Rational G-matrices with rational eigenvalues
From MaRDI portal
Publication:1164060
DOI10.1016/0097-3165(82)90026-7zbMath0485.05040OpenAlexW2056555534MaRDI QIDQ1164060
Publication date: 1982
Published in: Journal of Combinatorial Theory. Series A (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0097-3165(82)90026-7
Combinatorial aspects of matrices (incidence, Hadamard, etc.) (05B20) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50)
Related Items
Integral mixed Cayley graphs over abelian groups, A survey of partial difference sets, Distance-integral Cayley graphs over abelian groups and dicyclic groups, Perfect quantum state transfer on Cayley graphs over semi-dihedral groups, Integral Cayley graphs over a certain nonabelian group, HS-integral and Eisenstein integral mixed Cayley graphs over abelian groups, On Cayley graphs over generalized dicyclic groups, Automorphism Groups of Schur Rings, Eigenvalues of Cayley graphs, Distance-regular digraphs of girth 4, On automorphism groups of divisible designs: II: Group invariant generalized conference matrices, On three-dimensional Schur rings obtained from partial spreads, Integral Cayley graphs over dihedral groups, Perfect state transfer on Cayley graphs over dihedral groups: the non-normal case, Integral Cayley multigraphs over abelian and Hamiltonian groups, An analogue of Bridges and Mena's theorem for local fields and a local-global principle., HS-integral and Eisenstein integral normal mixed Cayley graphs, \(H\)-integral and Gaussian integral normal mixed Cayley graphs, On integral mixed Cayley graphs over non-abelian finite groups admitting an abelian subgroup of index 2, Perfect quantum state transfer on Cayley graphs over dicyclic groups, Integral Cayley graphs over semi-dihedral groups, Association schemes all of whose symmetric fusion schemes are integral, Prescribed absolute values, character sums and spectrum integrality., Perfect state transfer on abelian Cayley graphs, State transfer on graphs, Integral Cayley graphs over dicyclic group, McFarland's conjecture on abelian difference sets with multiplier \(-1\), On the \(G\)-matrices with entries and eigenvalues in \(Q(i)\), Strongly regular semi-Cayley graphs, Integral and distance integral Cayley graphs over generalized dihedral groups, Spectra of Cayley graphs of complex reflection groups, Perfect state transfer on weighted abelian Cayley graphs, Perfect state transfer on Cayley graphs over dihedral groups, Splitting fields of spectra of circulant graphs, Imprimitive symmetric association schemes of classes 5 and 6 arising from ternary non-weakly regular bent functions, On the rational spectra of graphs with Abelian Singer groups, Integral mixed circulant graphs, Strongly regular Cayley graphs over the group \({\mathbb Z}_{p^n}\oplus {\mathbb Z}_{p^n}\), Partial difference triples, Polynomial addition sets and polynomial digraphs, On multipliers of polynomial addition sets, Cayley graphs of dihedral groups having perfect edge state transfer, On state transfer in Cayley graphs for abelian groups, On the structure of Abelian groups admitting divisible difference sets, On subsets of partial difference sets, A method to determine algebraically integral Cayley digraphs on finite Abelian group
Cites Work
- On the rational spectra of graphs with Abelian Singer groups
- Strongly regular graphs
- Algebraic duality theorems with combinatorial applications
- Strongly regular graphs with (-1, 1, 0) adjacency matrix having eigenvalue 3
- Strongly regular graphs, partial geometries and partially balanced designs
- Finite nets. II: Uniqueness and imbedding
- On Linear Associative Algebras Corresponding to Association Schemes of Partially Balanced Designs
- [https://portal.mardi4nfdi.de/wiki/Publication:5731810 On the foundations of combinatorial theory I. Theory of M�bius Functions]
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item