Edit Profile (opens in new tab) Richter, Robert Bruce Compute Distance To: Compute Author ID: richter.r-bruce Published as: Richter, R. Bruce; Richter, R. B.; Richter, Robert; Richter, Bruce; Richter, R.; Bruce Richter, R.; Richter, Bruce R. Homepage: http://www.math.uwaterloo.ca/~brichter/ External Links: MGP · ORCID · dblp Documents Indexed: 145 Publications since 1984 1 Contribution as Editor Co-Authors: 112 Co-Authors with 127 Joint Publications 3,416 Co-Co-Authors 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 7 Arroyo, Alan 6 Archdeacon, Dan Steven 5 Anastasopoulos, Pascal 5 Christian, Robin 5 Gao, Zhicheng 5 Rooney, Brendan 5 Truszczyński, Mirosław 4 Brunet, Richard 4 Shank, Herbert S. 4 Wardlaw, William P. 3 Anderson, Mark S. 3 Bonnington, C. Paul 3 Farrugia, Alastair 3 Luiz, Atílio G. 3 Pan, Shengjun 3 Seymour, Paul D. 3 Weigand, Timo 2 Bensmail, Julien 2 Bianchi, Massimo 2 Campos, C. N. 2 de Figueiredo, Celina M. Herrera 2 Dean, Alice M. 2 Faria, Luerbio 2 Halberstam, Fay Y. 2 Halverson, James 2 Lee, Orlando 2 Lüst, Dieter 2 Mihók, Peter 2 Mohar, Bojan 2 Pinontoan, Benny 2 Rodney, Peter 2 Schellekens, A. N. 2 Semanišin, Gabriel 2 Silva, André C. 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 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 Leontaris, George K. 1 Lins, Sóstenes L. 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 Škoviera, Martin 1 Stieberger, Stephan ...and 12 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 Graphs and Combinatorics 4 Congressus Numerantium 4 The Electronic Journal of Combinatorics 3 Ars Combinatoria 3 Combinatorica 3 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 3 SIAM Journal on Discrete Mathematics 2 Nuclear Physics. B 2 European Journal of Combinatorics 2 Discussiones Mathematicae. Graph Theory 2 Journal of Computational Geometry 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 120 Combinatorics (05-XX) 14 Quantum theory (81-XX) 9 Manifolds and cell complexes (57-XX) 8 Computer science (68-XX) 7 Convex and discrete geometry (52-XX) 5 Algebraic geometry (14-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 Open 104 Publications have been cited 766 times in 534 Documents Cited by ▼ Year ▼ Scattering of gauge, matter, and moduli fields from intersecting branes. Zbl 1236.81167Lüst, D.; Mayr, P.; Richter, R.; Stieberger, S. 54 2004 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 45 2005 Computing the orientable genus of projective graphs. Zbl 0837.05051Fiedler, J. R.; Huneke, John P.; Richter, R. B.; Robertson, N. 28 1995 The crossing number of \(K_{11}\) is 100. Zbl 1128.05018Pan, Shengjun; Richter, R. Bruce 25 2007 Nonperturbative Yukawa couplings from string instantons. Zbl 1228.81224Blumenhagen, Ralph; Cvetič, Mirjam; Lüst, Dieter; Richter, Robert; Weigand, Timo 22 2008 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 18 1994 Relations between crossing numbers of complete and complete bipartite graphs. Zbl 0872.05010Richter, R. Bruce; Thomassen, Carsten 17 1997 Minimal graphs with crossing number at least \(k\). Zbl 0733.05035Richter, Bruce R.; Thomassen, Carsten 17 1993 3-connected planar spaces uniquely embed in the sphere. Zbl 1010.57002Richter, R. Bruce; Thomassen, Carsten 15 2002 Cycle spaces in topological spaces. Zbl 1159.05017Vella, Antoine; Richter, R. Bruce 15 2008 Colouring Eulerian triangulations. Zbl 1025.05015Hutchinson, Joan; Richter, R. Bruce; Seymour, Paul 14 2002 String constraints on discrete symmetries in MSSM type II quivers. Zbl 1342.81390Anastasopoulos, Pascal; Cvetič, Mirjam; Richter, Robert; Vaudrevange, Patrick K. S. 14 2013 The construction and classification of self-dual spherical polyhedra. Zbl 0696.52006Archdeacon, Dan; Richter, R. Bruce 14 1990 Edge-disjoint spanning trees: A connectedness theorem. Zbl 0583.05023Farber, M.; Richter, R. Bruce; Shank, Herbert S. 13 1985 On the crossing numbers of certain generalized Petersen graphs. Zbl 0756.05048McQuillan, Dan; Richter, R. Bruce 12 1992 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 \(C_ 5\times C_ n\). Zbl 0854.05036Klešč, Marián; Richter, R. Bruce; Stobert, Ian 12 1996 Separating and nonseparating disjoint homotopic cycles in graph embeddings. Zbl 0855.05048Brunet, Richard; Mohar, Bojan; Richter, R. Bruce 12 1996 The Gauss code problem off the plane. Zbl 0591.05024Lins, S.; Richter, R. Bruce; Shank, Herbert S. 12 1987 Zarankiewicz’s conjecture is finite for each fixed \(m\). Zbl 1262.05030Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 12 2013 The crossing number of \(P(N,3)\). Zbl 0999.05022Richter, R. Bruce; Salazar, Gelasio 11 2002 On stable higher spin states in heterotic string theories. Zbl 1301.81187Bianchi, Massimo; Lopez, Luca; Richter, Robert 11 2011 Branched coverings of maps and lifts of map homomorphisms. Zbl 0804.05025Archdeacon, Dan; Richter, R. Bruce; Širáň, Jozef; Škoviera, Martin 10 1994 Embedding grids in surfaces. Zbl 1050.05035Geelen, J. F.; Richter, R. B.; Salazar, G. 10 2004 Light stringy states. Zbl 1309.81191Anastasopoulos, Pascal; Bianchi, Massimo; Richter, Robert 10 2012 Arrangements, circular arrangements and the crossing number of \(C_{7} \times C_{n}\). Zbl 1033.05026Adamsson, Jay; Richter, R. Bruce 9 2004 Crossing numbers of sequences of graphs. II: Planar tiles. Zbl 1017.05037Pinontoan, Benny; Richter, R. Bruce 9 2003 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 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 9 2007 Circular embedding of planar graphs in nonspherical surfaces. Zbl 0798.05020Richter, R. B.; Seymour, P. D.; Širáň, J. 8 1994 Hamiltonicity of 5-connected toroidal triangulations. Zbl 0841.05061Brunet, Richard; Richter, R. Bruce 8 1995 Embedding graphs in surfaces. Zbl 0514.05028Hoffman, Peter; Richter, Bruce 8 1984 The cycle space of an embedded graph. Zbl 0547.05028Richter, R. Bruce; Shank, Herbert S. 8 1984 Proton decay via dimension-six operators in intersecting D6-brane models. Zbl 1116.81356Cvetič, Mirjam; Richter, Robert 8 2007 The bond and cycle spaces of an infinite graph. Zbl 1229.05091Casteels, Karel; Richter, R. Bruce 8 2008 Characterizing 2-crossing-critical graphs. Zbl 1330.05047Bokal, D.; Oporowski, B.; Richter, R. B.; Salazar, G. 8 2016 The crossing number of \(C_ 4\times C_ 4\). Zbl 0813.05018Dean, Alice M.; Richter, R. Bruce 7 1995 2-walks in 3-connected planar graphs. Zbl 0837.05050Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 7 1995 Diagonalization over commutative rings. Zbl 0737.15007Richter, R. Bruce; Wardlaw, William P. 6 1990 Irreducible triangulations of surfaces. Zbl 0863.05029Gao, Z.; Richter, R. B.; Seymour, P. D. 6 1996 The Weinberg operator and a lower string scale in orientifold compactifications. Zbl 1291.81306Cvetič, Mirjam; Halverson, James; Langacker, Paul; Richter, Robert 6 2010 The planarity theorems of MacLane and Whitney for graph-like continua. Zbl 1221.05076Christian, Robin; Richter, R. Bruce; Rooney, Brendan 6 2010 A polynomial invariant for flat virtual links. Zbl 1147.57017Kauffman, Louis H.; Richter, R. Bruce 6 2008 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 6 2015 Levi’s lemma, pseudolinear drawings of \(K_n\), and empty triangles. Zbl 1388.52018Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 5 2018 The crossing number of \(C_6\times C_n\). Zbl 0972.05015Richter, R. Bruce; Salazar, Gelasio 5 2001 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 5 1996 Crossing numbers. Zbl 1197.05036Richter, R. Bruce; Salazar, G. 5 2009 On the parity of crossing numbers. Zbl 0659.05043Archdeacon, Dan; Richter, R. Bruce 5 1988 Branes and instantons intersecting at angles. Zbl 1269.81118Cvetič, Mirjam; García-Etxebarria, Iñaki; Richter, Robert 5 2010 On the crossing number of \(K_n\) without computer assistance. Zbl 1342.05091McQuillan, Dan; Richter, R. Bruce 4 2016 Walks through every edge exactly twice. II. Zbl 0876.05022Keir, Jennifer; Richter, Bruce 4 1996 SU(5) D-brane realizations, Yukawa couplings and proton stability. Zbl 1294.81308Anastasopoulos, P.; Leontaris, G. K.; Richter, R.; Schellekens, A. N. 4 2010 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 4 2017 On the non-orientable genus of a 2-connected graph. Zbl 0591.05026Richter, R. Bruce 4 1987 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 Walks through every edge exactly twice. Zbl 0809.05040Richter, R. Bruce 3 1994 Hamilton paths in generalized Petersen graphs. Zbl 1279.05042Bruce Richter, R. 3 2013 Discrete symmetries from hidden sectors. Zbl 1388.81232Anastasopoulos, Pascal; Richter, Robert; Schellekens, A. N. 3 2015 Explicit bounds for graph minors. Zbl 1391.05243Geelen, Jim; Huynh, Tony; Bruce Richter, R. 3 2018 Decomposing infinite 2-connected graphs into 3-connected components. Zbl 1058.05053Richter, R. Bruce 3 2004 Unique factorisation of additive induced-hereditary properties. Zbl 1061.05070Farrugia, Alastair; Richter, R. Bruce 3 2004 On the Euler genus of a 2-connected graph. Zbl 0591.05025Richter, R. Bruce 3 1987 On planarity of compact, locally connected, metric spaces. Zbl 1249.05080Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 3 2011 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 3 2012 On 2-factors with long cycles in cubic graphs. Zbl 1236.05115Kündgen, André; Richter, R. Bruce 3 2011 Good matrices: Matrices that preserve ideals. Zbl 0912.15014Richter, R. Bruce; Wardlaw, William P. 2 1997 The crossing number of \(C_6\times C_6\). Zbl 0896.05032Anderson, Mark; Richter, R. Bruce; Rodney, Peter 2 1996 The crossing number of \(C_7\times C_7\). Zbl 0894.05012Anderson, Mark; Richter, R. Bruce; Rodney, Peter 2 1997 Sunlike primal graphs. Zbl 0792.05108Chinn, P. Z.; Richter, R. B.; Truszczyński, M. 2 1989 Erratum to: “2-walks in 3-connected planar graphs”. Zbl 1104.05021Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 2 2006 A parity theorem for drawings of complete and complete. Zbl 1210.05112McQuillan, Dan; Richter, R. Bruce 2 2010 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 2 2018 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 Families of primal graphs. Zbl 0679.05063Chinn, P. Z.; Thoelecke, P. A.; Richter, R. B. 2 1988 Addendum: Commentary for “On planarity of compact, locally connected, metric spaces”. Zbl 1313.05357Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 2 2014 Production of light stringy states. Zbl 1333.81424Anastasopoulos, Pascal; Richter, Robert 2 2014 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 Extending drawings of graphs to arrangements of pseudolines. Zbl 1477.68194Arroyo, Alan; Bensmail, Julien; Richter, R. Bruce 2 2021 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 Sewing ribbons on graphs in space. Zbl 1028.05027Archdeacon, Dan; Bonnington, C. Paul; Richter, R. Bruce; Širáň, Jozef 1 2002 The smallest matrix of given period and primitive roots of unity. Zbl 0755.15015Richter, R. Bruce; Wardlaw, William P. 1 1992 The cycle space of an embedded graph. III. Zbl 0791.05030Richter, R. Bruce 1 1993 On 3-regular graphs having crossing number at least 2. Zbl 0813.05019McQuillan, Dan; Richter, R. Bruce 1 1994 On the parity of planar covers. Zbl 0715.05020Archdeacon, Dan; Richter, R. Bruce 1 1990 Primal graphs with maximum degree at most 3. Zbl 0717.05039Chinn, P. Z.; Richter, R. B.; Truszczynski, M. 1 1988 Spanning trees, Euler tours, medial graphs, left-right paths and cycle spaces. Zbl 0728.05015Richter, R. Bruce 1 1991 Relating different cycle spaces of the same infinite graph. Zbl 1217.05076Richter, R. Bruce; Rooney, Brendan 1 2011 Asymptotically settling Zarankiewicz’s conjecture in finite time, for each \(m\). Zbl 1274.05090Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 1 2011 Graph minors: generalizing Kuratowski’s theorem. Zbl 1225.05225Richter, R. Bruce 1 2009 Graphs with at most one crossing. Zbl 1419.05152Silva, André C.; Arroyo, Alan; Richter, R. Bruce; Lee, Orlando 1 2019 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 Matrix completions over principal ideal rings. Zbl 1167.15306Gustafson, William H.; Robinson, Donald W.; Richter, R. Bruce; Wardlaw, William P. 1 2008 Trees and Euler tours in a planar graph and its relatives. Zbl 0628.05023Kidwell, Mark E.; Richter, R. Bruce 1 1987 Extending drawings of graphs to arrangements of pseudolines. Zbl 1477.68194Arroyo, Alan; Bensmail, Julien; Richter, R. Bruce 2 2021 Extending drawings of complete graphs into arrangements of pseudocircles. Zbl 1465.05117Arroyo, Alan; Richter, R. Bruce; Sunohara, Matthew 1 2021 Graphs with at most one crossing. Zbl 1419.05152Silva, André C.; Arroyo, Alan; Richter, R. Bruce; Lee, Orlando 1 2019 Levi’s lemma, pseudolinear drawings of \(K_n\), and empty triangles. Zbl 1388.52018Arroyo, Alan; McQuillan, Dan; Richter, R. Bruce; Salazar, Gelasio 5 2018 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 2 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 4 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. 8 2016 On the crossing number of \(K_n\) without computer assistance. Zbl 1342.05091McQuillan, Dan; Richter, R. Bruce 4 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 6 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 Addendum: Commentary for “On planarity of compact, locally connected, metric spaces”. Zbl 1313.05357Richter, R. Bruce; Rooney, Brendan; Thomassen, Carsten 2 2014 Production of light stringy states. Zbl 1333.81424Anastasopoulos, Pascal; Richter, Robert 2 2014 String constraints on discrete symmetries in MSSM type II quivers. Zbl 1342.81390Anastasopoulos, Pascal; Cvetič, Mirjam; Richter, Robert; Vaudrevange, Patrick K. S. 14 2013 Zarankiewicz’s conjecture is finite for each fixed \(m\). Zbl 1262.05030Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 12 2013 Hamilton paths in generalized Petersen graphs. Zbl 1279.05042Bruce Richter, R. 3 2013 Light stringy states. Zbl 1309.81191Anastasopoulos, Pascal; Bianchi, Massimo; Richter, Robert 10 2012 Self-dual and self-Petrie-dual regular maps. Zbl 1242.05076Richter, R. Bruce; Širáň, Jozef; Wang, Yan 3 2012 On stable higher spin states in heterotic string theories. Zbl 1301.81187Bianchi, Massimo; Lopez, Luca; Richter, Robert 11 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 3 2011 Relating different cycle spaces of the same infinite graph. Zbl 1217.05076Richter, R. Bruce; Rooney, Brendan 1 2011 Asymptotically settling Zarankiewicz’s conjecture in finite time, for each \(m\). Zbl 1274.05090Christian, Robin; Richter, R. Bruce; Salazar, Gelasio 1 2011 The Weinberg operator and a lower string scale in orientifold compactifications. Zbl 1291.81306Cvetič, Mirjam; Halverson, James; Langacker, Paul; Richter, Robert 6 2010 The planarity theorems of MacLane and Whitney for graph-like continua. Zbl 1221.05076Christian, Robin; Richter, R. Bruce; Rooney, Brendan 6 2010 Branes and instantons intersecting at angles. Zbl 1269.81118Cvetič, Mirjam; García-Etxebarria, Iñaki; Richter, Robert 5 2010 SU(5) D-brane realizations, Yukawa couplings and proton stability. Zbl 1294.81308Anastasopoulos, P.; Leontaris, G. K.; Richter, R.; Schellekens, A. N. 4 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 22 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 8 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 25 2007 Triangular embeddings of complete graphs from graceful labellings of paths. Zbl 1247.05205Goddyn, Luis; Richter, R. Bruce; Širáň, Jozef 9 2007 Proton decay via dimension-six operators in intersecting D6-brane models. Zbl 1116.81356Cvetič, Mirjam; Richter, Robert 8 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 2 2006 Cayley maps. Zbl 1079.05029Richter, R. Bruce; Širáň, Jozef; Jajcay, Robert; Tucker, Thomas W.; Watkins, Mark E. 45 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. 54 2004 Embedding grids in surfaces. Zbl 1050.05035Geelen, J. F.; Richter, R. B.; Salazar, G. 10 2004 Arrangements, circular arrangements and the crossing number of \(C_{7} \times C_{n}\). Zbl 1033.05026Adamsson, Jay; Richter, R. Bruce 9 2004 Crossing numbers of sequences of graphs. I: General tiles. Zbl 1053.05036Pinontoan, Benny; Richter, R. Bruce 9 2004 Decomposing infinite 2-connected graphs into 3-connected components. Zbl 1058.05053Richter, R. Bruce 3 2004 Unique factorisation of additive induced-hereditary properties. Zbl 1061.05070Farrugia, Alastair; Richter, R. Bruce 3 2004 Crossing numbers of sequences of graphs. II: Planar tiles. Zbl 1017.05037Pinontoan, Benny; Richter, R. Bruce 9 2003 Graphs embedded in the plane with a bounded number of accumulation points. Zbl 1030.05032Bonnington, C. Paul; Richter, R. Bruce 9 2003 3-connected planar spaces uniquely embed in the sphere. Zbl 1010.57002Richter, R. Bruce; Thomassen, Carsten 15 2002 Colouring Eulerian triangulations. Zbl 1025.05015Hutchinson, Joan; Richter, R. Bruce; Seymour, Paul 14 2002 The crossing number of \(P(N,3)\). Zbl 0999.05022Richter, R. Bruce; Salazar, Gelasio 11 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 5 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 17 1997 Good matrices: Matrices that preserve ideals. Zbl 0912.15014Richter, R. Bruce; Wardlaw, William P. 2 1997 The crossing number of \(C_7\times C_7\). Zbl 0894.05012Anderson, Mark; Richter, R. Bruce; Rodney, Peter 2 1997 The crossing number of \(C_ 5\times C_ n\). Zbl 0854.05036Klešč, Marián; Richter, R. Bruce; Stobert, Ian 12 1996 Separating and nonseparating disjoint homotopic cycles in graph embeddings. Zbl 0855.05048Brunet, Richard; Mohar, Bojan; Richter, R. Bruce 12 1996 Irreducible triangulations of surfaces. Zbl 0863.05029Gao, Z.; Richter, R. B.; Seymour, P. D. 6 1996 The crossing number of \(K_{3,n}\) in a surface. Zbl 0838.05033Richter, R. Bruce; Širán, J. 5 1996 Walks through every edge exactly twice. II. Zbl 0876.05022Keir, Jennifer; Richter, Bruce 4 1996 The crossing number of \(C_6\times C_6\). Zbl 0896.05032Anderson, Mark; Richter, R. Bruce; Rodney, Peter 2 1996 Computing the orientable genus of projective graphs. Zbl 0837.05051Fiedler, J. R.; Huneke, John P.; Richter, R. B.; Robertson, N. 28 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 Hamiltonicity of 5-connected toroidal triangulations. Zbl 0841.05061Brunet, Richard; Richter, R. Bruce 8 1995 The crossing number of \(C_ 4\times C_ 4\). Zbl 0813.05018Dean, Alice M.; Richter, R. Bruce 7 1995 2-walks in 3-connected planar graphs. Zbl 0837.05050Gao, Zhicheng; Richter, R. Bruce; Yu, Xingxing 7 1995 2-walks in circuit graphs. Zbl 0807.05027Gao, Zhicheng; Richter, R. Bruce 18 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. 8 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 17 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 12 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. 6 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 4 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 706 Authors 36 Richter, Robert Bruce 23 Salazar, Gelasio 16 Mohar, Bojan 16 Nakamoto, Atsuhiro 13 Archdeacon, Dan Steven 11 Širáň, Jozef 10 Kawarabayashi, Ken-ichi 9 Hliněný, Petr 9 Honecker, Gabriele 9 Ozeki, Kenta 9 Weigand, Timo 8 de Klerk, Etienne 8 Jajcay, Robert 8 Lüst, Dieter 7 Bianchi, Massimo 7 Bruhn, Henning 7 Huang, Yuanqiu 7 Ren, Han 7 Stieberger, Stephan 7 Thomassen, Carsten 7 Tucker, Thomas W. 7 Yang, Yuansheng 6 Bokal, Drago 6 Cvetič, Mirjam 6 Kwak, Jin Ho 6 Nedela, Roman 6 Ota, Katsuhiro 6 Staessens, Wieland 5 Blumenhagen, Ralph 5 Chimani, Markus 5 Conder, Marston D. E. 5 Grimm, Thomas W. 5 Kwon, Young Soo 5 Leanos, Jesus 5 Li, Caiheng 5 Liu, Yanpei 5 Marušič, Dragan 5 McQuillan, Dan 5 Mutzel, Petra 5 Pasechnik, Dmitrii V. 5 Škoviera, Martin 5 Suzuki, Yusuke 5 Tóth, Géza 5 Wang, Yan 5 Yu, Xingxing 5 Zha, Xiaoya 4 Ábrego, Bernardo Manuel 4 Aichholzer, Oswin 4 Anastasopoulos, Pascal 4 Christian, Robin 4 Diestel, Reinhard 4 Feng, Yanquan 4 Fernández-Merchant, Silvia 4 Georgakopoulos, Agelos 4 Golovach, Petr A. 4 Kutnar, Klavdija 4 Malnič, Aleksander 4 Morales, Jose Francisco 4 Plummer, Michael D. 4 Reffert, Susanne 4 Schlotterer, Oliver 4 Taylor, Tomasz R. 4 Thomas, Robin 4 Uranga, Angel M. 4 Wang, Jing 3 Balogh, József 3 Barát, János 3 Berasaluce-González, Mikel 3 Bonnington, C. Paul 3 Conlon, Joseph Patrick 3 Ellingham, Mark Norman 3 Fan, Wenwen 3 Feng, Rongquan 3 Fomin, Fedor V. 3 Haythorpe, Michael 3 Ho, Pak Tung 3 Hutchinson, Joan P. 3 Ibáñez, Luis E. 3 Im, Young Ho 3 Kim, Sera 3 Kiritsis, Elias B. 3 Kyncl, Jan 3 Lee, Kyeonghui 3 Lin, Xiaohui 3 Manturov, Vassiliĭ Olegovich 3 Negami, Seiya 3 Newcombe, Alex 3 Pach, János 3 Pesando, Igor 3 Pisanski, Tomaž 3 Prokip, Volodymyr M. 3 Ramos, Pedro A. 3 Rooney, Brendan 3 Sanders, Daniel P. 3 Schellekens, A. N. 3 Schrijver, Alexander 3 Székely, László A. 3 Tardos, Gábor 3 Thilikos, Dimitrios M. 3 Tóth, Csaba D. ...and 606 more Authors all top 5 Cited in 102 Serials 78 Discrete Mathematics 64 Journal of Combinatorial Theory. Series B 46 Journal of High Energy Physics 35 Nuclear Physics. 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Particles and Fields 1 Mathematics in Computer Science 1 Mathematical Programming Computation 1 Journal of Mathematics 1 Open Mathematics 1 Journal de l’École Polytechnique – Mathématiques 1 Journal of Algebra, Combinatorics, Discrete Structures and Applications ...and 2 more Serials all top 5 Cited in 42 Fields 378 Combinatorics (05-XX) 102 Quantum theory (81-XX) 48 Relativity and gravitational theory (83-XX) 45 Manifolds and cell complexes (57-XX) 43 Computer science (68-XX) 27 Group theory and generalizations (20-XX) 24 Algebraic geometry (14-XX) 23 Operations research, mathematical programming (90-XX) 19 Convex and discrete geometry (52-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Differential geometry (53-XX) 5 Geometry (51-XX) 5 General topology (54-XX) 3 Associative rings and algebras (16-XX) 3 Nonassociative rings and algebras (17-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Partial differential equations (35-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Number theory (11-XX) 2 Commutative algebra (13-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Probability theory and stochastic processes (60-XX) 2 Mechanics of deformable solids (74-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Field theory and polynomials (12-XX) 1 \(K\)-theory (19-XX) 1 Topological groups, Lie groups (22-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-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