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Classification of finite commutative rings with planar, toroidal, and projective line graphs associated with Jacobson graphs

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Publication:268085
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DOI10.1134/S0001434615110103zbMath1346.13052OpenAlexW2260916778MaRDI QIDQ268085

Kh. Ahmad Javaheri, A. Parsapour, Kazem Khashyarmanesh, Mojgan Afkhami

Publication date: 14 April 2016

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434615110103


zbMATH Keywords

line graphplanar graphJacobson graphprojective graphtoroidal graph


Mathematics Subject Classification ID

Structural characterization of families of graphs (05C75) Structure of finite commutative rings (13M05)




Cites Work

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  • The embedding of line graphs associated to the zero-divisor graphs of commutative rings
  • Orientable and non orientable genus of the complete bipartite graph
  • 103 graphs that are irreducible for the projective plane
  • Rings of order \(p^5\). I: Nonlocal rings
  • Forbidden minors and subdivisions for toroidal graphs with no K3,3's
  • A kuratowski theorem for the projective plane
  • THE JACOBSON GRAPH OF COMMUTATIVE RINGS




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