Analysis of Zagreb indices over zero-divisor graphs of commutative rings

DOI10.1142/S1793557120400033zbMath1423.13140OpenAlexW2950065578MaRDI QIDQ5237391

Ahmet Sinan Cevik, Sümeyye Aykaç, Nihat Akgüneş

Publication date: 18 October 2019

Published in: Asian-European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793557120400033

zbMATH Keywords

ringzero-divisor graphZagreb indices

Mathematics Subject Classification ID

Applications of graph theory (05C90) Generators, relations, and presentations of groups (20F05) Braid groups; Artin groups (20F36) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Molecular structure (graph-theoretic methods, methods of differential topology, etc.) (92E10) Vertex degrees (05C07) Structure of finite commutative rings (13M05)

Related Items (5)

Ideal-based quasi zero divisor graph ⋮ Prime ideal sum graph of a commutative ring ⋮ PROPERTIES OF ZERO-DIVISOR GRAPH OF THE RING $\mathbf{F}_{p^l} \times \mathbf{F}_{q^m} \times \mathbf{F}_{r^n}$ ⋮ Clean graph of a ring ⋮ Locating and multiplicative locating indices of graphs with QSPR analysis

Cites Work

• A new bound of radius with irregularity index
• The Zagreb coindices of graph operations
• On the Zagreb indices equality
• New upper bounds on Zagreb indices
• Coloring of commutative rings
• The zero-divisor graph of a commutative ring
• The multiplicative Zagreb indices of graph operations
• On the multiplicative Zagreb coindex of graphs
• Vertex-weighted Wiener polynomials for composite graphs
• The upper bounds for multiplicative sum Zagreb index of some graph operations
• On the first Zagreb index and multiplicative Zagreb coindices of graphs
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