Statements (27)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
graph
|
| gptkbp:application |
coding theory
combinatorics design theory |
| gptkbp:automorphismGroup |
contains the affine group of the field
|
| gptkbp:chromaticNumber |
depends on q
|
| gptkbp:citation |
Raymond Paley, 1933, On orthogonal matrices
|
| gptkbp:definedIn |
finite field
|
| gptkbp:edgeDefinition |
vertices x and y are adjacent if x - y is a quadratic residue
|
| gptkbp:field |
gptkb:mathematics
graph theory |
| gptkbp:heldBy |
graph
distance-regular edge-transitive self-complementary graph strongly regular graph vertex-transitive |
| https://www.w3.org/2000/01/rdf-schema#label |
Paley graph
|
| gptkbp:introducedIn |
1933
|
| gptkbp:namedAfter |
gptkb:Raymond_Paley
|
| gptkbp:orderCondition |
q ≡ 1 mod 4
|
| gptkbp:spectrumOfActivity |
two eigenvalues
|
| gptkbp:vertexSet |
elements of a finite field of order q
|
| gptkbp:bfsParent |
gptkb:Raymond_E._A._C._Paley
gptkb:Raymond_Paley gptkb:Leonard_Paley |
| gptkbp:bfsLayer |
5
|