10 citations · 11 across the 5 of their papers we have counts for
7 papers · 1 filter
Knot data analysis using multiscale Gauss link integral
Li Shen, Hongsong Feng, Fengling Li +3
In the past decade, topological data analysis (TDA) has emerged as a powerful approach in data science. The main technique in TDA is persistent homology, which tracks topological i…
A standard form of incompressible surfaces in 3-dimensional handlebodies
Wei Lin, Fengchun Lei
Applying Morse theory, we give a standard form for a class of surfaces which includes all the properly embedded incompressible surfaces in 3-dimensional handlebodies. We also give…
A characteristics for a surface sum of two handlebodies along an annulus or a once-punctured torus to be a handlebody
Fengchun Lei, He Liu, Fengling Li +1
The main results of the paper is that we give a characteristics for an annulus sum and a once-punctured torus sum of two handlebodies to be a handlebody as follows: 1. The annulus…
Density of roots of the Yamada polynomial of spatial graphs
Miaowang Li, Fengchun Lei, Fengling Li +1
We survey the construction and properties of the Yamada polynomial of spatial graphs and present the Yamada polynomial formulae for some classes of graphs. Then we construct an inf…
On Yamada polynomial of spatial graphs obtained by edge replacements
Miaowang Li, Fengchun Lei, Fengling Li +1
We present formulae for computing the Yamada polynomial of spatial graphs obtained by replacing edges of plane graphs, such as cycle-graphs, theta-graphs, and bouquet-graphs, by sp…
Critical Heegaard surfaces obtained by self-amalgamation
Qiang E, Fengchun Lei
Critical surfaces can be regarded as topological index 2 minimal surfaces which was introduced by David Bachman. In this paper we give a sufficient condition and a necessary condit…