Wujie Shen

collaborators

3 papers

math.CO2026

$\partial$ -invariant path generators for digraphs

Zhenzhi Li, Wujie Shen

We study the structure of the space $Ω_{3} (G)$ of $\partial$ -invariant 3-paths in a directed graph $G$ . We prove that $Ω_{3} (G)$ admits a basis consisting of trapezohedral paths $τ_{m}$ …

math.GT2025

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.

∂-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

$\partial$ -invariant path generators for digraphs