Non-isomorphic 4-(48,5,λ) designs with PSL(2,47) as automorphism group are enumerated. It turns out that there are 12, 295, 1195 and 2368 pairwise non-isomorphic designs in this class, with λ equal to ...
Abstract. A graph is said to be DQS if there is no other non-isomorphic graph with the same signless Laplacian spectrum. For a DQS graph 𝐺, we show that 𝐺∪𝑟𝐾₁ is DQS under certain conditions.
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