Menglong Zhang

activity

20222026

collaborators

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2 papers · 1 filter

math.CO2025

Perfect difference families, perfect systems of difference sets and their applications

Hengrui Liu, Tao Feng, Xiaomiao Wang +1

Let $v$ be a positive odd integer. A $(v, k, λ)$ -perfect difference family (PDF) is a collection $F$ of $k$ -subsets of ${0, 1, \dots, v - 1}$ such that the multiset $\bigcup_…

math.CO2025

Progress towards generalized Nash-Williams' conjecture on $K_{4}$ -decompositions

Menglong Zhang, Gennian Ge

A $K_{4}$ -decomposition of a graph is a partition of its edges into $K_{4}$ s. A fractional $K_{4}$ -decomposition is an assignment of a nonnegative weight to each $K_{4}$ in a graph such th…

Perfect difference families, perfect systems of difference sets and their applications

Progress towards generalized Nash-Williams' conjecture on K4​-decompositions

Progress towards generalized Nash-Williams' conjecture on $K_{4}$ -decompositions