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Strongly regular graphs

Brouwer, Andries E.

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Strongly regular graphs

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Strongly regular graphs/ Andries E. Brouwer, H. Van Maldeghem.
作者:	Brouwer, Andries E.
其他作者:	Maldeghem, H. van.
出版者:	Cambridge :Cambridge University Press, : 2022.,
面頁冊數:	xvii, 462 p. :ill., digital ;24 cm.
附註:	Title from publisher's bibliographic system (viewed on 10 Jan 2022).
標題:	Graph theory. -
電子資源:	https://doi.org/10.1017/9781009057226
ISBN:	9781009057226

Strongly regular graphs
Brouwer, Andries E.

Strongly regular graphs[electronic resource] /Andries E. Brouwer, H. Van Maldeghem. - Cambridge :Cambridge University Press,2022. - xvii, 462 p. :ill., digital ;24 cm. - Encyclopedia of mathematics and its applications ;182. - Encyclopedia of mathematics and its applications ;182..

Title from publisher's bibliographic system (viewed on 10 Jan 2022).

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, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric 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.

ISBN: 9781009057226Subjects--Topical Terms:

523815
Graph theory.

LC Class. No.: QA166 / .B76 2022

Dewey Class. No.: 511.5

Strongly regular graphs
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490 1 $a Encyclopedia of mathematics and its applications ; $v 182
500 $a Title from publisher's bibliographic system (viewed on 10 Jan 2022).
520 $a 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, two-weight codes and graphs related to combinatorial configurations such as Latin squares, quasi-symmetric 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.
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830 0 $a Encyclopedia of mathematics and its applications ; $v 182. $3 3645887
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