The Wiener index of the zero-divisor graph of a finite commutative ring with unity

DOI10.1016/j.dam.2022.01.012zbMath1483.05038OpenAlexW4210908572MaRDI QIDQ2078843

P. Gangaeswari, K. Selvakumar, G. Arunkumar

Publication date: 4 March 2022

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2022.01.012

zbMATH Keywords

Wiener indexgeneralized composition of graphszero-divisor graphs of rings

Mathematics Subject Classification ID

Distance in graphs (05C12) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Related Items

Wiener index of graphs over rings: a survey ⋮ Wiener index and addressing of some finite graphs ⋮ Perfectness of \(G\)-generalized join of graphs ⋮ Induced subgraphs of zero-divisor graphs

Cites Work

• The zero-divisor graph of a commutative ring
• The characteristic polynomial of a graph containing loops
• Graph-Theoretical Matrices in Chemistry
• Wiener index of trees: Theory and applications
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