The classi cation of rings with its genus of class of graphs

DOI10.3906/mat-1710-34zbMath1424.13003OpenAlexW4240702341MaRDI QIDQ4634255

K. Mano, T. Asir

Publication date: 7 May 2019

Published in: TURKISH JOURNAL OF MATHEMATICS (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3906/mat-1710-34

zbMATH Keywords

planargenuscommutative ringstotal graphtoroidal

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Ideals and multiplicative ideal theory in commutative rings (13A15) Structure of finite commutative rings (13M05)

Related Items (3)

Classification of rings with crosscap two class of graphs ⋮ Classification of non-local rings with genus two zero-divisor graphs ⋮ A survey on genus of selected graphs from commutative rings

Cites Work

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• Rings whose total graphs have genus at most one
• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• On the genus of the graph \(K_n\times K_2\) or the n-prism
• On the genus of generalized unit and unitary Cayley graphs of a commutative ring
• On the Total Graph and Its Complement of a Commutative Ring
• ON THE ASSOCIATED GRAPHS TO A COMMUTATIVE RING
• THE TOTAL GRAPH OF A MODULE OVER A COMMUTATIVE RING WITH RESPECT TO PROPER SUBMODULES
• THE TOTAL GRAPH OF A COMMUTATIVE RING WITH RESPECT TO PROPER IDEALS
• The genus two class of graphs arising from rings
• On the Genus of the Total Graph of a Commutative Ring
• THE GENERALIZED TOTAL GRAPH OF A COMMUTATIVE RING
• THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-I
• THE INTERSECTION GRAPH OF GAMMA SETS IN THE TOTAL GRAPH OF A COMMUTATIVE RING-II
• Classification of Rings with Genus One Zero-Divisor Graphs

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