70 citations · 316 across the 56 of their papers we have counts for
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math.GT2007★ 12 cited
Rips Complexes of Planar Point Sets
Erin W. Chambers, Vin de Silva, Jeff Erickson +1
Fix a finite set of points in Euclidean -space $\euc^n$, thought of as a point-cloud sampling of a certain domain $D\subset\euc^n$. The Rips complex is a combinatorial simplicia…
math.GT2003
Flowlines transverse to fibred knots and links
R. Ghrist, E. Kin
We consider vector fields on knot/link complements in which are transverse to the fibres of a fibration of the complement over a circle. We prove that a large class of fibred…
math.GT1999★ 12 cited
Configuration spaces and braid groups on graphs in robotics
Robert Ghrist
Configuration spaces of distinct labeled points on the plane are of practical relevance in designing safe control schemes for Automated Guided Vehicles (robots) in industrial setti…