Genus of total graphs from rings: A survey

Let R be a commutative ring. The total graph T Γ ( R ) of R is the undirected graph with vertex set R and two distinct vertices x and y are adjacent if x + y is a zero divisor in R . In this paper, we present a survey of results on the genus of T Γ ( R ) and three of its generalizations. Keywords: C...

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Bibliographic Details
Main Authors: T. Tamizh Chelvam, T. Asir
Format: Article
Language:English
Published: Taylor & Francis Group 2018-04-01
Series:AKCE International Journal of Graphs and Combinatorics
Online Access:http://www.sciencedirect.com/science/article/pii/S0972860017300014