Energy of unitary Cayley graphs and gcd-graphs

DOI10.1016/j.laa.2011.03.015zbMath1222.05099OpenAlexW1964824028MaRDI QIDQ551293

Borworn Suntornpoch, Dariush Kiani, Mohsen Molla Haji Aghaei, Yotsanan Meemark

Publication date: 15 July 2011

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2011.03.015

zbMATH Keywords

energyunitary Cayley graphgcd-graphhyperenergetic

Mathematics Subject Classification ID

Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)

Related Items (30)

ON THE REFINEMENT OF THE UNIT AND UNITARY CAYLEY GRAPHS OF RINGS ⋮ Subconstituents of unitary Cayley graph of matrix algebras ⋮ Eigenvalues of Cayley graphs ⋮ Algebraic degree of spectra of Cayley hypergraphs ⋮ Reduction graph and its application on algebraic graphs ⋮ Finite commutative rings whose unitary Cayley graphs have positive genus ⋮ Unitary Cayley graphs whose Roman domination numbers are at most four ⋮ On the spectrum of the closed unit graphs ⋮ A characterization of rings whose unitary Cayley graphs are planar ⋮ Spectrum of Graphs over Rings: A Survey ⋮ Unitary Cayley graphs of matrix rings over finite commutative rings ⋮ On regular graphs equienergetic with their complements ⋮ Waring numbers over finite commutative local rings ⋮ Subgraph of unitary Cayley graph of matrix algebras induced by idempotent matrices ⋮ The maximal energy of classes of integral circulant graphs ⋮ Generalized unit and unitary Cayley graphs of finite rings ⋮ Unitary homogeneous bi-Cayley graphs over finite commutative rings ⋮ On the unitary Cayley graphs of matrix algebras ⋮ Integral equienergetic non-isospectral unitary Cayley graphs ⋮ Distance powers of unitary Cayley graphs ⋮ Energies of unitary one-matching bi-Cayley graphs over finite commutative rings ⋮ On unitary Cayley graphs of matrix rings ⋮ BALANCED UNITARY CAYLEY SIGRAPHS OVER FINITE COMMUTATIVE RINGS ⋮ Perfect state transfer in unitary Cayley graphs and gcd-graphs ⋮ On the Cayley Graph of a Commutative Ring with Respect to its Zero-divisors ⋮ CAYLEY GRAPHS OVER A FINITE CHAIN RING AND GCD-GRAPHS ⋮ Unnamed Item ⋮ Quadratic unitary Cayley graphs of finite commutative rings ⋮ Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings ⋮ On the addition of units and non-units in finite commutative rings

Cites Work

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• On the chromatic number of integral circulant graphs
• The energy of unitary Cayley graphs
• The total graph and regular graph of a commutative ring
• Some classes of integral circulant graphs either allowing or not allowing perfect state transfer
• Integral circulant graphs
• On incidence energy of a graph
• Distance spectra and distance energy of integral circulant graphs
• Ring elements as sums of units.
• Some properties of unitary Cayley graphs
• On the energy of unitary Cayley graphs
• On the unitary Cayley graph of a finite ring
• On the average energy of circulant graphs
• A note on multipliers of difference sets

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