2 papers
math.CO2026
Towards a classification of -homogeneous distance-regular graphs with positive intersection number
Jack H. Koolen, Mamoon Abdullah, Brhane Gebremichel +1
Let be a graph with diameter at least two. Then is said to be -homogeneous (in the sense of Nomura) whenever for every pair of adjacent vertices and in , t…
math.CO2024
On the (non-)existence of tight distance-regular graphs: a local approach
Jack H. Koolen, Jae-Ho Lee, Shuang-Dong Li +3
Let denote a distance-regular graph with diameter . JuriÅ¡iÄ and Vidali conjectured that if is tight with classical parameters , , then $Î…