162 citations · 348 across the 33 of their papers we have counts for
5 papers · 1 filter
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…
On Generalized Knot Groups
Xiao-Song Lin, Sam Nelson
Generalized knot groups G_n(K) were introduced first by Wada and Kelly independently. The classical knot group is the first one G_1(K) in this series of finitely presented groups.…
Knot adjacency and fibering
Efstratia Kalfagianni, Xiao-Song Lin
It is known that the Alexander polynomial detects fibered knots and 3-manifolds that fiber over the circle. In this note, we show that when the Alexander polynomial becomes inconcl…
Knot adjacency, genus and essential tori
Efstratia Kalfagianni, Xiao-Song Lin
A knot K is called n-adjacent to another knot K', if K admits a projection containing n generalized crossings such that changing any 0 < m \leq n of them yields a projection of K'.…