By H. Levent Akin, Nancy M. Amato, Volkan Isler, A. Frank van der Stappen

This conscientiously edited quantity is the result of the 11th version of the Workshop on Algorithmic Foundations of Robotics (WAFR), that is the most excellent venue showcasing leading edge study in algorithmic robotics. The 11th WAFR, which used to be held August 3-5, 2014 at Boğaziçi collage in Istanbul, Turkey persevered this practice. This quantity comprises prolonged models of the forty two papers awarded at WAFR. those contributions spotlight the leading edge learn in classical robotics difficulties (e.g. manipulation, movement, direction, multi-robot and kinodynamic planning), geometric and topological computation in robotics to boot novel purposes similar to informative direction making plans, energetic sensing and surgical making plans. This booklet - wealthy via issues and authoritative individuals - is a special reference at the present advancements and new instructions within the box of algorithmic foundations.

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**Additional info for Algorithmic Foundations of Robotics XI: Selected Contributions of the Eleventh International Workshop on the Algorithmic Foundations of Robotics**

**Example text**

Sm }, T = {t1 , . . , tm } be two sets of m points in W. Additionally, assume that for every two distinct element x, x of S ∪ T it holds that x − x ≥ 4. Then, given m unlabeled unit disc robots, our algorithm can determine whether a path moving the m robots from S to T exists in O ((m + n) log n) time. If a path exists the algorithm finds it in O n log n + mn + m 2 time. 7 Open Problems and Future Work We have studied a basic variant of the multi-robot motion-planning problem, where the goal is to find collision-free motions that bring a given set of indistinguishable unit discs in a simple polygon to a given set of target positions.

Comput. Geom. 22(4), 505–525 (1999) 2. : Sliding disks in the plane. Int. J. Comput. Geom. Appl. 18(5), 373–387 (2008) 3. : On reconfiguration of disks in the plane and related problems. Comput. : Theory Appl. 46(3), 191–202 (2013) 4. : Shortest move-sequence in the generalized 15-puzzle is NP-hard. Manuscript, Laboratory for Computer Science, MIT 1 (1984) 5. : Multi-color pebble motion on graphs. Algorithmica 58(3), 610–636 (2010) 6. : PSPACE-completeness of sliding-block puzzles and other problems through the nondeterministic constraint logic model of computation.

B (x, r ) = {y ∈ X | d (x, y) < r }. 9 Here, we set x = 0 for x = 0. info 30 O. Arslan et al. Here, r Q (x) < 0 means B Q (x) is empty. We will abuse the notion of the consensus ball for a single tree, σ, and its cluster, I ∈ C (σ) \ {J }, as the open ball centered at c (x|I ) with radius r I,σ (x): = min − c (x|I )−m D,σ (x) s D,σ (x) s D,σ (x) T D ∈ K ∈ C (σ) I ⊆ K J . 2 (12) It is also convenient to have r (x) denote the centroidal radius of x ∈ Rd r (x) := max xi − c (x) i∈J J , 2. (13) Looking ahead toward Lemma 1, the sufficiency condition for the existence of nontrivial consensus balls motivates: J Definition 5 We call x ∈ Rd a symmetric configuration associated with (σ, τ ) if centroids of partial configurations x|A, x|B and x|C form an equilateral triangle.