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Preprint Sep 2026

Collision-free Movement on Grids and Beyond

We study collision-free movement problems on graphs, where the task is to coordinate a set of robots so that they reach a target formation satisfying a desired property while minimizing the total travel distance. This framework extends two classical models: (a) minimizing movement [Demaine et al., TALG'09,'14], which d...

Hendrik Molter, M. Zehavi · 0 citations
Preprint Sep 2026

Counting Paths and Trees via Exterior Algebra

We give randomized approximation algorithms for counting k-paths and k-forests in a host graph. Here k denotes the number of pattern vertices, n and m denote the numbers of host vertices and edges or arcs, {\epsilon} is the relative error, and {\delta} is the failure probability. Our main results are: 1. Paths: We appr...

Fahad Panolan, Saket Saurabh, M. Zehavi et al. · 0 citations

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