A note on total graph of ℤn

DOI10.1080/09720529.2011.10698320zbMath1222.05094OpenAlexW1993210461MaRDI QIDQ3004488

T. Asir, T. Tamizh Chelvam

Publication date: 3 June 2011

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: http://www.connectjournals.com/file_html_pdf/1036801H_01_JDMSC_T02_14-1_pp001-007a.pdf

zbMATH Keywords

commutative ringtotal graphzero divisorcomplement of a graph

Mathematics Subject Classification ID

Finite rings and finite-dimensional associative algebras (16P10) Structural characterization of families of graphs (05C75) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69)

Related Items (11)

Unit graph of the ring \(\mathbb{Z}_m\times\mathbb{Z}_n \) ⋮ Complement of the generalized total graph of commutative rings ⋮ Complement of the Generalized Total Graph of Commutative Rings – A Survey ⋮ Distances in zero-divisor and total graphs from commutative rings -- a survey ⋮ THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-I ⋮ Computing vertex-based eccentric topological descriptors of zero-divisor graph associated with commutative rings ⋮ Minimum flows in the total graph of a finite commutative ring ⋮ Unnamed Item ⋮ Total graph of the ring ℤ_n × ℤ_m ⋮ Construction algorithm for zero divisor graphs of finite commutative rings and their vertex-based eccentric topological indices ⋮ Complement of the generalized total graph of fields

Cites Work

• Unnamed Item
• On zero-divisor graphs of small finite commutative rings
• The total graph of a commutative ring
• The zero-divisor graph of a commutative ring
• The diameter of a zero divisor graph

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