Distance-regular graphs

TL;DR

This paper surveys the field of distance-regular graphs, providing an introduction and recent developments since the foundational monograph by Brouwer, Cohen, and Neumaier in 1989.

Contribution

It offers a comprehensive overview of recent advances in the study of distance-regular graphs since 1989.

Findings

Summarizes key developments in the theory of distance-regular graphs

Highlights new classifications and properties discovered since 1989

Provides an accessible introduction for newcomers to the field

Abstract

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 developments in the area of distance-regular graphs since the monograph 'BCN' [Brouwer, A.E., Cohen, A.M., Neumaier, A., Distance-Regular Graphs, Springer-Verlag, Berlin, 1989] was written.