2 papers
math.CO2026
Nonexistence of Strongly Regular Graphs via Gegenbauer Positivity and SRG Counting
Zhen-Qi Liao, Jiaxin Wang, Wei-Hsuan Yu +1
This paper develops a natural extension of the multipoint spherical semidefinite method of Liao and Yu~\cite{LY}, studying the interaction between semidefinite programming and stro…
math.CO2026
Nonexistence of strongly regular graphs via multipoint spherical semidefinite bounds
Zhen-Qi Liao, Wei-Hsuan Yu
We use multipoint semidefinite programming to prove the nonexistence of strongly regular graphs. A normalized eigenspace projection of a primitive strongly regular graph gives a sp…