Wiener index of an ideal-based zero-divisor graph of commutative ring with unity

DOI10.1080/09728600.2023.2263040MaRDI QIDQ6643340

T. Kavaskar, Unnamed Author, K. Vinothkumar

Publication date: 26 November 2024

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

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Cites Work

• Unnamed Item
• On Wiener and multiplicative Wiener indices of graphs
• On the planarity of the \(k\)-zero-divisor hypergraphs
• Wiener index of some graph operations
• Adjacency matrices of zero-divisor graphs of integers modulo \(n\)
• Spectra of coronae
• On zero divisor graphs of the rings \(Z_n\)
• Spectra of generalized corona of graphs
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• Beck's coloring of a commutative ring
• On the sum of all distances in composite graphs
• When a zero-divisor graph is planar or a complete \(r\)-partite graph
• Zero-divisor graphs, von Neumann regular rings, and Boolean algebras.
• A generalization of Fiedler's lemma and the spectra of \(H\)-join of graphs
• On the relation between Wiener index and eccentricity of a graph
• Adjacency matrix and Wiener index of zero divisor graph \(\varGamma (Z_n)\)
• The Wiener index of the zero-divisor graph of a finite commutative ring with unity
• Beck's coloring of finite product of commutative ring with unity
• Wiener and vertex PI indices of the strong product of graphs
• Wiener index of the tensor product of a path and a cycle
• The Wiener number of powers of the Mycielskian
• A Zero Divisor Graph Determined by Equivalence Classes of Zero Divisors
• An ideal based zero-divisor graph of a commutative semiring
• The Wiener number of Kneser graphs
• An Ideal-Based Zero-Divisor Graph of a Commutative Ring
• Signless Laplacian spectrum of a class of generalized corona and its application
• Zero-Divisor Graph with Respect to an Ideal
• Some properties of zero divisor graph obtained by the ring Zp × Zq × Zr
• Wiener index of trees: Theory and applications
• Wiener index of graphs over rings: a survey

Related Items (1)

Group vertex magicness of \(H\)-join and generalised friendship graph

This page was built for publication: Wiener index of an ideal-based zero-divisor graph of commutative ring with unity