The energy of unitary Cayley graphs

DOI10.1016/j.laa.2009.06.025zbMath1175.05086OpenAlexW2067964978MaRDI QIDQ732078

Aleksandar Ilić

Publication date: 9 October 2009

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.06.025

zbMATH Keywords

unitary Cayley graphperfect state transferhyperenergetic graphintegral circulant graphmodeling quantum spin networks

Mathematics Subject Classification ID

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

Related Items (40)

Subconstituents of unitary Cayley graph of matrix algebras ⋮ On the quadratic unitary Cayley graphs ⋮ Eigenvalues of Cayley graphs ⋮ Algebraic degree of spectra of Cayley hypergraphs ⋮ Note on the energy of regular graphs ⋮ Integral circulant graphs with four distinct eigenvalues ⋮ Finite commutative rings whose unitary Cayley graphs have positive genus ⋮ On the chromatic number of integral circulant graphs ⋮ Graphs for small multiprocessor interconnection networks ⋮ A characterization of rings whose unitary Cayley graphs are planar ⋮ Signless Laplacian energy, distance Laplacian energy and distance signless Laplacian spectrum of unitary addition Cayley graphs ⋮ 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 ⋮ New results on the energy of integral circulant graphs ⋮ Generalized Paley graphs equienergetic with their complements ⋮ The maximal energy of classes of integral circulant graphs ⋮ Spectra of subdivision-vertex join and subdivision-edge join of two graphs ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unitary homogeneous bi-Cayley graphs over finite commutative rings ⋮ Color energy of a unitary Cayley graph ⋮ 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 ⋮ Some Properties of a Cayley Graph of a Commutative Ring ⋮ Energy of unitary Cayley graphs and gcd-graphs ⋮ Distance spectra and distance energy of integral circulant graphs ⋮ Integral circulant graphs of prime power order with maximal energy ⋮ Perfect state transfer in unitary Cayley graphs and gcd-graphs ⋮ On the independence ratio of distance 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 ⋮ Energy and Laplacian energy of unitary addition Cayley graphs ⋮ Quadratic unitary Cayley graphs of finite commutative rings ⋮ The Seidel Laplacian energy of unitary Cayley graphs ⋮ Energies of complements of unitary one-matching bi-Cayley graphs over commutative rings

Cites Work

• Some classes of integral circulant graphs either allowing or not allowing perfect state transfer
• Integral circulant graphs
• On the energy of some circulant graphs
• Perfect state transfer in integral circulant graphs
• On graphs whose energy exceeds the number of vertices
• Strongly regular graphs with maximal energy
• On the clique number of integral circulant graphs
• The energy of a graph
• Remarks on hyperenergetic circulant graphs
• Some properties of unitary Cayley graphs
• On the average energy of circulant graphs
• Longest induced cycles in circulant graphs
• A survey on integral graphs
• PARAMETERS OF INTEGRAL CIRCULANT GRAPHS AND PERIODIC QUANTUM DYNAMICS
• A note on multipliers of difference sets
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