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

DOI10.1142/S021949881250199XzbMath1264.05058OpenAlexW4231087417MaRDI QIDQ4923936

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/s021949881250199x

zbMATH Keywords

Hamiltonianintersection graphconnectivityperfect graphcoloringtotal graphArtin ring

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Ideals and multiplicative ideal theory in commutative rings (13A15) Connectivity (05C40) Eulerian and Hamiltonian graphs (05C45) Artinian rings and modules (associative rings and algebras) (16P20) Perfect graphs (05C17) Structure of finite commutative rings (13M05)

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Cites Work

• Unnamed Item
• The total graph and regular graph of a commutative ring
• The total graph of a commutative ring
• Coloring of commutative rings
• Beck's coloring of a commutative ring
• A note on graphical representation of rings
• ON THE ASSOCIATED GRAPHS TO A COMMUTATIVE RING
• DOMINATION IN THE TOTAL GRAPH ON ℤ_n
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS I
• THE ANNIHILATING-IDEAL GRAPH OF COMMUTATIVE RINGS II
• On the Genus of the Total Graph of a Commutative Ring