On the inclusion ideal graph of a ring.

DOI10.1016/J.ENDM.2013.11.015zbMath1339.16001OpenAlexW2006140023MaRDI QIDQ277512

F. Blanchet-Sadri, M. Dambrine

Publication date: 29 April 2016

Full work available at URL: https://doi.org/10.1016/j.endm.2013.11.015

zbMATH Keywords

chromatic numbersclique numbersconnectivity of graphsinclusion ideal graphsuniserial rings

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) Ideals in associative algebras (16D25) Connectivity (05C40)

Related Items (5)

Automorphism group of the intersection graph of ideals over a matrix ring ⋮ On the metric determination of linear dependence graph ⋮ Automorphisms of the co-maximal ideal graph over matrix ring ⋮ Diameters and automorphism groups of inclusion graphs over nilpotent groups ⋮ Subspace Inclusion Graph of a Vector Space

Cites Work

• Unnamed Item
• The total graph and regular graph of a commutative ring
• On zero-divisor graphs of small finite commutative rings
• The total graph of a commutative ring
• Graphs associated to co-maximal ideals of commutative rings
• On bipartite zero-divisor graphs
• Zero-divisor semigroups and refinements of a star graph.
• On zero-divisor graphs of finite rings.
• INDECOMPOSABILITY GRAPHS OF RINGS

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