Abstract:

Koolen and Park found admissible intersection arrays of Shilla graphs with $b\le 3$. I.N. Beloussov, A.A. Makhnev, and Tsenzhui Cai listed admissible intersection arrays of Shilla graphs with $b=4$. I.N. Beloussov, A.A. Makhnev, and Haiyan Li listed admissible intersection arrays of Shilla graphs with $b=5$. Mingzhu Chen, A.A.~Mahnev, and I.N.~Beloussov listed intersection arrays of Shilla graphs with $b=6$. In this article, we study small Shilla graphs with $b\le 5$.