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Titlebook: Algorithmics of Wireless Networks; 18th International S Thomas Erlebach,Michael Segal Conference proceedings 2022 The Editor(s) (if applica

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,The Complexity of Growing a Graph,ally, the algorithm should try to minimize the total number of slots . and of excess edges . used by the process..We show that the most interesting case is when . and that there is a natural trade-off between . and .. We begin by investigating growth schedules of . excess edges. On the positive side
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,Dispersing Facilities on Planar Segment and Circle Amidst Repulsion, parametric search technique of Megiddo [.]; we can solve the problem exactly in . time, which is faster than the former. Continuing further, using the improved parametric technique we give an .-time algorithm for .. We finally show that the above .-approximation algorithm of [.] can be easily adapt
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Blackout-Tolerant Temporal Spanners,rs of vertices of interest in . up to a multiplicative factor of ., even when the graph edges at a single time-instant become unavailable. In particular, we consider the ., ., and . cases and, for each case we look at three quality requirements: . distances (i.e., .), . distances (i.e., . for an arb
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,Molecular Robots with Chirality on Grids,nimum. Recently, the . model has been introduced in order to deal with robots considered silent, anonymous, and oblivious but capable to aggregate into more complex structures, called .. We study the case where robots move along a regular square grid and we formally define the . (MPF) problem where
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,Centralised Connectivity-Preserving Transformations by Rotation: 3 Musketeers for All Orthogonal Cohe minimal mechanical operation of rotating around each other. The goal is to transform an initial shape of devices A into a target shape B. We are interested in characterising the class of shapes which can be transformed into each other in such a scenario, under the additional constraint of maintai
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,Fault-Tolerant Graph Realizations in the Congested Clique,ch each node . is associated with a degree value .(.), and the resulting degree sequence is realizable if it is possible to construct an overlay network with the given degrees. Our main result is a .(.)-round deterministic algorithm for the degree-sequence realization problem in a .-node Congested C
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