3 papers
math.CO2023
Weakly distance-regular circulants, I
Akihiro Munemasa, Kaishun Wang, Yuefeng Yang +1
We classify certain non-symmetric commutative association schemes. As an application, we determine all the weakly distance-regular circulants of one type of arcs by using Schur rin…
math.GR2023
A complete classification of shuffle groups
Binzhou Xia, Junyang Zhang, Zhishuo Zhang +1
For positive integers and , the shuffle group is generated by the permutations of a deck of cards performed by cutting the deck into piles with …
math.CO2022
A solution to Babai's problem on digraphs with non-diagonalizable adjacency matrix
Yuxuan Li, Binzhou Xia, Sanming Zhou +1
The fact that the adjacency matrix of every finite graph is diagonalizable plays a fundamental role in spectral graph theory. Since this fact does not hold in general for digraphs,…