Wujie Shen

collaborators

4 papers

math.GT2026

Minimal Filling $K$ -Systems of Curves

Hong Chang, Xiao Chen, Wujie Shen

In this paper, we determine the exact minimal number of curves in a filling $k$ -system on an oriented surface of genus $g$ for any positive integers $k$ and $g$ .

math.CO2026

$\partial$ -invariant path generators for digraphs

Zhenzhi Li, Wujie Shen

We study the structure of the space $I^c ◯_{3} (G)$ of $\partial$ -invariant 3-paths in a directed graph $G$ . We prove that $I^c ◯_{3} (G)$ admits a basis consisting of trapezohedral paths $Ï_…

math.GT2026

A Linear Bound on the Diameter of the Kakimizu Complex for Hyperbolic Knots

Xiao Chen, Wujie Shen

This paper focuses on the Kakimizu complex of a hyperbolic knot $K$ . We define a complex $I S_{ℓ} (K)$ to study incompressible Seifert surfaces of genus at most $ℓ$ , and prove th…

math.GT2025

Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Xiao Chen, Wujie Shen

We show that the maximal $1$ -system of loops in a punctured projective plane is unique up to the mapping class group action if and only if the number of punctures is at most five.

Minimal Filling K-Systems of Curves

∂-invariant path generators for digraphs

A Linear Bound on the Diameter of the Kakimizu Complex for Hyperbolic Knots

Uniqueness of Maximal Curve Systems on Punctured Projective Planes

Minimal Filling $K$ -Systems of Curves

$\partial$ -invariant path generators for digraphs