7 papers
The Lemmens-Seidel conjecture for base size
Kiyoto Yoshino
In 2020, Lin and Yu claimed to prove the so-called Lemmens--Seidel conjecture for base size . However, their proof has a gap. In this paper, we prove the conjecture for base siz…
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…
Arc search in graphs via Szegedy walks
Sho Kubota, Kiyoto Yoshino
This paper studies the search for a single arc in a graph using the Szegedy walk. Arc search can be interpreted as finding a quantum particle not only in its position but also with…
Strongly regular and strongly walk-regular graphs that admit perfect state transfer
Sho Kubota, Hiroto Sekido, Harunobu Yata +1
We study perfect state transfer in Grover walks on two important classes of graphs: strongly regular graphs and strongly walk-regular graphs. The latter class is a generalization o…
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…
Enumeration of sets of equiangular lines with common angle
Kiyoto Yoshino
In 2018, SzöllÅsi and ÃstergÃ¥rd used a computer to enumerate sets of equiangular lines with common angle in dimension . They observed that the numbers …