ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS

DOI10.22044/jas.2018.6939.1340zbMath1468.05114OpenAlexW2937789206MaRDI QIDQ4956430

Meysam Rezagholibeigi, Ali Reza Naghipour

Publication date: 2 September 2021

Full work available at URL: http://jas.shahroodut.ac.ir/article_1439_ebb88b5d1aeb02a640e428d56a015c93.pdf

zbMATH Keywords

Jacobson radicalringsmatrix ringsunitary Cayley graphsunit graphs

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Structural characterization of families of graphs (05C75) Connectivity (05C40) Jacobson radical, quasimultiplication (16N20) Units, groups of units (associative rings and algebras) (16U60) Structure of finite commutative rings (13M05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Nonplanarity of unit graphs and classification of the toroidal ones
• On the unitary Cayley graph of a ring
• Energy of unitary Cayley graphs and gcd-graphs
• Necessary and sufficient conditions for unit graphs to be Hamiltonian
• Ring elements as sums of units.
• Group of units in a finite ring
• On the zero-divisor graph of a commutative ring
• Spectral properties of unitary Cayley graphs of finite commutative rings
• The unit graph of a left Artinian ring
• Some properties of unitary Cayley graphs
• On the unitary Cayley graph of a finite ring
• A generalization of the unit and unitary Cayley graphs of a commutative ring
• Longest induced cycles in circulant graphs
• Unit Graphs Associated with Rings
• A REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF A FINITE RING
• On the Zero-divisor Cayley Graph of a Finite Commutative Ring
• Linear Algebra
• ON THE GIRTH OF THE UNIT GRAPH OF A RING
• Graphs and matrices

This page was built for publication: ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS