88 citations · 227 across the 22 of their papers we have counts for
4 papers · 1 filter
Random cyclic dynamical systems
Michał Adamaszek, Henry Adams, Francis Motta
For X a finite subset of the circle and for 0 < r <= 1 fixed, consider the function f_r : X -> X which maps each point to the clockwise furthest element of X within angular distanc…
A note on independence complexes of chordal graphs and dismantling
Michal Adamaszek
We show that the independence complex of a chordal graph is contractible if and only if this complex is dismantlable (strong collapsible) and it is homotopy equivalent to a sphere…
Upper bound theorem for odd-dimensional flag triangulations of manifolds
Michal Adamaszek, Jan Hladký
We prove that among all flag triangulations of manifolds of odd dimension 2r-1 with sufficiently many vertices the unique maximizer of the entries of the f-, h-, g- and gamma-vecto…
The Vietoris-Rips complexes of a circle
Michal Adamaszek, Henry Adams
Given a metric space X and a distance threshold r>0, the Vietoris-Rips simplicial complex has as its simplices the finite subsets of X of diameter less than r. A theorem of Jean-Cl…