 5 Mathematical Programming. Series A. Series B 5 The Electronic Journal of Combinatorics 4 Topology and its Applications 4 Acta Mathematica Sinica. English Series 3 Rocky Mountain Journal of Mathematics 3 Advances in Applied Mathematics 3 Algorithmica 3 Computational Geometry 3 The Australasian Journal of Combinatorics 3 Ars Mathematica Contemporanea 2 Physics Letters. B 2 The Mathematical Intelligencer 2 Journal of Combinatorial Theory. Series A 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Computer Science and Technology 2 Journal of Global Optimization 2 European Journal of Operational Research 2 International Journal of Computer Mathematics 2 Combinatorics, Probability and Computing 2 Journal of Mathematical Sciences (New York) 2 Discussiones Mathematicae. Graph Theory 2 Journal of Graph Algorithms and Applications 2 Journal of Applied Mathematics and Computing 2 Science China. Mathematics 1 Modern Physics Letters A 1 Bulletin of the Australian Mathematical Society 1 Communications in Mathematical Physics 1 Israel Journal of Mathematics 1 Periodica Mathematica Hungarica 1 Ukrainian Mathematical Journal 1 Mathematics of Computation 1 Journal of Geometry and Physics 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Advances in Mathematics 1 Applied Mathematics and Computation 1 Ars Combinatoria 1 Collectanea Mathematica 1 Computing 1 Czechoslovak Mathematical Journal 1 Geometriae Dedicata 1 Glasgow Mathematical Journal 1 Inventiones Mathematicae 1 Journal of Algebra 1 Journal of Computer and System Sciences 1 Journal of Number Theory 1 Journal of Pure and Applied Algebra 1 Journal of Soviet Mathematics 1 Proceedings of the American Mathematical Society 1 SIAM Journal on Computing 1 Journal of Parallel and Distributed Computing 1 Random Structures & Algorithms 1 International Journal of Computational Geometry & Applications 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Applied Mathematics. Series B (English Edition) 1 Doklady Mathematics 1 Optimization Methods & Software 1 Matematychni Studiï 1 Journal of Shanghai University 1 Annals of Combinatorics 1 Discrete Dynamics in Nature and Society 1 CEJOR. Central European Journal of Operations Research 1 Optimization and Engineering 1 Physical Review Letters 1 Advances in Geometry 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Natural Computing 1 Physical Review D. Series III 1 Discrete Optimization 1 The European Physical Journal C. Particles and Fields 1 Mathematics in Computer Science 1 Mathematical Programming Computation 1 DML. Discrete Mathematics Letters all top 5 Cited in 41 Fields 343 Combinatorics (05-XX) 134 Quantum theory (81-XX) 46 Relativity and gravitational theory (83-XX) 44 Manifolds and cell complexes (57-XX) 41 Algebraic geometry (14-XX) 30 Computer science (68-XX) 23 Group theory and generalizations (20-XX) 22 Operations research, mathematical programming (90-XX) 13 Convex and discrete geometry (52-XX) 7 Differential geometry (53-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Associative rings and algebras (16-XX) 6 Partial differential equations (35-XX) 6 General topology (54-XX) 5 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Operator theory (47-XX) 2 Geometry (51-XX) 2 Mechanics of deformable solids (74-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 General and overarching topics; collections (00-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Probability theory and stochastic processes (60-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX) 1 Information and communication theory, circuits (94-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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