THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-I

DOI10.1142/S0219498812501988zbMath1264.05061OpenAlexW2136553072MaRDI QIDQ4923935

T. Asir, T. Tamizh Chelvam

Publication date: 27 May 2013

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498812501988

zbMATH Keywords

intersection graphgenustotal graphvertex-transitiveArtin ringgamma sets

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Vertex degrees (05C07) Artinian rings and modules (associative rings and algebras) (16P20) Structure of finite commutative rings (13M05)

Related Items (20)

On the genus of nil-graph of ideals of commutative rings ⋮ INTERSECTION GRAPH OF γ-SETS IN THE TOTAL GRAPH OF WITH RESPECT TO NIL IDEAL ⋮ Unnamed Item ⋮ On the Total Graph of a Ring and Its Related Graphs: A Survey ⋮ The proof of a conjecture in Jacobson graph of a commutative ring ⋮ On the module intersection graph of ideals of rings ⋮ Unnamed Item ⋮ Complement of the Generalized Total Graph of Commutative Rings – A Survey ⋮ On Domination in Graphs from Commutative Rings: A Survey ⋮ Crosscap of the ideal based zero-divisor graph ⋮ On the genus of generalized unit and unitary Cayley graphs of a commutative ring ⋮ The classi cation of rings with its genus of class of graphs ⋮ Distances in zero-divisor and total graphs from commutative rings -- a survey ⋮ The large sum graph related to comultiplication modules ⋮ A survey on the Intersection graphs of ideals of rings ⋮ ON THE GENUS OF THE INTERSECTION GRAPH OF IDEALS OF A COMMUTATIVE RING ⋮ Zero-divisor graph of abelian groups ⋮ Center of intersection graph of submodules of a module ⋮ Complement of the generalized total graph of fields ⋮ A graph associated to proper non-small ideals of a commutative ring

Cites Work

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• A note on total graph of ℤ_n
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• Unit Graphs Associated with Rings
• Topics in Intersection Graph Theory
• On the Genus of the Total Graph of a Commutative Ring
• Classification of Rings with Genus One Zero-Divisor Graphs
• Intersection graphs of ideals of rings
• Intersection graphs of ideals of rings

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