Menglong Zhang

activity

20222026

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Showing 2022Show all

2 papers · 1 filter

math.CO2022

The existence of cyclic (v,4,1)-designs

Menglong Zhang, Tao Feng, Xiaomiao Wang

Even though Peltesohn proved that a cyclic (v,3,1)-design exists if and only if $v \equiv 1, 3 (mod 6)$ as early as 1939, the problem of determining the spectrum of cyclic (v,k,1)-de…

math.CO2022

The structure of maximal non-trivial d-wise intersecting uniform families with large sizes

Menglong Zhang, Tao Feng

For a positive integer $d \geq 2$ , a family $F \subseteq (k [ n ])$ is said to be d-wise intersecting if $∣ F_{1} \cap F_{2} \cap \dots \cap F_{d} ∣ \geq 1$ for all $F_1, F_2, \dot…