Some properties of intersection graph of a module with an application of the graph of ℤn

DOI10.1080/09720529.2019.1670944zbMath1483.05079OpenAlexW3005734778MaRDI QIDQ5034969

Nil Orhan Ertaş, Sema Sürül

Publication date: 21 February 2022

Published in: Journal of Discrete Mathematical Sciences and Cryptography (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/09720529.2019.1670944

zbMATH Keywords

intersection graphchromatic numberclique numbersubmodule

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Coloring of graphs and hypergraphs (05C15) Vertex subsets with special properties (dominating sets, independent sets, cliques, etc.) (05C69) General module theory in associative algebras (16D10) Combinatorial aspects of commutative algebra (05E40) General commutative ring theory and combinatorics (zero-divisor graphs, annihilating-ideal graphs, etc.) (13A70)

Related Items (1)

Maximal submodule graph of a module

Cites Work

• On the complexity of role colouring planar graphs, trees and cographs
• The total graph of a commutative ring
• INTERSECTION GRAPH OF A MODULE
• SOME RESULTS ON THE INTERSECTION GRAPHS OF IDEALS OF RINGS
• Domination number in the annihilating-ideal graphs of commutative rings
• INTERSECTION GRAPH OF SUBMODULES OF A MODULE
• On the number of independent sets in graphs with fixed independence number
• An upper bound for the number of maximal independent sets in a graph
• The graph of subgroups of a finite group
• On the number of independent sets in damaged Cayley graphs
• Intersection graphs of ideals of rings
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