Planarity and outerplanarity indexes of the unit, unitary and total graphs

DOI10.2298/FIL1709827BzbMath1488.05078OpenAlexW2605848924MaRDI QIDQ5157482

Zahra Barati

Publication date: 18 October 2021

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1709827b

zbMATH Keywords

unit graphtotal graphunitary graphouterplanarity indexplanarity index

Mathematics Subject Classification ID

Planar graphs; geometric and topological aspects of graph theory (05C10) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structure of finite commutative rings (13M05) Graph operations (line graphs, products, etc.) (05C76) Graphical indices (Wiener index, Zagreb index, Randi? index, etc.) (05C09)

Cites Work

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• When the unit, unitary and total graphs are ring graphs and outerplanar
• Outerplanarity of line graphs and iterated line graphs
• Rings whose total graphs have genus at most one
• The total graph of a commutative ring
• On the unitary Cayley graph of a finite ring
• Planarity of iterated line graphs
• Unit Graphs Associated with Rings

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