Brouwer, A. E. (Andries Evert)
Overview
Works:  151 works in 402 publications in 3 languages and 1,639 library holdings 

Genres:  Textbooks 
Roles:  Author 
Classifications:  QA166, 511.5 
Publication Timeline
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Most widely held works by
A. E Brouwer
Distanceregular graphs by
A. E Brouwer(
Book
)
18 editions published between 1989 and 2012 in 3 languages and held by 435 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
18 editions published between 1989 and 2012 in 3 languages and held by 435 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
Treelike spaces and related connected topological spaces by
A. E Brouwer(
Book
)
15 editions published between 1976 and 1977 in English and Undetermined and held by 157 WorldCat member libraries worldwide
15 editions published between 1976 and 1977 in English and Undetermined and held by 157 WorldCat member libraries worldwide
Spectra of graphs by
A. E Brouwer(
Book
)
15 editions published in 2012 in English and Undetermined and held by 125 WorldCat member libraries worldwide
Annotation
15 editions published in 2012 in English and Undetermined and held by 125 WorldCat member libraries worldwide
Annotation
Optimal packings of K4's into a Kn : the case n 5 (mod 6) by
A. E Brouwer(
Book
)
10 editions published between 1976 and 1977 in English and held by 13 WorldCat member libraries worldwide
10 editions published between 1976 and 1977 in English and held by 13 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 held by 11 WorldCat member libraries worldwide
3 editions published in 1980 in English and held by 11 WorldCat member libraries worldwide
Some unitals on 28 points ad their embeddings in projective planes of order 9 by
A. E Brouwer(
Book
)
5 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
5 editions published in 1981 in English and held by 8 WorldCat member libraries worldwide
More mutually orthogonal Latin squares by
A. E Brouwer(
Book
)
7 editions published between 1978 and 1980 in English and Undetermined and held by 8 WorldCat member libraries worldwide
7 editions published between 1978 and 1980 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
The number of mutually orthogonal Latin squares : a table up to order 10,000 by
A. E Brouwer(
Book
)
5 editions published in 1979 in English and held by 8 WorldCat member libraries worldwide
5 editions published in 1979 in English and held by 8 WorldCat member libraries worldwide
On the edgecolouring problem for unions of complete uniform hypergraphs by
A. E Brouwer(
Book
)
5 editions published in 1979 in English and held by 8 WorldCat member libraries worldwide
5 editions published in 1979 in English and held by 8 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 8 WorldCat member libraries worldwide
5 editions published in 1980 in English and held by 8 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 7 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 7 WorldCat member libraries worldwide
On the nonexistence of certain planar spaces by
A. E Brouwer(
Book
)
6 editions published in 1978 in English and held by 7 WorldCat member libraries worldwide
6 editions published in 1978 in English and held by 7 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 7 WorldCat member libraries worldwide
6 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
The nonexistence of a regular near hexagon on 1408 points by
A. E Brouwer(
Book
)
6 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
6 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
The Poincaré series of the polynomials invariant under SU2 in its irreducible representation of degree less than 17 by
A. E Brouwer(
Book
)
4 editions published in 1979 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1979 in English and held by 7 WorldCat member libraries worldwide
An inequality in binary vector spaces by
A. E Brouwer(
Book
)
4 editions published in 1981 in English and held by 7 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 7 WorldCat member libraries worldwide
Polarities of G. Higman's symmetric design and a strongly regular graph on 176 vertices by
A. E Brouwer(
Book
)
5 editions published in 1981 in English and held by 7 WorldCat member libraries worldwide
5 editions published in 1981 in English and held by 7 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 7 WorldCat member libraries worldwide
4 editions published in 1981 in English and held by 7 WorldCat member libraries worldwide
The uniqueness of the near hexagon on 729 points by
A. E Brouwer(
Book
)
6 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
6 editions published in 1981 in English and Undetermined and held by 7 WorldCat member libraries worldwide
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Associated Subjects
Algebra Automorphisms Block designs Combinatorial analysis Combinatorial designs and configurations Combinatorial packing and covering Cryptography Embeddings (Mathematics) Errorcorrecting codes (Information theory) Finite geometries Geometry Geometry, Algebraic Graph connectivity Graph theory Group theory Hexagons Invariants Lie groups Magic squares Mathematical optimization Mathematics Matrices Ordered topological spaces Poincaré series Polygons Spectral theory (Mathematics) Steiner systems Topological spaces Vector spaces