Brouwer, A. E. (Andries Evert)
Overview
Works:  239 works in 475 publications in 3 languages and 2,036 library holdings 

Genres:  Academic theses Textbooks 
Roles:  Author, Dissertant, Other, Contributor, Thesis advisor 
Classifications:  QA166, 511.5 
Publication Timeline
.
Most widely held works by
A. E Brouwer
Spectra of graphs by
A. E Brouwer(
)
15 editions published in 2012 in English and held by 445 WorldCat member libraries worldwide
Annotation
15 editions published in 2012 in English and held by 445 WorldCat member libraries worldwide
Annotation
Distanceregular graphs by
A. E Brouwer(
Book
)
13 editions published in 1989 in English and German and held by 441 WorldCat member libraries worldwide
13 editions published in 1989 in English and German and held by 441 WorldCat member libraries worldwide
Treelike spaces and related connected topological spaces by
A. E Brouwer(
Book
)
13 editions published between 1976 and 1977 in English and held by 149 WorldCat member libraries worldwide
13 editions published between 1976 and 1977 in English and held by 149 WorldCat member libraries worldwide
Strongly regular graphs by
A. E Brouwer(
)
7 editions published in 2022 in English and held by 134 WorldCat member libraries worldwide
Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, twoweight codes and graphs related to combinatorial configurations such as Latin squares, quasisymmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces
7 editions published in 2022 in English and held by 134 WorldCat member libraries worldwide
Strongly regular graphs lie at the intersection of statistical design, group theory, finite geometry, information and coding theory, and extremal combinatorics. This monograph collects all the major known results together for the first time in book form, creating an invaluable text that researchers in algebraic combinatorics and related areas will refer to for years to come. The book covers the theory of strongly regular graphs, polar graphs, rank 3 graphs associated to buildings and Fischer groups, cyclotomic graphs, twoweight codes and graphs related to combinatorial configurations such as Latin squares, quasisymmetric designs and spherical designs. It gives the complete classification of rank 3 graphs, including some new constructions. More than 100 graphs are treated individually. Some unified and streamlined proofs are featured, along with original material including a new approach to the (affine) half spin graphs of rank 5 hyperbolic polar spaces
Spectra of graphs by
A. E Brouwer(
Book
)
1 edition published in 2012 in English and held by 98 WorldCat member libraries worldwide
1 edition published in 2012 in English and held by 98 WorldCat member libraries worldwide
Distanceregular graphs by
A. E Brouwer(
)
8 editions published between 1989 and 2012 in English and German and held by 94 WorldCat member libraries worldwide
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distanceregular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distanceregular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book
8 editions published between 1989 and 2012 in English and German and held by 94 WorldCat member libraries worldwide
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distanceregular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distanceregular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book
DistanceRegular Graphs by
A. E Brouwer(
)
in English and held by 19 WorldCat member libraries worldwide
in English and held by 19 WorldCat member libraries worldwide
On the existence of 30 mutually orthogonal Latin squares by
A. E Brouwer(
Book
)
3 editions published in 1980 in English and Undetermined and held by 13 WorldCat member libraries worldwide
3 editions published in 1980 in English and Undetermined and held by 13 WorldCat member libraries worldwide
The number of mutually orthogonal latin squaresA table up to order 10.000 by
A. E Brouwer(
Book
)
6 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
6 editions published in 1979 in English and held by 12 WorldCat member libraries worldwide
On the edgecolouring problem for unions of complete uniform hypergraphs by
A. E Brouwer(
Book
)
6 editions published in 1979 in English and Undetermined and held by 11 WorldCat member libraries worldwide
6 editions published in 1979 in English and Undetermined and held by 11 WorldCat member libraries worldwide
The uniqueness of the near hexagon on 759 points by
A. E Brouwer(
Book
)
4 editions published in 1981 in English and held by 10 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 10 WorldCat member libraries worldwide
Local recognition of Tits geometries of classical type by
A. E Brouwer(
Book
)
5 editions published between 1983 and 1986 in English and Undetermined and held by 9 WorldCat member libraries worldwide
5 editions published between 1983 and 1986 in English and Undetermined and held by 9 WorldCat member libraries worldwide
Some lotto numbers from an extension of Turán's theorem by
A. E Brouwer(
Book
)
5 editions published between 1980 and 1981 in English and held by 9 WorldCat member libraries worldwide
5 editions published between 1980 and 1981 in English and held by 9 WorldCat member libraries worldwide
The enumeration of locally transitive tournaments by
A. E Brouwer(
Book
)
4 editions published in 1980 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 1980 in English and held by 9 WorldCat member libraries worldwide
The uniqueness of the strongly regular graph on 77 points by
A. E Brouwer(
Book
)
5 editions published in 1980 in English and held by 9 WorldCat member libraries worldwide
5 editions published in 1980 in English and held by 9 WorldCat member libraries worldwide
Computation of some parameters of Lie geometries by
A. E Brouwer(
Book
)
4 editions published in 1983 in English and held by 9 WorldCat member libraries worldwide
4 editions published in 1983 in English and held by 9 WorldCat member libraries worldwide
A generalization of Baranyai's theorem by
A. E Brouwer(
Book
)
4 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1976 in English and held by 8 WorldCat member libraries worldwide
Regular near polygons do contain hexes by
A. E Brouwer(
Book
)
6 editions published in 1981 in English and Undetermined and held by 8 WorldCat member libraries worldwide
6 editions published in 1981 in English and Undetermined and held by 8 WorldCat member libraries worldwide
Cursus cryptografie(
Book
)
1 edition published in 1983 in Dutch and held by 8 WorldCat member libraries worldwide
1 edition published in 1983 in Dutch and held by 8 WorldCat member libraries worldwide
Strongly regular graphs where mu equals two and lambda is large by
A. E Brouwer(
Book
)
4 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
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Audience Level
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1  
General  Special 
Related Identities
 Cohen, Arjeh M. Other Thesis advisor
 Neumaier, A.
 Haemers, W. H. Other Author Contributor
 Maldenghem, H. Van
 Schrijver, A.
 SpringerLink (Online service) Other
 Wilbrink, H. A. Author
 Wilbrink, H. A. Author
 Stichting Mathematisch centrum, Amsterdam
 Blokhuis, A. Other Author
Useful Links
Associated Subjects
Algebra Calculus of variations Combinatorial analysis Combinatorial designs and configurations Combinatorial enumeration problems Combinatorial packing and covering Cryptography Extremal problems (Mathematics) Finite geometries Geometry Geometry, Algebraic Graph connectivity Graph theory Group theory Hexagons Hypergraphs Magic squares Mathematical optimization Mathematics Matrices Ordered topological spaces Polygons Spectral theory (Mathematics) Steiner systems System theory Topological spaces
Covers
Alternative Names
Andries Brouwer Mathematician, computer programmer
Andries Brouwer mathématicien et informaticien néerlandais
Andries Brouwer Nederlands wiskundige
Andries Brouwer niederländischer Mathematiker und Informatiker
Brouwer, A. E.
Brouwer, A. E. 1951
Brouwer, Andries
Brouwer, Andries 1951
Brouwer, Andries E.
Brouwer, Andries Evert
Brouwer, Andries Evert 1951
Андрис Браувер
أندريس بروير
اندريس بروير باحث من مملكه نيديرلاند
Languages