Minimum flows in the total graph of a finite commutative ring

DOI10.22108/toc.2014.5252zbMath1463.05233OpenAlexW2208398573MaRDI QIDQ5135792

Khalida Nazzal, Torsten Sander

Publication date: 24 November 2020

Full work available at URL: http://journals.ui.ac.ir/article_5252_34bd2a18fa39bc58c69e5a7037b0e84c.pdf

zbMATH Keywords

minimum flowzero-sum \(k\)-flowthe ring of integers modulo \(n\)total graph of a commutative ringconstant-sum \(k\)-flow

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General commutative ring theory (13A99) Flows in graphs (05C21)

Cites Work

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• A note on zero-sum 5-flows in regular graphs
• Zero-sum flows in regular graphs
• 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 zero-sum 6-flows of graphs
• DOMINATION IN THE TOTAL GRAPH ON ℤ_n
• ON THE TOTAL GRAPH OF A COMMUTATIVE RING WITHOUT THE ZERO ELEMENT
• A note on total graph of ℤ_n
• On the Total Graph of a Finite Commutative Ring

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