Gary R. W. Greaves

activity

20162026

most citedReal equiangular lines in dimension 18 and the Jacobi identity for complementary subgraphs

3 citations · 5 across the 7 of their papers we have counts for

collaborators

Showing 2018Show all

4 papers · 1 filter

math.CO2018

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…

math.CO2018

Reed-Solomon codes over small fields with constrained generator matrices

Gary Greaves, Jeven Syatriadi

We give constructions of some special cases of $[n, k]$ Reed-Solomon codes over finite fields of size at least $n$ and $n + 1$ whose generator matrices have constrained support. Furth…

math.CO2018

On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix

Gary R. W. Greaves, Pavlo Yatsyna

For $e$ a positive integer, we find restrictions modulo $2^{e}$ on the coefficients of the characteristic polynomial $χ_{S} (x)$ of a Seidel matrix $S$ . We show that, for a Seidel matri…

math.CO2018

On the Smith normal form of a skew-symmetric D-optimal design of order $n \equiv 2 (mod 4)$

Gary Greaves, Sho Suda

We show that the Smith normal form of a skew-symmetric D-optimal design of order $n \equiv 2 (mod 4)$ is determined by its order. Furthermore, we show that the Smith normal form of…

Another construction of edge-regular graphs with regular cliques

Reed-Solomon codes over small fields with constrained generator matrices

On equiangular lines in 17 dimensions and the characteristic polynomial of a Seidel matrix

On the Smith normal form of a skew-symmetric D-optimal design of order n≡2(mod4)

On the Smith normal form of a skew-symmetric D-optimal design of order $n \equiv 2 (mod 4)$