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Balanced signed total graphs of commutative rings

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Publication:2631095
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DOI10.1007/s00373-015-1666-7zbMath1342.05060OpenAlexW2199850213MaRDI QIDQ2631095

Pranjali, Mukti Acharya

Publication date: 28 July 2016

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

Full work available at URL: https://doi.org/10.1007/s00373-015-1666-7


zbMATH Keywords

idealfinite commutative ringstotal graphbalanced signed graph


Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Signed and weighted graphs (05C22)


Related Items (5)

Zero ring labeling of graphs ⋮ Line signed graph of a signed total graph ⋮ Unitary Cayley meet signed graphs ⋮ 𝒞-Consistency in signed total graphs of commutative rings ⋮ When a total graph associated with a commutative ring is perfect?



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
  • Line-coloring of signed graphs
  • On the notion of balance of a signed graph
  • On the Total Graph and Its Complement of a Commutative Ring


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