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Catalogue Information
Field name
Details
Dewey Class
512.44
Title
Graphs from Rings ([EBook] /) / by David F. Anderson, T. Asir, Ayman Badawi, T. Tamizh Chelvam.
Author
Anderson, David F.
Added Personal Name
Asir, T.
Badawi, Ayman
Tamizh Chelvam, T.
Other name(s)
SpringerLink (Online service)
Edition statement
1st ed. 2021.
Publication
Cham : : Springer International Publishing : : Imprint: Springer, , 2021.
Physical Details
XVI, 538 p. 87 illus. : online resource.
ISBN
9783030884109
Summary Note
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.:
Contents note
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.
Mode of acces to digital resource
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
https://doi.org/10.1007/978-3-030-88410-9
Links to Related Works
Subject References:
Commutative algebra
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Commutative rings
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Commutative Rings and Algebras
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Graph Theory
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Authors:
Anderson, David F.
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Asir, T.
.
author
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Badawi, Ayman
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Tamizh Chelvam, T.
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Corporate Authors:
SpringerLink (Online service)
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Classification:
512.44
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