Distance-regular graphs

ER Van Dam, JH Koolen, H Tanaka - arxiv preprint arxiv:1410.6294, 2014 - arxiv.org
This is a survey of distance-regular graphs. We present an introduction to distance-regular
graphs for the reader who is unfamiliar with the subject, and then give an overview of some …

[HTML][HTML] Modular adjacency algebras of Grassmann graphs

O Shimabukuro, M Yoshikawa - Linear Algebra and its Applications, 2015 - Elsevier
The adjacency algebra of an association scheme is defined over an arbitrary field. In
general, it is always semisimple over a field of characteristic zero but not always semisimple …

[HTML][HTML] Modular adjacency algebras of dual polar schemes

O Shimabukuro - Linear Algebra and its Applications, 2016 - Elsevier
We can define the adjacency algebra of an association scheme over an arbitrary field. It is
not always semisimple over a field of positive characteristic. The structures of adjacency …