Toroidality of intersection graphs of ideals of commutative rings

DOI10.1007/s00373-013-1292-1zbMath1291.13014OpenAlexW2039180284MaRDI QIDQ2014724

Zoran S. Pucanović, Zoran Z. Petrović

Publication date: 16 June 2014

Published in: Graphs and Combinatorics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00373-013-1292-1

zbMATH Keywords

intersection graphcommutative rings

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Local rings and semilocal rings (13H99) General commutative ring theory (13A99)

Related Items (8)

Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ A survey on the Intersection graphs of ideals of rings ⋮ Unnamed Item ⋮ On projective intersection graph of ideals of commutative rings ⋮ Complement of the generalized total graph of Zn ⋮ A graph associated to proper non-small ideals of a commutative ring

Cites Work

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• Rings whose total graphs have genus at most one
• Zero-divisor graphs of genus one
• 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
• Rings whose zero-divisor graphs have positive genus
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Planar zero-divisor graphs
• Local Rings with Genus Two Zero Divisor Graph
• Classification of Rings with Genus One Zero-Divisor Graphs
• SOLUTION OF THE HEAWOOD MAP-COLORING PROBLEM
• Intersection graphs of ideals of rings

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