Bounded barcode-chain conjecture for merge tree interleaving distance
Bounded barcode-chain conjecture. There exists a number M(n)M(n)M(n) such that for any y0,y1∈MTny_0,y_1\in\mathrm{MT}_ny0,y1∈MTn, there exist x0,…,xkx_0,\ldots,x_kx0,…,xk with k<M(n)k<M(n)k<M(n), y0=x0y_0=x_0y0=x0, and y1=x1y_1=x_1y1=x1 sat…