01212nas 2200433- 450 991058877710332120240302213016.02369-8543(OCoLC)1036199043(CKB)4920000000236050(CONSER)--2023228236(DE-599)ZDB3134808-7(EXLCZ)99492000000023605020160505a20169999 o-- -engur|||||||||||txtrdacontentcrdamediacrrdacarrierPOCUS journalKingston, ON VascNet2016-Kingston, ON :CINQUILL Medical Publishers Inc.1 online resourcePJPoint of care ultrasound journalPOCUS JDiagnostic ultrasonic imagingUltrasonographymethodsPoint-of-Care TestingPeriodicalDiagnostic ultrasonic imaging.UltrasonographymethodsPoint-of-Care Testingcci1icclaccGE Healthcare,JOURNAL9910588777103321POCUS Journal2963058UNINA03112nam 22005895 450 991050848230332120251113203421.03-030-88410-410.1007/978-3-030-88410-9(CKB)5470000001298900(MiAaPQ)EBC6796785(Au-PeEL)EBL6796785(OCoLC)1282008798(PPN)258303476(DE-He213)978-3-030-88410-9(EXLCZ)99547000000129890020211031d2021 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierGraphs from Rings /by David F. Anderson, T. Asir, Ayman Badawi, T. Tamizh Chelvam1st ed. 2021.Cham :Springer International Publishing :Imprint: Springer,2021.1 online resource (548 pages) illustrationsMathematics and Statistics Series3-030-88409-0 Includes bibliographical references and index.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.Mathematics and Statistics SeriesCommutative algebraCommutative ringsGraph theoryCommutative Rings and AlgebrasGraph TheoryCommutative algebra.Commutative rings.Graph theory.Commutative Rings and Algebras.Graph Theory.511.5511.5Anderson David F.1948-1251884MiAaPQMiAaPQMiAaPQBOOK9910508482303321Graphs from rings2901855UNINA