2 citations · 4 across the 12 of their papers we have counts for
14 papers
Irreducible rootless unimodular lattices generated by vectors of norm
Hong-Jun Ge, Jack H. Koolen, Jing-Yuan Liu +1
The classical ADE classification implies that is the unique irreducible unimodular Euclidean lattice generated by vectors of norm . In sharp contrast, for every positive i…
Sets of equiangular lines in dimension constructed from
Akihiro Munemasa, Ferenc Szöllősi, 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…
Circulant graphs with valency up to 4 that admit perfect state transfer in Grover walks
Sho Kubota, Kiyoto Yoshino
We completely characterize circulant graphs with valency up to that admit perfect state transfer. Those of valency do not admit it. On the other hand, circulant graphs with…
Enumeration of sets of equiangular lines with common angle
Kiyoto Yoshino
In 2018, Szöllősi and Östergård used a computer to enumerate sets of equiangular lines with common angle in dimension . They observed that the numbers of s…
Regular graphs to induce even periodic Grover walks
Sho Kubota, Hiroto Sekido, Kiyoto Yoshino
The interest of this paper is a characterization of graphs that induce periodic Grover walks with given periods. In previous studies, Yoshie has shown that the only graphs that ind…
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…
A quantum searching model finding one of the edges of a subgraph in a complete graph
Yusuke Yoshie, Kiyoto Yoshino
Some of the quantum searching models have been given by perturbed quantum walks. Driving some perturbed quantum walks, we may quickly find one of the targets with high probability.…
Embedding theory of lattices and its application for -integrable lattices
Qianqian Yang, Kiyoto Yoshino
For a positive integer , a lattice is said to be -integrable if is isometric to a sublattice of for some integer . Conway and Sloane f…
Maximality of Seidel matrices and switching roots of graphs
Meng-Yue Cao, Jack H. Koolen, Akihiro Munemasa +1
In this paper, we discuss maximality of Seidel matrices with a fixed largest eigenvalue. We present a classification of maximal Seidel matrices of largest eigenvalue , which giv…
Constellations in prime elements of number fields
Wataru Kai, Masato Mimura, Akihiro Munemasa +2
Given any number field, we prove that there exist arbitrarily shaped constellations consisting of pairwise non-associate prime elements of the ring of integers. This result extends…
The uniqueness of covers for widely generalized line graphs
Michitaka Furuya, Sho Kubota, Tetsuji Taniguchi +1
As a natural generalization of line graphs, Hoffman line graphs were defined by Woo and Neumaier. Especially, Hoffman line graphs are closely related to the smallest eigenvalue of…