2 citations · 5 across the 5 of their papers we have counts for
5 papers
A New Way to Tabulate Knots
Lisa Hernandez, Xiao-Song Lin
We introduce a new way to tabulate knots by representing knot diagrams using a pair of planar trees. This pair of trees have their edges labeled by integers, they have no valence 2…
On n-punctured ball tangles
Jae-Wook Chung, Xiao-Song Lin
We consider a class of topological objects in the 3-sphere which will be called {\it -punctured ball tangles}. Using the Kauffman bracket at , an invariant for…
Continuous Time Markov Processes on Graphs
Jianjun Tian, Xiao-Song Lin
We study continuous time Markov processes on graphs. The notion of frequency is introduced, which serves well as a scaling factor between any Markov time of a continuous time Marko…
Colored Coalescent Theory
Jianjun Tian, Xiao-Song Lin
We introduce a colored coalescent process which recovers random colored genealogical trees. Here a colored genealogical tree has its vertices colored black or white. Moving backwar…
Knot adjacency and satellites
Efstratia Kalfagianni, Xiao-Song Lin
A knot K is called n-adjacent to the unknot, if K admits a projection containing n generalized crossings such that changing any m (no larger than n) of them yields a projection of…