Genus of total graphs from rings: A survey

Autor: T. Tamizh Chelvam, T. Asir
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: AKCE International Journal of Graphs and Combinatorics, Vol 15, Iss 1, Pp 97-104 (2018)
Druh dokumentu: article
ISSN: 0972-8600
DOI: 10.1016/j.akcej.2017.10.002
Popis: 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: Commutative ring, Total graph, Cayley graph, Genus, Planar
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