Edit Profile (opens in new tab) De Bruyn, Bart Co-Author Distance Author ID: de-bruyn.bart Published as: De Bruyn, Bart; De Bruyn, B.; de Bruyn, Bart; Bruyn, Bart De; de Bruyn, B. more...less Homepage: http://cage.ugent.be/~bdb/ External Links: MGP · Wikidata · dblp Documents Indexed: 203 Publications since 1999, including 2 Books and 2 Additional arXiv Preprints Reviewing Activity: 118 Reviews Co-Authors: 30 Co-Authors with 78 Joint Publications 597 Co-Co-Authors all top 5 Co-Authors 125 single-authored 11 Vandecasteele, Pieter 10 Cardinali, Ilaria 10 Pasini, Antonio 8 Sahoo, Binod Kumar 7 Kwiatkowski, Mariusz 6 Bishnoi, Anurag 6 Gao, Mou 5 Pralle, Harm 4 Pradhan, Puspendu 4 Sahu, Bikramaditya 3 Blok, Rieuwert J. 2 Cooperstein, Bruce N. 2 De Clerck, Frank 2 Payne, Stanley E. 2 Shpectorov, Sergey Viktorovich 2 Van Maldeghem, Hendrik J. 2 Vanhove, Frédéric 1 Abiad, Aida 1 D’haeseleer, Jozefien 1 Goryainov, Sergey Viktorovich 1 Haemers, Willem H. 1 Jena, Dibyayoti Dhananjay 1 Koolen, Jack H. 1 Meierfrankenfeld, Ulrich 1 Narasimha Sastry, N. S. 1 Shalaginov, Leonid Viktorovich 1 Suzuki, Hiroshi 1 Thas, Koen 1 Van de Voorde, Geertrui 1 Verduyn, Frédéric all top 5 Serials 24 Discrete Mathematics 18 European Journal of Combinatorics 17 Linear Algebra and its Applications 13 Ars Combinatoria 13 Journal of Combinatorial Theory. Series A 13 Designs, Codes and Cryptography 13 Annals of Combinatorics 12 The Electronic Journal of Combinatorics 10 Journal of Algebraic Combinatorics 8 Graphs and Combinatorics 6 Advances in Geometry 4 Journal of Geometry 4 Bulletin of the Belgian Mathematical Society - Simon Stevin 3 Linear and Multilinear Algebra 2 Discrete Applied Mathematics 2 Geometriae Dedicata 2 Glasgow Mathematical Journal 2 Journal of Algebra 2 Results in Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Finite Fields and their Applications 2 Journal of Combinatorial Designs 2 ELA. The Electronic Journal of Linear Algebra 2 Frontiers in Mathematics 1 Communications in Algebra 1 Beiträge zur Algebra und Geometrie 1 Illinois Journal of Mathematics 1 Journal of Graph Theory 1 Journal für die Reine und Angewandte Mathematik 1 Michigan Mathematical Journal 1 Utilitas Mathematica 1 Combinatorica 1 JCMCC. The Journal of Combinatorial Mathematics and Combinatorial Computing 1 Forum Mathematicum 1 Experimental Mathematics 1 Bulletin of the Institute of Combinatorics and its Applications 1 International Journal of Applied Mathematics 1 Forum Geometricorum 1 Innovations in Incidence Geometry 1 Contributions to Discrete Mathematics 1 International Electronic Journal of Geometry 1 Münster Journal of Mathematics all top 5 Fields 191 Geometry (51-XX) 91 Combinatorics (05-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 7 Group theory and generalizations (20-XX) 4 Information and communication theory, circuits (94-XX) 2 Number theory (11-XX) 2 Convex and discrete geometry (52-XX) 1 Commutative algebra (13-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Sequences, series, summability (40-XX) 1 Computer science (68-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 148 Publications have been cited 872 times in 243 Documents Cited by ▼ Year ▼ Near polygons. Zbl 1102.51007 De Bruyn, Bart 54 2006 Minimal full polarized embeddings of dual polar spaces. Zbl 1110.51003 Cardinali, Ilaria; De Bruyn, Bart; Pasini, Antonio 26 2007 Valuations and hyperplanes of dual polar spaces. Zbl 1085.51006 De Bruyn, Bart; Vandecasteele, Pieter 22 2005 Valuations of near polygons. Zbl 1085.51009 De Bruyn, Bart; Vandecasteele, Pieter 21 2005 Some subspaces of the \(k\)th exterior power of a symplectic vector space. Zbl 1167.15023 De Bruyn, Bart 18 2009 The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces. Zbl 1158.51001 Cardinali, Ilaria; De Bruyn, Bart 18 2008 The hyperplanes of \(DH(5, q^{2})\). Zbl 1158.51002 De Bruyn, Bart; Pralle, Harm 18 2008 The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings. Zbl 1116.51003 De Bruyn, Bart 18 2007 Intriguing sets of vertices of regular graphs. Zbl 1230.05297 De Bruyn, Bart; Suzuki, Hiroshi 17 2010 A decomposition of the natural embedding spaces for the symplectic dual polar spaces. Zbl 1122.51003 De Bruyn, Bart 16 2007 An introduction to incidence geometry. Zbl 1376.51001 de Bruyn, Bart 15 2016 On the Grassmann-embeddings of the Hermitian dual polar spaces. Zbl 1155.51001 De Bruyn, Bart 15 2008 On the simple connectedness of hyperplane complements in dual polar spaces. Zbl 1160.51004 Cardinali, I.; de Bruyn, B.; Pasini, A. 15 2009 The exceptional hyperplanes of \(DH(5,4)\). Zbl 1132.51004 De Bruyn, Bart; Pralle, Harm 15 2007 The classification of the slim dense near octagons. Zbl 1107.05019 De Bruyn, Bart; Vandecasteele, Pieter 14 2007 On hyperovals of polar spaces. Zbl 1204.51006 De Bruyn, Bart 14 2010 Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\). Zbl 1169.51004 De Bruyn, Bart; Pasini, Antonio 13 2007 Generalized quadrangles with a spread of symmetry. Zbl 0946.51007 De Bruyn, Bart 12 1999 The distance-2-sets of the slim dense near hexagons. Zbl 1117.51003 De Bruyn, Bart; Vandecasteele, Pieter 12 2006 The hyperplanes of \(DW(5,2^h)\)which arise from embedding. Zbl 1160.51006 De Bruyn, Bart 12 2009 Pseudo-embeddings and pseudo-hyperplanes. Zbl 1267.51002 De Bruyn, Bart 12 2013 On near hexagons and spreads of generalized quadrangles. Zbl 0961.51004 De Bruyn, Bart 11 2000 On linear representations of near hexagons. Zbl 0920.51002 De Bruyn, Bart; De Clerck, Frank 11 1999 Locally singular hyperplanes in thick dual polar spaces of rank 4. Zbl 1097.51001 Cardinali, I.; De Bruyn, B.; Pasini, A. 11 2006 Inequalities for regular near polygons, with applications to \(m\)-ovoids. Zbl 1257.51004 De Bruyn, Bart; Vanhove, Frédéric 11 2013 Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\)). Zbl 1139.51009 De Bruyn, B. 11 2008 Near hexagons with four points on a line. Zbl 0981.51009 De Bruyn, Bart 10 2001 The structure of the spin-embeddings of dual polar spaces and related geometries. Zbl 1146.51003 De Bruyn, Bart 10 2008 On symplectic polar spaces over non-perfect fields of characteristic 2. Zbl 1193.51003 De Bruyn, B.; Pasini, A. 10 2009 The pseudo-hyperplanes and homogeneous pseudo-embeddings of \(\mathrm{AG}(n, 4)\) and \(\mathrm{PG}(n, 4)\). Zbl 1248.51001 De Bruyn, Bart 9 2012 Polarized and homogeneous embeddings of dual polar spaces. Zbl 1204.51003 Blok, R. J.; Cardinali, I.; De Bruyn, B.; Pasini, A. 9 2009 A new near octagon and the Suzuki tower. Zbl 1338.05275 Bishnoi, Anurag; De Bruyn, Bart 9 2016 Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd. Zbl 1173.51002 Cooperstein, Bruce N.; De Bruyn, B. 9 2009 On the Grassmann modules for the symplectic groups. Zbl 1204.15037 de Bruyn, Bart 9 2010 On \(Q\)-polynomial regular near \(2d\)-gons. Zbl 1374.05245 De Bruyn, Bart; Vanhove, Frederic 8 2015 New near polygons from Hermitian varieties. Zbl 1115.51002 De Bruyn, Bart 8 2003 Near polygons with a nice chain of sub-near polygons. Zbl 1061.51002 De Bruyn, Bart; Vandecasteele, Pieter 8 2004 Minimal scattered sets and polarized embeddings of dual polar spaces. Zbl 1126.51004 De Bruyn, Bart; Pasini, Antonio 8 2007 On semi-finite hexagons of order \((2,t)\) containing a subhexagon. Zbl 1358.51004 Bishnoi, Anurag; De Bruyn, Bart 7 2016 On the number of nonisomorphic glued near hexagons. Zbl 0974.51013 De Bruyn, Bart 7 2000 The glueing of near polygons. Zbl 1036.51009 De Bruyn, Bart 7 2002 On the trivectors of a 6-dimensional symplectic vector space. II. Zbl 1277.15020 De Bruyn, B.; Kwiatkowski, M. 7 2012 Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras. Zbl 1357.51003 De Bruyn, Bart; Van Maldeghem, Hendrik 7 2016 On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\). Zbl 1159.51003 Blok, Rieuwert J.; Cardinali, Ilaria; de Bruyn, Bart 7 2009 Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3, q)\). Zbl 1398.51006 De Bruyn, Bart; Sahoo, Binod Kumar; Sahu, Bikramaditya 7 2018 On polyvectors of vector spaces and hyperplanes of projective Grassmannians. Zbl 1278.15027 De Bruyn, Bart 7 2011 The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\). Zbl 1288.51004 De Bruyn, Bart 7 2013 Decomposable near polygons. Zbl 1110.51006 De Bruyn, Bart 6 2004 A note on the spin-embedding of the dual polar space \(DQ^{-}(2n+1, \mathbb {K})\). Zbl 1265.51001 De Bruyn, Bart 6 2011 A characterization of the SDPS-hyperplanes of dual polar spaces. Zbl 1143.51004 De Bruyn, Bart 6 2007 On a class of hyperplanes of the symplectic and Hermitian dual polar spaces. Zbl 1169.51003 De Bruyn, Bart 6 2009 Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding. Zbl 1160.51003 De Bruyn, Bart 6 2008 The uniqueness of a certain generalized octagon of order \((2, 4)\). Zbl 1345.51005 De Bruyn, Bart 6 2015 Non-embeddable polar spaces. Zbl 1345.51004 De Bruyn, Bart; Van Maldeghem, Hendrik 6 2014 On the trivectors of a 6-dimensional symplectic vector space. Zbl 1233.15010 De Bruyn, B.; Kwiatkowski, M. 6 2011 Characterizations of the Suzuki tower near polygons. Zbl 1367.05211 Bishnoi, Anurag; De Bruyn, Bart 5 2017 On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon. Zbl 1362.51003 Bishnoi, Anurag; De Bruyn, Bart 5 2017 Dense near octagons with four points on each line. III. Zbl 1233.05068 De Bruyn, Bart 5 2011 Two conjectures regarding dense near polygons with three points on each line. Zbl 1030.51004 De Bruyn, Bart; Vandecasteele, Pieter 5 2003 Hyperplanes of embeddable Grassmannians arise from projective embeddings: A short proof. Zbl 1161.51002 de Bruyn, Bart 5 2009 On the Grassmann modules for the unitary groups. Zbl 1236.15076 de Bruyn, Bart 5 2010 The hyperplanes of the \(U_{4}(3)\) near hexagon. Zbl 1230.05294 De Bruyn, Bart; Shpectorov, Sergey 5 2010 The valuations of the near polygon G\(_{n}\). Zbl 1194.51007 De Bruyn, Bart 5 2009 On the adjacency algebras of near hexagons with an order. Zbl 1376.05168 De Bruyn, Bart 5 2017 Dual embeddings of dense near polygons. Zbl 1265.51002 De Bruyn, Bart 5 2012 The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings. Zbl 1232.51003 De Bruyn, Bart 4 2011 Generalized quadrangles with a spread of symmetry and near polygons. Zbl 1025.51002 De Bruyn, Bart; Thas, Koen 4 2002 Polygonal valuations. Zbl 1268.51005 De Bruyn, Bart 4 2013 The valuations of the near octagon \({\mathbb{H}}_4\). Zbl 1146.51004 De Bruyn, B.; Vandecasteele, P. 4 2007 The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding. Zbl 1192.51002 Cooperstein, B. N.; De Bruyn, B. 4 2008 The hyperplanes of \(DW(5,q)\) with no ovoidal quad. Zbl 1089.51001 De Bruyn, Bart; Pralle, Harm 4 2006 On extensions of hyperplanes of dual polar spaces. Zbl 1262.51004 De Bruyn, Bart 4 2011 On the trivectors of a 6-dimensional symplectic vector space. III. Zbl 1259.15040 De Bruyn, B.; Kwiatkowski, M. 4 2013 The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle \(H(3,4)\). Zbl 1456.51003 De Bruyn, Bart; Gao, Mou 4 2020 Near polygons having a big sub near polygon isomorphic to \(H^D(2n-1,4)\). Zbl 1141.51007 De Bruyn, Bart; Vandecasteele, Pieter 4 2006 On tetrahedrally closed line systems and a generalization of the Haemers-Roos inequality. Zbl 1439.05042 De Bruyn, Bart 4 2020 Quadratic sets on the Klein quadric. Zbl 1515.51005 De Bruyn, Bart 3 2022 The use of valuations for classifying point-line geometries. Zbl 1338.51005 De Bruyn, Bart 3 2014 Valuations of glued near hexagons. Zbl 1111.51005 De Bruyn, Bart 3 2007 Two classes of hyperplanes of dual polar spaces without subquadrangular quads. Zbl 1187.51002 de Bruyn, Bart 3 2008 The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\). Zbl 1178.05079 de Bruyn, Bart; Pralle, Harm 3 2008 The valuations of the near hexagons related to the Witt designs \(S(5,6,12)\) and \(S(5,8,24)\). Zbl 1100.51002 De Bruyn, Bart; Vandecasteele, Pieter 3 2006 The valuations of the near octagon \({\mathbb I}_4\). Zbl 1165.51301 De Bruyn, Bart; Vandecasteele, Pieter 3 2006 On the trivectors of a 6-dimensional symplectic vector space. IV. Zbl 1261.15034 De Bruyn, B.; Kwiatkowski, M. 3 2013 The \(\mathrm {L}_3(4)\) near octagon. Zbl 1396.05120 Bishnoi, A.; De Bruyn, B. 3 2018 Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2. Zbl 1219.51003 De Bruyn, Bart 3 2009 Tight sets of points in the half-spin geometry related to \(Q^{+}(9, q)\). Zbl 1121.05020 De Bruyn, Bart 3 2007 Dense near polygons with two types of quads and three types of hexes. Zbl 1136.51004 De Bruyn, Bart 3 2006 Hyperplanes of \(DW(5,\mathbb K)\) containing a quad. Zbl 1282.51003 De Bruyn, Bart 2 2013 Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces. Zbl 1284.51004 De Bruyn, Bart 2 2013 Glued near polygons. Zbl 0989.51001 De Bruyn, Bart 2 2001 Blocking sets of tangent lines to a hyperbolic quadric in \(\mathrm{PG}(3, 3)\). Zbl 1464.51010 De Bruyn, Bart; Sahoo, Binod Kumar; Sahu, Bikramaditya 2 2019 Near polygons from partial linear spaces. Zbl 0940.51011 De Bruyn, Bart; De Clerck, Frank 2 1999 Near polygons having a big sub near polygon isomorphic to \(\mathbb G_n\). Zbl 1067.05016 De Bruyn, Bart 2 2004 On the uniqueness of near polygons with three points on every line. Zbl 1025.51015 De Bruyn, Bart 2 2002 Near polygons having a big sub near polygon isomorphic to \(\mathbb{H}_n\). Zbl 1017.05031 De Bruyn, Bart 2 2002 On near-polygons and the Coxeter cap in PG(5,3). Zbl 0959.51008 De Bruyn, Bart 2 2000 A thin near hexagon with 50 points. Zbl 1029.51005 Blok, Rieuwert; De Bruyn, Bart; Meierfrankenfeld, Ulrich 2 2003 A new geometrical construction for the near hexagon with parameters \((s,t,T_2)=(2,5,\{1,2\})\). Zbl 1050.51010 De Bruyn, Bart 2 2003 Regular partitions of dual polar spaces. Zbl 1190.51004 Cardinali, Ilaria; De Bruyn, Bart 2 2010 An infinite family of hyperovals of \(Q^+(5,q)\), \(q\) even. Zbl 07920045 De Bruyn, Bart 1 2024 Quadratic sets on the Klein quadric. Zbl 1515.51005 De Bruyn, Bart 3 2022 Neumaier graphs with few eigenvalues. Zbl 1504.05304 Abiad, Aida; De Bruyn, Bart; D’haeseleer, Jozefien; Koolen, Jack H. 2 2022 A combinatorial characterization of extremal generalized hexagons. Zbl 1509.51001 De Bruyn, Bart 1 2022 Pseudo-embeddings and quadratic sets of quadrics. Zbl 1486.51006 De Bruyn, Bart; Gao, Mou 1 2022 On ovoids of the generalized quadrangle \(H(3,q^2)\). Zbl 1475.51003 De Bruyn, Bart 1 2021 The homogeneous pseudo-embeddings and hyperovals of the generalized quadrangle \(H(3,4)\). Zbl 1456.51003 De Bruyn, Bart; Gao, Mou 4 2020 On tetrahedrally closed line systems and a generalization of the Haemers-Roos inequality. Zbl 1439.05042 De Bruyn, Bart 4 2020 Minimum size blocking sets of certain line sets with respect to an elliptic quadric in \(\mathrm{PG}(3,q)\). Zbl 1467.51008 De Bruyn, Bart; Pradhan, Puspendu; Sahoo, Binod Kumar 2 2020 Blocking sets of tangent lines to a hyperbolic quadric in \(\mathrm{PG}(3, 3)\). Zbl 1464.51010 De Bruyn, Bart; Sahoo, Binod Kumar; Sahu, Bikramaditya 2 2019 Pseudo-embeddings of the (point, \(k\)-spaces)-geometry of \(\mathrm{PG}(n,2)\) and projective embeddings of \(\mathrm{DW}(2n-1,2)\). Zbl 1410.51003 De Bruyn, Bart 1 2019 Correction to: “On semi-finite hexagons of order \((2, t)\) containing a subhexagon”. Zbl 1418.51003 Bishnoi, Anurag; De Bruyn, Bart 1 2019 Blocking sets of tangent and external lines to a hyperbolic quadric in \(\mathrm{PG}(3, q)\). Zbl 1398.51006 De Bruyn, Bart; Sahoo, Binod Kumar; Sahu, Bikramaditya 7 2018 The \(\mathrm {L}_3(4)\) near octagon. Zbl 1396.05120 Bishnoi, A.; De Bruyn, B. 3 2018 On the valuations of the near polygon \({\mathbb{H}_n}\). Zbl 1466.51003 De Bruyn, Bart 2 2018 Characterizations of the Suzuki tower near polygons. Zbl 1367.05211 Bishnoi, Anurag; De Bruyn, Bart 5 2017 On generalized hexagons of order \((3, t)\) and \((4, t)\) containing a subhexagon. Zbl 1362.51003 Bishnoi, Anurag; De Bruyn, Bart 5 2017 On the adjacency algebras of near hexagons with an order. Zbl 1376.05168 De Bruyn, Bart 5 2017 On some \(2\)-tight sets of polar spaces. Zbl 1488.51001 De Bruyn, Bart 1 2017 An introduction to incidence geometry. Zbl 1376.51001 de Bruyn, Bart 15 2016 A new near octagon and the Suzuki tower. Zbl 1338.05275 Bishnoi, Anurag; De Bruyn, Bart 9 2016 On semi-finite hexagons of order \((2,t)\) containing a subhexagon. Zbl 1358.51004 Bishnoi, Anurag; De Bruyn, Bart 7 2016 Universal and homogeneous embeddings of dual polar spaces of rank 3 defined over quadratic alternative division algebras. Zbl 1357.51003 De Bruyn, Bart; Van Maldeghem, Hendrik 7 2016 A note on characterizing Hermitian curves via Baer sublines. Zbl 1356.51003 De Bruyn, Bart 1 2016 On \(Q\)-polynomial regular near \(2d\)-gons. Zbl 1374.05245 De Bruyn, Bart; Vanhove, Frederic 8 2015 The uniqueness of a certain generalized octagon of order \((2, 4)\). Zbl 1345.51005 De Bruyn, Bart 6 2015 Non-embeddable polar spaces. Zbl 1345.51004 De Bruyn, Bart; Van Maldeghem, Hendrik 6 2014 The use of valuations for classifying point-line geometries. Zbl 1338.51005 De Bruyn, Bart 3 2014 Pseudo-embeddings and pseudo-hyperplanes. Zbl 1267.51002 De Bruyn, Bart 12 2013 Inequalities for regular near polygons, with applications to \(m\)-ovoids. Zbl 1257.51004 De Bruyn, Bart; Vanhove, Frédéric 11 2013 The pseudo-hyperplanes and homogeneous pseudo-embeddings of the generalized quadrangles of order \((3,t)\). Zbl 1288.51004 De Bruyn, Bart 7 2013 Polygonal valuations. Zbl 1268.51005 De Bruyn, Bart 4 2013 On the trivectors of a 6-dimensional symplectic vector space. III. Zbl 1259.15040 De Bruyn, B.; Kwiatkowski, M. 4 2013 On the trivectors of a 6-dimensional symplectic vector space. IV. Zbl 1261.15034 De Bruyn, B.; Kwiatkowski, M. 3 2013 Hyperplanes of \(DW(5,\mathbb K)\) containing a quad. Zbl 1282.51003 De Bruyn, Bart 2 2013 Isometric embeddings of the near polygons \(\mathbb H_n\) and \(\mathbb G_n\) into dual polar spaces. Zbl 1284.51004 De Bruyn, Bart 2 2013 The classification of the trivectors of a six-dimensional symplectic space: Summary, consequences and connections. Zbl 1273.15034 De Bruyn, B.; Kwiatkowski, M. 2 2013 Spin-embeddings, two-intersection sets and two-weight codes. Zbl 1289.94066 Cardinali, Ilaria; De Bruyn, Bart 2 2013 Non-classical hyperplanes of \(\mathrm{DW}(5,q)\). Zbl 1270.51002 De Bruyn, Bart 1 2013 The pseudo-hyperplanes and homogeneous pseudo-embeddings of \(\mathrm{AG}(n, 4)\) and \(\mathrm{PG}(n, 4)\). Zbl 1248.51001 De Bruyn, Bart 9 2012 On the trivectors of a 6-dimensional symplectic vector space. II. Zbl 1277.15020 De Bruyn, B.; Kwiatkowski, M. 7 2012 Dual embeddings of dense near polygons. Zbl 1265.51002 De Bruyn, Bart 5 2012 On sets of odd type of \(\mathrm{PG}(n,4)\) and the universal embedding of the dual polar space \(\mathrm{DH}(2n-1,4)\). Zbl 1262.51009 De Bruyn, Bart 1 2012 On the universal embedding of the near hexagon related to the extended ternary Golay code. Zbl 1237.05031 De Bruyn, Bart 1 2012 On polyvectors of vector spaces and hyperplanes of projective Grassmannians. Zbl 1278.15027 De Bruyn, Bart 7 2011 A note on the spin-embedding of the dual polar space \(DQ^{-}(2n+1, \mathbb {K})\). Zbl 1265.51001 De Bruyn, Bart 6 2011 On the trivectors of a 6-dimensional symplectic vector space. Zbl 1233.15010 De Bruyn, B.; Kwiatkowski, M. 6 2011 Dense near octagons with four points on each line. III. Zbl 1233.05068 De Bruyn, Bart 5 2011 The hyperplanes of finite symplectic dual polar spaces which arise from projective embeddings. Zbl 1232.51003 De Bruyn, Bart 4 2011 On extensions of hyperplanes of dual polar spaces. Zbl 1262.51004 De Bruyn, Bart 4 2011 Non-Abelian representations of the slim dense near hexagons on 81 and 243 points. Zbl 1209.51002 De Bruyn, B.; Sahoo, B. K.; Narasimha Sastry, N. S. 2 2011 The valuations of the near \(2n\)-gon \(\mathbb {I}_{n}\). Zbl 1249.51002 De Bruyn, Bart 1 2011 Intriguing sets of vertices of regular graphs. Zbl 1230.05297 De Bruyn, Bart; Suzuki, Hiroshi 17 2010 On hyperovals of polar spaces. Zbl 1204.51006 De Bruyn, Bart 14 2010 On the Grassmann modules for the symplectic groups. Zbl 1204.15037 de Bruyn, Bart 9 2010 On the Grassmann modules for the unitary groups. Zbl 1236.15076 de Bruyn, Bart 5 2010 The hyperplanes of the \(U_{4}(3)\) near hexagon. Zbl 1230.05294 De Bruyn, Bart; Shpectorov, Sergey 5 2010 Regular partitions of dual polar spaces. Zbl 1190.51004 Cardinali, Ilaria; De Bruyn, Bart 2 2010 The hyperplanes of \(DQ^-(7,\mathbb K)\) arising from embedding. Zbl 1228.51004 De Bruyn, Bart 2 2010 The nonexistence of regular near octagons with parameters \((s,t,t_2,t_3)=(2,24,0,8)\). Zbl 1204.05034 De Bruyn, Bart 2 2010 On geometric SDPS-sets of elliptic dual polar spaces. Zbl 1194.51008 de Bruyn, Bart 2 2010 A property of isometric mappings between dual polar spaces of type \(DQ(2n,{\mathbb{K}})\). Zbl 1235.51003 De Bruyn, Bart 1 2010 The valuations of the near octagon \(\mathbb G_4\). Zbl 1200.51005 de Bruyn, B.; Vandecasteele, P. 1 2010 Some subspaces of the projective space \(PG(\bigwedge^{k}\)V) related to regular spreads of \(PG(V)\). Zbl 1238.51001 De Bruyn, Bart 1 2010 Some subspaces of the \(k\)th exterior power of a symplectic vector space. Zbl 1167.15023 De Bruyn, Bart 18 2009 On the simple connectedness of hyperplane complements in dual polar spaces. Zbl 1160.51004 Cardinali, I.; de Bruyn, B.; Pasini, A. 15 2009 The hyperplanes of \(DW(5,2^h)\)which arise from embedding. Zbl 1160.51006 De Bruyn, Bart 12 2009 On symplectic polar spaces over non-perfect fields of characteristic 2. Zbl 1193.51003 De Bruyn, B.; Pasini, A. 10 2009 Polarized and homogeneous embeddings of dual polar spaces. Zbl 1204.51003 Blok, R. J.; Cardinali, I.; De Bruyn, B.; Pasini, A. 9 2009 Points and hyperplanes of the universal embedding space of the dual polar space DW\((5,q)\), \(q\) odd. Zbl 1173.51002 Cooperstein, Bruce N.; De Bruyn, B. 9 2009 On the nucleus of the Grassmann embedding of the symplectic dual polar space DSp\((2n,\mathbb F)\), char(\(\mathbb F) = 2\). Zbl 1159.51003 Blok, Rieuwert J.; Cardinali, Ilaria; de Bruyn, Bart 7 2009 On a class of hyperplanes of the symplectic and Hermitian dual polar spaces. Zbl 1169.51003 De Bruyn, Bart 6 2009 Hyperplanes of embeddable Grassmannians arise from projective embeddings: A short proof. Zbl 1161.51002 de Bruyn, Bart 5 2009 The valuations of the near polygon G\(_{n}\). Zbl 1194.51007 De Bruyn, Bart 5 2009 Hyperplanes of \(DW(5,{\mathbb{K}})\) with \({\mathbb{K}}\) a perfect field of characteristic 2. Zbl 1219.51003 De Bruyn, Bart 3 2009 An alternative definition of the notion valuation in the theory of near polygons. Zbl 1181.05019 De Bruyn, Bart 2 2009 On isometric full embeddings of symplectic dual polar spaces into Hermitian dual polar spaces. Zbl 1166.51002 De Bruyn, Bart 2 2009 On the intersection of distance-\(j\)-ovoids and subpolygons of generalized polygons. Zbl 1170.51003 De Bruyn, Bart 2 2009 The uniqueness of the SDPS-set of the symplectic dual polar space \(DW(4n - 1,q),n\geq 2\). Zbl 1169.51006 De Bruyn, Bart 1 2009 The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces. Zbl 1158.51001 Cardinali, Ilaria; De Bruyn, Bart 18 2008 The hyperplanes of \(DH(5, q^{2})\). Zbl 1158.51002 De Bruyn, Bart; Pralle, Harm 18 2008 On the Grassmann-embeddings of the Hermitian dual polar spaces. Zbl 1155.51001 De Bruyn, Bart 15 2008 Isometric full embeddings of \(DW(2n - 1,q)\) into \(DH(2n - 1,q^{2}\)). Zbl 1139.51009 De Bruyn, B. 11 2008 The structure of the spin-embeddings of dual polar spaces and related geometries. Zbl 1146.51003 De Bruyn, Bart 10 2008 Two new classes of hyperplanes of the dual polar space \(DH(2n-1,4)\) not arising from the Grassmann embedding. Zbl 1160.51003 De Bruyn, Bart 6 2008 The combinatorial properties of the hyperplanes of \(D\)W\((5,q)\) arising from embedding. Zbl 1192.51002 Cooperstein, B. N.; De Bruyn, B. 4 2008 Two classes of hyperplanes of dual polar spaces without subquadrangular quads. Zbl 1187.51002 de Bruyn, Bart 3 2008 The hyperplanes of the near hexagon on the 2-factors of the complete graph \(K_8\). Zbl 1178.05079 de Bruyn, Bart; Pralle, Harm 3 2008 A coordinatization structure for generalized quadrangles with a regular spread. Zbl 1128.51003 De Bruyn, Bart 2 2008 A characterization of \(m\)-ovoids and \(i\)-tight sets of polar spaces. Zbl 1153.51005 de Bruyn, Bart 2 2008 Minimal full polarized embeddings of dual polar spaces. Zbl 1110.51003 Cardinali, Ilaria; De Bruyn, Bart; Pasini, Antonio 26 2007 The hyperplanes of \(DQ(2n, \mathbb K)\) and \(DQ^{ - }(2n+1,q)\) which arise from their spin-embeddings. Zbl 1116.51003 De Bruyn, Bart 18 2007 A decomposition of the natural embedding spaces for the symplectic dual polar spaces. Zbl 1122.51003 De Bruyn, Bart 16 2007 The exceptional hyperplanes of \(DH(5,4)\). Zbl 1132.51004 De Bruyn, Bart; Pralle, Harm 15 2007 The classification of the slim dense near octagons. Zbl 1107.05019 De Bruyn, Bart; Vandecasteele, Pieter 14 2007 Generating symplectic and Hermitian dual polar spaces over arbitrary fields nonisomorphic to \(\mathbb F_{2}\). Zbl 1169.51004 De Bruyn, Bart; Pasini, Antonio 13 2007 Minimal scattered sets and polarized embeddings of dual polar spaces. Zbl 1126.51004 De Bruyn, Bart; Pasini, Antonio 8 2007 A characterization of the SDPS-hyperplanes of dual polar spaces. Zbl 1143.51004 De Bruyn, Bart 6 2007 The valuations of the near octagon \({\mathbb{H}}_4\). Zbl 1146.51004 De Bruyn, B.; Vandecasteele, P. 4 2007 Valuations of glued near hexagons. Zbl 1111.51005 De Bruyn, Bart 3 2007 ...and 48 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 134 Authors 134 De Bruyn, Bart 26 Cardinali, Ilaria 18 Pasini, Antonio 14 Van Maldeghem, Hendrik J. 11 Sahoo, Binod Kumar 10 Cossidente, Antonio 8 Giuzzi, Luca 8 Pavese, Francesco 7 Kwiatkowski, Mariusz 6 Bishnoi, Anurag 6 Vandecasteele, Pieter 5 De Schepper, Anneleen 5 D’haeseleer, Jozefien 5 Gao, Mou 5 Narasimha Sastry, N. S. 5 Pralle, Harm 4 Bamberg, John 4 Blok, Rieuwert J. 4 Cooperstein, Bruce N. 4 Marino, Giuseppe 4 Pradhan, Puspendu 4 Sahu, Bikramaditya 4 Schillewaert, Jeroen 4 Shpectorov, Sergey Viktorovich 3 Ihringer, Ferdinand 3 Koolen, Jack H. 3 McInroy, Justin F. 3 Metsch, Klaus 3 Storme, Leo 3 Vanhove, Frédéric 2 Abiad, Aida 2 De Beule, Jan 2 De Boeck, Maarten 2 Durante, Nicola 2 Evans, Rhys J. 2 Goryainov, Sergey Viktorovich 2 King, Oliver H. 2 Korhonen, Mikko 2 Krotov, Denis S. 2 Mannaert, Jonathan 2 Parkinson, James 2 Praeger, Cheryl Elisabeth 2 Qiao, Zhi 2 Suzuki, Hiroshi 2 Švob, Andrea 2 Thas, Joseph Adolphe 2 Thas, Koen 1 Alghamdi, Mohammed Ali 1 Alotaibi, Abdullah M. 1 Amarra, Carmen 1 Bailey, Robert F. 1 Baraglia, David 1 Blokhuis, Aart 1 Brouwer, Andries Evert 1 Brown, Matthew R. 1 Cara, Philippe 1 Crnković, Dean 1 Cuypers, Hans 1 de Winter, Stefaan 1 De Wispelaere, An 1 Feng, Tao 1 Fernández, Blas 1 Fickus, Matthew C. 1 Filmus, Yuval 1 Fuhlbrück, Frank 1 Gao, Suogang 1 Gavrilyuk, Alexander L. 1 Ge, Gennian 1 Glasby, Stephen Peter 1 Govaerts, Patrick 1 Grundhöfer, Theo 1 Guo, Jun 1 Haemers, Willem H. 1 Hallez, Anja 1 Havlicek, Hans 1 Hou, Bo 1 Hou, Lihang 1 Jasper, John Sahayam 1 Jedwab, Jonathan 1 Jena, Dibyayoti Dhananjay 1 Jin, Wei 1 Jurišić, Aleksandar 1 Köbler, Johannes 1 Konstantinova, Elena V. 1 Lansdown, Jesse 1 Lavrauw, Michel 1 Lee, Melissa 1 Lévay, Péter 1 Li, Shuxing 1 Li, Weicong 1 Lin, Cong 1 Lu, Jianbing 1 Lunardon, Guglielmo 1 Maleki, Roghayeh 1 Mattheus, Sam 1 Meagher, Karen 1 Mednykh, Aleksandr Dmitrievich 1 Miklavič, Štefko 1 Mixon, Dustin G. 1 Mogilnykh, Ivan Yurevich ...and 34 more Authors all top 5 Cited in 48 Serials 33 Discrete Mathematics 25 Journal of Combinatorial Theory. Series A 24 Designs, Codes and Cryptography 18 Journal of Algebraic Combinatorics 17 Linear Algebra and its Applications 14 European Journal of Combinatorics 12 The Electronic Journal of Combinatorics 9 Graphs and Combinatorics 9 Annals of Combinatorics 8 Advances in Geometry 6 Journal of Algebra 6 Finite Fields and their Applications 5 Journal of Geometry 4 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 4 Journal of Combinatorial Designs 3 Discrete Applied Mathematics 3 Geometriae Dedicata 2 Linear and Multilinear Algebra 2 Results in Mathematics 2 Combinatorica 2 Innovations in Incidence Geometry 2 Contributions to Discrete Mathematics 1 Communications in Algebra 1 Letters in Mathematical Physics 1 Beiträge zur Algebra und Geometrie 1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg 1 Annales de l’Institut Fourier 1 Applied Mathematics and Computation 1 Archiv der Mathematik 1 Bulletin of the London Mathematical Society 1 Dissertationes Mathematicae 1 Glasgow Mathematical Journal 1 Journal of Combinatorial Theory. Series B 1 Mathematische Annalen 1 Michigan Mathematical Journal 1 SIAM Journal on Discrete Mathematics 1 Forum Mathematicum 1 The Australasian Journal of Combinatorics 1 Experimental Mathematics 1 Applied and Computational Harmonic Analysis 1 ELA. The Electronic Journal of Linear Algebra 1 Journal of the European Mathematical Society (JEMS) 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Science China. Mathematics 1 Mathematics 1 Quantum Studies: Mathematics and Foundations 1 Algebraic Combinatorics 1 Combinatorial Theory all top 5 Cited in 19 Fields 196 Geometry (51-XX) 105 Combinatorics (05-XX) 24 Group theory and generalizations (20-XX) 22 Linear and multilinear algebra; matrix theory (15-XX) 10 Algebraic geometry (14-XX) 10 Information and communication theory, circuits (94-XX) 3 Number theory (11-XX) 3 Computer science (68-XX) 2 Convex and discrete geometry (52-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Commutative algebra (13-XX) 1 Nonassociative rings and algebras (17-XX) 1 Difference and functional equations (39-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Differential geometry (53-XX) 1 Manifolds and cell complexes (57-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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