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Graphs from rings

Anderson, David F.

Graphs from rings

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Graphs from ringsby David F. Anderson ... [et al.].
其他作者:	Anderson, David F.
出版者:	Cham :Springer International Publishing :2021.
面頁冊數:	xvi, 538 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Commutative rings.
電子資源:	https://doi.org/10.1007/978-3-030-88410-9
ISBN:	9783030884109$q(electronic bk.)

Graphs from rings
Graphs from rings[electronic resource] /by David F. Anderson ... [et al.]. - Cham :Springer International Publishing :2021. - xvi, 538 p. :ill., digital ;24 cm.

Introduction -- Distances in zero-divisor graphs -- Properties of zero-divisor graphs -- Genus of zero-divisor graphs -- Zero-divisor graph generalizations -- Total graphs of commutative rings -- Graphs from total graphs -- Generalized total graphs -- Other graphs associated with rings -- Bibliography -- Index.

This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.

ISBN: 9783030884109$q(electronic bk.)

Standard No.: 10.1007/978-3-030-88410-9doiSubjects--Topical Terms:

237116
Commutative rings.

LC Class. No.: QA251.3

Dewey Class. No.: 512.44

Graphs from rings
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260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xvi, 538 p. : $b ill., digital ; $c 24 cm.
505 0 $a Introduction -- Distances in zero-divisor graphs -- Properties of zero-divisor graphs -- Genus of zero-divisor graphs -- Zero-divisor graph generalizations -- Total graphs of commutative rings -- Graphs from total graphs -- Generalized total graphs -- Other graphs associated with rings -- Bibliography -- Index.
520 $a This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.
650 0 $a Commutative rings. $3 237116
650 0 $a Graph theory. $3 181880
650 1 4 $a Commutative Rings and Algebras. $3 274057
650 2 4 $a Graph Theory. $3 522732
700 1 $a Anderson, David F. $3 237563
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