2 citations · 2 across the 1 of their papers we have counts for
7 papers
Signed -graphs with few eigenvalues and a symmetric spectrum
Gary R. W. Greaves, Zoran Stanić
We investigate properties of signed graphs that have few distinct eigenvalues together with a symmetric spectrum. Our main contribution is to determine all signed -graphs wi…
Improving the Delsarte bound
Gary R. W. Greaves, Jack H. Koolen, Jongyook Park
In this paper, we study the order of a maximal clique in an amply regular graph with a fixed smallest eigenvalue by considering a vertex that is adjacent to some (but not all) vert…
Frames over finite fields: Basic theory and equiangular lines in unitary geometry
Gary R. W. Greaves, Joseph W. Iverson, John Jasper +1
We introduce the study of frames and equiangular lines in classical geometries over finite fields. After developing the basic theory, we give several examples and demonstrate finit…
Equiangular lines in low dimensional Euclidean spaces
Gary R. W. Greaves, Jeven Syatriadi, Pavlo Yatsyna
We show that the maximum cardinality of an equiangular line system in 14 and 16 dimensions is 28 and 40, respectively, thereby solving a longstanding open problem. We also improve…
Another construction of edge-regular graphs with regular cliques
Gary R. W. Greaves, J. H. Koolen
We exhibit a new construction of edge-regular graphs with regular cliques that are not strongly regular. The infinite family of graphs resulting from this construction includes an…
Reed-Solomon codes over small fields with constrained generator matrices
Gary Greaves, Jeven Syatriadi
We give constructions of some special cases of Reed-Solomon codes over finite fields of size at least and whose generator matrices have constrained support. Furth…