On vertex connectivity of zero-divisor graphs of finite commutative rings

DOI10.1007/S10801-024-01314-1zbMATH Open1543.05076MaRDI QIDQ6570596

Binod K. Sahoo, Kamal L. Patra, Sriparna Chattopadhyay

Publication date: 10 July 2024

Published in: Journal of Algebraic Combinatorics (Search for Journal in Brave)

zbMATH Keywords

vertex connectivityzero-divisor graphcompressed zero-divisor graphlocal principal ideal ringgeneralized join graph

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Connectivity (05C40) Local rings and semilocal rings (13H99)

Cites Work

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• Cut-Sets in Zero-Divisor Graphs of Finite Commutative Rings
• Zero-divisor graphs in commutative rings
• The Structure of Finite Local Principal Ideal Rings
• Proper divisor graph of a positive integer
• On distance signless Laplacian spectrum of graphs and spectrum of zero divisor graphs of ℤ_n
• Graphs from Rings
• Spectrum of the zero-divisor graph of von Neumann regular rings
• On the adjacency spectrum of zero divisor graph of ring ℤn
• On the signless Laplacian and normalized Laplacian spectrum of the zero divisor graphs

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