7 papers · 1 filter
New Constructions of Distance-Biregular Graphs
Blas Fernández, Ferdinand Ihringer, Sabrina Lato +1
We construct a new family of distance-biregular graphs related to hyperovals and a new sporadic example of a distance-biregular graph related to Mathon's perp system. The infinite…
Sets of equiangular lines in dimension constructed from
Akihiro Munemasa, Ferenc SzöllÅsi, Kiyoto Yoshino
In 2023, Greaves, Syatriadi, and Yatsyna found a set of equiangular lines in , breaking the previous record. In 2025, Lin, Munemasa, Taniguchi, and Yoshino co…
Roux schemes which carry association schemes locally
Alexander L. Gavrilyuk, Jesse Lansdown, Akihiro Munemasa +1
A roux scheme is an association scheme formed from a special "roux" matrix and the regular permutation representation of an associated group. They were introduced by Iverson and Mi…
A 2-distance set with 277 points in the Euclidean space of dimension 23
Hong-Jun Ge, Jack Koolen, Akihiro Munemasa
We construct a -distance set with points in the -dimensional Euclidean space having distances and .
Antipodality of spherical designs with odd harmonic indices
Ryutaro Misawa, Akihiro Munemasa, Masanori Sawa
We determine the smallest size of a non-antipodal spherical design with harmonic indices to be , where is a positive integer. This is achieved by pro…
Sets of equiangular lines in dimension constructed from
Yen-chi Roger Lin, Akihiro Munemasa, Tetsuji Taniguchi +1
In 2023, Greaves et~al.\ constructed several sets of 57 equiangular lines in dimension 18. Using the concept of switching root introduced by Cao et~al.\ in 2021, these sets of equi…