Andries Brouwer
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Computer Science Mathematics
Andries Brouwer's Degrees
- PhD Mathematics University of Amsterdam
- Masters Mathematics University of Amsterdam
Why Is Andries Brouwer Influential?
(Suggest an Edit or Addition)According to Wikipedia, Andries Evert Brouwer is a Dutch mathematician and computer programmer, Professor Emeritus at Eindhoven University of Technology . He is known as the creator of the greatly expanded 1984 to 1985 versions of the roguelike computer game Hack that formed the basis for NetHack. He is also a Linux kernel hacker. He is sometimes referred to by the handle aeb.
Andries Brouwer's Published Works
Published Works
- Spectra of Graphs (2011) (2158)
- Distance Regular Graphs (1989) (905)
- A new table of constant weight codes (1990) (436)
- Association schemes (1996) (207)
- Strongly regular graphs and partial geometries (1984) (168)
- Bounds on the size of linear codes (1998) (158)
- Optimal Packings of K4's into a Kn (1979) (148)
- The structure of near polygons with quads (1983) (146)
- Bounds for binary codes of length less than 25 (1978) (142)
- Group divisible designs with block-size four (2006) (140)
- The Blocking Number of an Affine Space (1978) (122)
- On the Number of Slopes of the Graph of a Function Defined on a Finite Field (1999) (117)
- Eigenvalues and perfect matchings (2005) (103)
- On the p-Rank of the Adjacency Matrices of Strongly Regular Graphs (1992) (101)
- Block designs (1996) (91)
- The Gewirtz Graph: An Exercise in the Theory of Graph Spectra (1993) (89)
- Mutually orthogonal latin squares (1978) (84)
- A Hilton-Milner Theorem for Vector Spaces (2010) (84)
- Near polygons and Fischer spaces (1994) (82)
- Bounds on Mixed Binary/Ternary Codes (1998) (79)
- More mutually orthogonal latin squares (1982) (77)
- Error-Correcting Codes over an Alphabet of Four Elements (2000) (66)
- Some unitals on 28 points and their embeddings in projective planes of order 9 (1981) (65)
- The Correspondence Between Projective Codes and 2-weight Codes (1997) (63)
- On the period of an operator, defined on antichains (1974) (61)
- Contractibility and NP-completeness (1987) (60)
- The number of mutually orthogonal latin squares; a table up to order 10000 (1979) (60)
- The graphs with spectral radius between 2 and 2+5 (1989) (58)
- Doing More with Fewer Bits (1999) (58)
- The Connectivity of Strongly Regular Graphs (1985) (52)
- Locally 4-by-4 grid graphs (1989) (52)
- Blocking sets in desarguesian projective planes (1986) (52)
- Width and dual width of subsets in polynomial association schemes (2003) (45)
- A Lower Bound for the Laplacian Eigenvalues of a Graph-Proof of a Conjecture by Guo (2008) (45)
- Structure and uniqueness of the (81, 20, 1, 6) strongly regular graph (1992) (44)
- Strongly Regular Graphs (2022) (43)
- Cyclotomy and Strongly Regular Graphs (1999) (43)
- Small Integral Trees (2008) (43)
- Two new nearly Kirkman triple systems (1977) (42)
- The Distance-Regular Graphs of Valency Four (1999) (42)
- Steiner triple systems without forbidden subconfigurations (1977) (41)
- A lower bound for the length of partial transversals in a latin square (1978) (41)
- Spanning point-line geometries in buildings of spherical type (1998) (40)
- The vertex-connectivity of a distance-regular graph (2009) (39)
- The Universal Embedding Dimension of the Binary Symplectic Dual Polar Space (2003) (39)
- The invariants of the binary decimic (2010) (38)
- The Number of Directions Determined by a Function f on a Finite Field (1995) (38)
- Toughness and spectrum of a graph (1995) (37)
- Local recognition of tits geometries of classical type (1986) (37)
- Orthogonal arrays of strength 3 and small run sizes (2006) (36)
- A sharpening of the Johnson bound for binary linear codes and the nonexistence of linear codes with preparata parameters (1993) (36)
- A Series of Separable Designs with Application to Pairwise Orthogonal Latin Squares (1980) (36)
- Hermitian unitals are code words (1991) (35)
- Graphs whose neighborhoods have no special cycles (1983) (34)
- Some remarks on Tits geometries (1983) (34)
- The triply shortened binary Hamming code is optimal (1977) (34)
- An infinite series of symmetric designs (1983) (33)
- The geometry far from a residue (1998) (33)
- The complement of a geometric hyperplane in a generalized polygon is usually connected (1993) (33)
- Ovoids and fans in the generalized quadrangle Q(4, 2) (1990) (32)
- On the chromatic number of q-Kneser graphs (2012) (32)
- The invariants of the binary nonic (2010) (32)
- A new family of distance-regular graphs and the {0, 1, 2}-cliques in dual polar graphs (1992) (31)
- Small additive quaternary codes (2004) (31)
- Cospectral Graphs on 12 Vertices (2009) (31)
- The uniqueness of the near hexagon on 729 points (1982) (31)
- The smallest eigenvalues of Hamming graphs, Johnson graphs and other distance-regular graphs with classical parameters (2017) (31)
- Equivariant Gröbner bases and the Gaussian two-factor model (2009) (31)
- A (57,14,1) strongly regular graph does not exist (1978) (30)
- Highly Symmetric Subgraphs of Hypercubes (1993) (29)
- Blocking sets in $PG(2,p)$ for small $p$, and partial spreads in $PG(3,7)$ (2003) (29)
- Directed strongly regular graphs from -designs (2012) (28)
- A 64-Dimensional Counterexample to Borsuk's Conjecture (2014) (28)
- Distance regular graphs of diameter 3 and strongly regular graphs (1984) (28)
- The distance-regular antipodal covers of classical distance-regular graphs (1988) (27)
- Some remarks on Tits geometries. With an appendix by J. Tits (1983) (27)
- A note on completely regular codes (1990) (26)
- The Integral Trees With Spectral Radius 3 (2007) (26)
- On three-rowed Chomp (2005) (25)
- The uniqueness of the strongly regular graph on 77 points (1983) (25)
- Notes on binary codes related to the O(5, q) generalized quadrangle for odd q (1991) (25)
- Spectrum and connectivity of graphs (1996) (25)
- Some new two-weight codes and strongly regular graphs (1985) (25)
- Four mols of order 10 with a hole of order 2 (1984) (25)
- Some new strongly regular graphs (1989) (24)
- Directed strongly regular graphs (2007) (24)
- The enumeration of locally transitive tournaments (1980) (24)
- Covering all points except one (2010) (24)
- A new 5-design (1977) (23)
- Some lotto numbers from an extension of turan's theorem (1981) (23)
- Cocliques in the Kneser graph on the point-hyperplane flags of a projective space (2014) (23)
- On q-analogues and stability theorems (2011) (22)
- Classification of small (0, 2)-graphs (2006) (21)
- A few new constant weight codes (1979) (21)
- On the Size of a Maximum Transversal in a Steiner Triple System (1981) (20)
- A super-balanced hypergraph has a nest point (1980) (20)
- Blocking sets in translation planes (1982) (20)
- On the uniqueness of a certain thin near octagon (or partial 2-geometry, or parallelism) derived from the binary Golay code (1983) (20)
- The linear programming bound for binary linear codes (1993) (19)
- A Root Graph that is Locally the Line Graph of the Peterson Graph (2003) (19)
- Some new distance-4 constant weight codes (2011) (19)
- On the packing of quadruples without common triples : (preprint) (1977) (17)
- A few new constant weight codes (Corresp.) (1980) (17)
- Optimal packings of $K_4$'s into a K$_n$ : the case n $\equiv$ 5 (mod 6) (1976) (17)
- Computation of Some Parameters of Lie Geometries (1983) (16)
- Subspaces of Linear Spaces of Line Size 4 (1981) (16)
- The linear spaces on 15 points (1981) (15)
- Extension of colourings of the edges of a complete (uniform hyper)graph (1979) (15)
- The locally icosahedral graphs (1985) (14)
- Uniqueness and nonexistence of some graphs related toM22 (1986) (14)
- Special Regular Graphs (1989) (13)
- Counting Families of Mutually Intersecting Sets (2013) (13)
- Determination of the distance-regular graphs without 3-claws (1997) (13)
- A non-degenerate generalized quadrangle with lines of size four is finite (1991) (13)
- The poincare series of the polynomials invariant under $SU_2$ in its irreducible representation of degree $\leq$ 17 (1979) (12)
- On the pRank of the Adjacency Matrices of Strongly Regular Graphs (2003) (12)
- The Hyperplanes of the M24 Near Polygon (2002) (12)
- Tables of Parameters for Distance Regular Graphs (1989) (12)
- Binomial Collisions and Near Collisions (2017) (11)
- Heden's bound on maximal partial spreads (1989) (11)
- A remark on partial linear spaces of girth 5 with an application to strongly regular graphs (1988) (11)
- Distance-Transitive Graphs (1989) (11)
- Treelike spaces and related connected topological spaces (1977) (11)
- Chapter 5 - Recursive Constructions of Mutually Orthogonal Latin Squares (1991) (10)
- The Universal Embedding Dimension of the Near Polygon on the 1-Factors of a Complete Graph (1999) (10)
- Uniqueness of a Zara graph on 126 points and non-existence of a completely regular two-graph on 288 points (1984) (10)
- An inequality on the parameters of distance regular graphs and the uniqueness of a graph related to M23. (1987) (10)
- Turán theory and the lotto problem (1979) (10)
- Equivariant Grbner bases and the two-factor model (2009) (10)
- GODSIL-MCKAY SWITCHING AND ISOMORPHISM (2014) (9)
- Classification of the (0, 2)-graphs of valency 8 (2009) (9)
- Graphs with Few Eigenvalues (2012) (9)
- The eigenvalues of oppositeness graphs in buildings of spherical type (2010) (9)
- The complete list of maximal cliques of Quad(n, q), q odd (1995) (8)
- The t-designs with v < 18 (1977) (8)
- The decomposition of graphs into ladder graphs (1980) (8)
- Note on the size of binary Armstrong codes (2014) (8)
- SL2-modules of small homological dimension (2011) (8)
- Lossy Gossip and Composition of Metrics (2014) (8)
- Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices (1981) (8)
- Finite graphs in which the point neighbourhoods are the maximal independent sets (1994) (8)
- A characterization of some graphs which do not contain 3-claws (1994) (8)
- Some 2-ranks (1992) (8)
- Geodetic graphs of diameter two (1988) (7)
- On the edge-colouring problem for unions of complete uniform hypergraphs (1981) (7)
- Near polygons with lines of size three and Fischer spaces (1983) (7)
- Eigenvalues and Eigenvectors of Graphs (2012) (7)
- Cocliques in the Kneser graph on line-plane flags in PG(4;q) (2017) (7)
- On complete regularity of extended codes (1993) (7)
- Distance-regular graphs where the distance-d graph has fewer distinct eigenvalues (2014) (7)
- A characterization of supercompactness with an application to treelike spaces (1974) (7)
- On the (23, 14, 5) Wagner code (Corresp.) (1980) (7)
- Maximal cocliques in the Kneser graph on point-plane flags in PG(4, q) (2014) (7)
- An Erdös-Ko-Rado theorem for regular intersecting families of octads (1986) (6)
- On the number of unique subgraphs of a graph (1975) (6)
- Chapter 8 – Block Designs (1995) (6)
- A New Distance-Regular Graph Associated to the Mathieu Group M10 (1998) (6)
- Embedding partial geometrics in Steiner designs (1997) (6)
- A construction of the sporadic Suzuki graph from U3(4) (2009) (6)
- On the existence of 30 mutually orthogonal latin squares (1980) (6)
- On dual pairs of antichains (1975) (5)
- A Remark on Association Schemes with Two P-polynomial Structures (1989) (5)
- Counting Symmetric Nilpotent Matrices (2014) (5)
- The vertex connectivity of a {0, 2}-graph equals its degree (1997) (5)
- A unital in the hughes plane of order nine (1989) (5)
- A(17,6,4) = 20 or the nonexistence of the scarce design sd(4,1 ;17,21) (1975) (5)
- Tight bounds for break minimization in tournament scheduling (2008) (5)
- THE DEGREES OF A SYSTEM OF PARAMETERS OF THE RING OF INVARIANTS OF A BINARY FORM (2014) (5)
- On the topological characterization of the real line (1971) (5)
- Integral trees homeomorphic to a double star (2011) (5)
- On 3-chromatic distance-regular graphs (2006) (5)
- On the nonexistence of certain planar spaces (1978) (4)
- On the uniqueness of a regular thin near octagon on 288 vertices (or the semibiplane belonging to the Mathieu group M12) (1994) (4)
- A characterization of two classes of semi partial geometries by their parameters : (preprint) (1982) (4)
- Theory of Distance-Regular Graphs (1989) (4)
- Notes on simplicial rook graphs (2014) (4)
- Sudoku puzzles and how to solve them (2006) (4)
- On associative block designs (1976) (4)
- Spectral characterization of a graph on the flags of the eleven point biplane (2012) (4)
- Sylvester versus Gundelfinger (2012) (4)
- Locally Paley Graphs (2000) (4)
- Rapid analysis of dichloran, lindane, PCNB and TCNB residues in lettuce by automated gas-liquid chromatography. (1974) (4)
- A note on the covering of all triples on 7 points with steiner triple systems (1976) (4)
- Tight bounds for break minimization (2007) (4)
- Two distance-regular graphs (2011) (4)
- Finite Geometry and Combinatorics: Locally co-Heawood graphs (1993) (4)
- A new infinite series of regular uniformly geodetic code graphs (1993) (4)
- The nonexistence of a regular near hexagon on 1408 points (1981) (3)
- The nonexistence of distance-regular graphs with intersection arrays {27, 20, 10;1, 2, 18} and {36, 28, 4;1, 2, 24} (2016) (3)
- Blocking sets of the classical unital (2015) (3)
- A note on magic graphs (1972) (3)
- A compact treelike space is the continuous image of an ordered continuum (1974) (3)
- A generalization of baranyai's theorem (1976) (3)
- Graphs with Odd Cocliques (1990) (3)
- Uniqueness of the Biggs-Smith Graph (1988) (3)
- A Note on 'Master Keys for Group Sharing' (1982) (3)
- Two infinite sequences of near polygons : (preprint) (1983) (3)
- Regular Two-graphs (2012) (3)
- There Exist Caps Which Block All Spaces of Fixed Codimension in G (n, 2) (1996) (3)
- Counterexamples to Conjectures About Subset Takeaway and Counting Linear Extensions of a Boolean Lattice (2017) (3)
- Characterization of the Patterson graph (2008) (3)
- On the edge-colouring property for the hereditary closure of a complete uniform hypergraph (1977) (3)
- A note on certain oscillating sums (1976) (3)
- A note on the uniqueness of the Johnson scheme (1983) (2)
- Some non-isomorphic bibds b(4,1;v) (1977) (2)
- Two number theoretic sums (1974) (2)
- Self-dual, not self-polar (2006) (2)
- Q-polynomial Distance-Regular Graphs (1989) (2)
- The Spectra of Coxeter Graphs (1998) (2)
- Strongly regular graphs where mu equals two and lambda is large (1981) (2)
- The Second-Largest Eigenvalue (2012) (2)
- Uniqueness of codes using semidefinite programming (2017) (2)
- The hyperplanes of the M 24 near polygon (2)
- A Symmetric Design with Parameters 2-(49, 16, 5) (1984) (2)
- Lie algebras, 2-groups and cotriangular spaces (2012) (2)
- Locally K3, 3 or Petersen graphs (1992) (2)
- A characterization of connected (weakly) orderable spaces (1971) (1)
- An inequality in binary vector spaces (1986) (1)
- Optimal packings of k 's into k : (preprint) (1977) (1)
- Automatic summation using Zeilberger-Wilf theory (2002) (1)
- Topics in algebraic graph theory (2008) (1)
- Hamiltonian Strongly Regular Graphs (2008) (1)
- Recursive construction of mutually orthogonal Latin squares (1991) (1)
- Blocking sets of the Hermitian unital (2015) (1)
- Triple systems and associated differences (1976) (1)
- Orbits on points and lines in finite linear and quasilinear spaces (1987) (1)
- Universally noncommutative loops (2011) (1)
- Blocking sets in for small , and partial spreads in . (2003) (1)
- Hadamard codes which have an even number of ones in each half (1987) (1)
- The Spectrum of the Second Subconstituent of the Bilinear Forms Graph Hq(d, e) (1998) (1)
- Linear spaces of quadrics and new good codes (1998) (1)
- Recursive Constructions of Mutually Orthogonal Latin _Squares (2007) (1)
- The Families of Graphs with Classical Parameters (1989) (1)
- A note on ***-regular graphs (1980) (1)
- More mutually orthogonal latin squares : (preprint) (1980) (1)
- Variations on a theme by Weetman (1995) (1)
- Silno regularnie grafi i chastichnie geometrii : Strongly regular graphs and partial geometries (1987) (1)
- Regular symmetric Hadamard matrices with constant diagonal (2016) (1)
- Proof of a conjecture by Đoković on the Poincaré series of the invariants of a binary form (2013) (1)
- Regular near polygons do contain hexes : (preprint) (1981) (1)
- Strongly regular graphs satisfying the 4-vertex condition (2021) (1)
- Cocliques in the Kneser graph on the point-hyperplane flags of a projective space (2014) (0)
- The worst covering of points by permutations (1977) (0)
- A family of 2-arc transitive pentagraphs with unbounded valency (2013) (0)
- A group-divisible design GD(4,1,2;n) exists iff $n \equiv 2$ (mod 6), $n \not 8$ (or: the packing of cocktail party graphs with $K_4$'s) (1976) (0)
- Counterexamples to Conjectures About Subset Takeaway and Counting Linear Extensions of a Boolean Lattice (2017) (0)
- Graphs of Coxeter and Lie Type (1989) (0)
- Cocliques in the Kneser graph on line-plane flags in PG(4;q) (2016) (0)
- Changing the horizon (2004) (0)
- Chomp on a binary projective space (2005) (0)
- Uniqueness and Nonexistence of Some Graphs Related to M 2 z (2006) (0)
- Lossy Gossip and Composition of Metrics (2015) (0)
- The graph with spectrum 141 240 (−4)10 (−6)9 (2011) (0)
- A note on the movability of chains (1972) (0)
- Subgeometries of buildings and involutions (2005) (0)
- The linear spaces on 15 points : (preprint) (1979) (0)
- The (70,7,42) QT code has weight distribution (0)
- Groups and Graphs (2012) (0)
- The unique coclique extension property for apartments of buildings (2022) (0)
- Triple intersection numbers for the Paley graphs (2021) (0)
- 12Directed Strongly Regular Graphs (2006) (0)
- R T ] 2 1 Fe b 20 11 SL 2-modules of small homological dimension (2013) (0)
- Notes on simplicial rook graphs (2015) (0)
- Pdp program documentation series, 1; pdp 8 (1975) (0)
- A Collection of MTA – ELTE GAC manuscripts (2017) (0)
- On regular near polygons : Preprint (1982) (0)
- Algebraic Graph Theory (a short course for postgraduate students and researchers) (2008) (0)
- On the connectivity of distance-regular graphs (2004) (0)
- Note on the size of binary Armstrong codes (2012) (0)
- Graphs Related to Classical Geometries (1989) (0)
- Spectral characterization of a graph on the flags of the eleven point biplane (2011) (0)
- Multiplicative division algorithms on the integers (1973) (0)
- 51203-6 — Strongly Regular Graphs (0)
- The generating rank of the space of short vectors in the Leech lattice mod 2 (2012) (0)
- Two distance-regular graphs (2011) (0)
- Resolutions and Betti diagrams of algebras of SL2-invariants (2014) (0)
- Bounds on linear codes over a small alphabet (2003) (0)
- A connected metric space without nontrivial open connected subspaces (1976) (0)
- There are only finitely many distance-regular graphs of valency five, six, or seven (2001) (0)
- Note A Unital in the Hughes Plane of Order Nine (1989) (0)
- Characterization theorems for failed projective and affine planes (1990) (0)
- Parameter Restrictions for Distance-Regular Graphs (1989) (0)
- The generating rank of the space of short vectors in the Leech lattice mod 2 (2012) (0)
- (0, 2)-Graphs and Root Systems (2013) (0)
- Two optimal constant weight codes (1975) (0)
- No . 2004 – 58 EIGENVALUES AND PERFECT MATCHINGS By (2004) (0)
- Uniqueness of codes using semidefinite programming (2018) (0)
- Classification of the Known Distance-Regular Graphs (1989) (0)
- On the chromatic number of q-Kneser graphs (2011) (0)
- The Equivalence of Two Inequalities for Quasisymmetric Designs (2022) (0)
- Van bottom up to bottom down (1999) (0)
- Graphs Related to Codes (1989) (0)
- The uniqueness of the truncated affine plane of order five (1977) (0)
- Embedding the affine plane of order 4 in a linear space with lines of size 4 and 85 points (1978) (0)
- The graph with spectrum 141 240 (−4)10 (−6)9 (2012) (0)
- An Associative Block Design ABD(8, 5) (1999) (0)
- Pdp8-programming, 1 : the kv8/i storage scope and h306 joystick (1974) (0)
- Graphs with balanced star-hypergraph (1975) (0)
- Golay and HiS (2008) (0)
- Majorana algebra for the Hoffman–Singleton graph (2022) (0)
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Andries Brouwer is affiliated with the following schools: